Ch. Skokos 31/07/20 1
Citations (excluding self and co-author citations)
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To book B.1: Bountis T. C. & Skokos Ch.: 2012, "Complex Hamiltonian Dynamics", 255 pages, Springer Series
in Synergetics, Springer-Verlag, Berlin Heidelberg.
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R.6) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.7) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition
games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid.
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M.Sc. Thesis, Nazarbayev University, Kazakhstan.
R.11) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees of
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R.13) Berk J. N.: 2018, " Optical Detection of Radio Waves through a Nanomechanical Transducer", M.Sc. Thesis,
San Diego State University.
R.14) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in
a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60.
R.15) Tarnopolski M.: 2018, "Correlation between the Hurst exponent and the maximal Lyapunov exponent:
Examining some low-dimensional conservative maps", Phys. A, 490, 834-844.
R.16) Zhou Z., Zhang B. & Qiu D.: 2017 "An investigation on frequency characteristics of wireless power transfer
systems with relay resonators", COMPEL - The international journal for computation and mathematics in
electrical and electronic engineering, 36, 1594-1611.
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R.24) Kalogeropoulos N.: 2015, "Ricci Curvature, Isoperimetry and a Non-additive Entropy", Entropy, 17, 1278-
1308.
R.25) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
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Astron. Nachr., 335, 877-885.
R.27) El Behery, R.: 2013, "Identifying system eigenvalues using DSM uncertainty principle approach", ", in
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information in Hamiltonian systems", PLOS ONE, 9, e89585.
R.29) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear arabesques:
A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033.
R.30) Boozer A.H.: 2013, "Model of magnetic reconnection in space and astrophysical plasmas", Phys. Plasmas, 20,
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R.31) Keshavamurthy S.: 2013, "Scaling perspective on intramolecular vibrational energy flow: Analogies, insights,
and challenges", Advances in Chem. Phys., eds. Rice S.A. & Dinner A.R., 153, 43-110.
To edited volume EV.3: Gottwald G. & Skokos Ch. (eds.): 2014, Chaos, Volume 24, Issue 2. Focus Issue: "Chaos
Detection Methods and Predictability". Editorial: "Preface to the Focus Issue: Chaos Detection Methods and
Predictability", 2014, Chaos, 24, 024201.
R.32) Zou Y., Donner R.V., Thiel M. & Kurths J.: 2016, "Disentangling regular and chaotic motion in the standard
map using complex network analysis of recurrences in phase space", Chaos, 26, 023120.
R.33) Ansmann G.: 2015, "A highly specific test for periodicity", Chaos, 25, 113106.
To edited volume EV.4: Skokos Ch., Gottwald G. & Laskar J. (eds.): 2016, "Chaos detection and predictability",
Lecture Notes in Physics, 2016, Vol. 915, Springer-Verlag, Berlin Heidelberg.
R.34) de Pedro-Carracedoa J., Ugenab A.M. & Gonzalez-Marcosc A.P.: 2019, "Dynamical analysis of biological
signals with the 0–1 test", eess.SP/1906.00782.
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ergodicity transition: a phase space perspective", Phys. Chem. Chem. Phys., 22, 11139.
R.36) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.37) Roque T.F., Marquardt F. & Yevtushenko O.M.: 2020, "Nonlinear dynamics of weakly dissipative
optomechanical systems", New J. Phys., 22, 013049.
R.38) Karmakar S., Yadav P.K. & Keshavamurthy S.: 2020, "Stable chaos and delayed onset of statisticality in
unimolecular dissociation reactions", Commun. Chem., 3, 4.
R.39) Das S. & Bäcker A.: 2020, "Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map",
Phys. Rev. E, 101, 032201.
R.40) Zhang W., Zheng Y., Liu T. & Guo X.Y.: 2019, "Multi-pulse jumping double-parameter chaotic dynamics of
eccentric rotating ring truss antenna under combined parametric and external excitations", Nonlin. Dyn., 98,
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R.41) Gondelach D.J., Armellin R. & Wittig A.: 2019, "On the predictability of Galileo disposal orbits", Celest.
Mech. Dyn. Astron., 131, 60.
R.42) Datseris G.: 2019, "Ballistic Electron Transport in Graphene Nanodevices and Billiards", Ph.D. Thesis, Georg-
August-Universität Göttingen.
R.43) Lhotka C., Bourdin P. & Pilat-Lohinger E.: 2019, "Orbital stability of ensembles of particles in regions of
magnetic reconnection in Earth’s magneto-tail", Phys. Plasmas, 26, 072903.
R.44) Chen Y., Zhou Y. & Li Y.: 2019, "A Pilot Study of Chaos Criteria with Hilbert Transform and Mutual
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R.45) Gondelach D.J.: 2019, "Orbit Prediction and Analysis for Space Situational Awareness", Ph.D. Thesis,
University of Surrey.
R.46) Paramonov S.V.: 2018, "Pseudo-random sequences identification by probability distribution moments",
Program Systems: Theory and Applications, 9(3), 3–9 (in Russian).
R.47) Maffione NP., Gómez F.A., Cincotta P.M., Giordano C.M., Grand R.J.J., Marinacci F., Pakmor R., Simpson
C.M., Springel V. & Frenk C.S.: 2018, "On the relevance of chaos for halo stars in the solar neighbourhood
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Ch. Skokos 31/07/20 3
R.48) Pouryoussefi S.M. & Zhang Y.: 2018, "Chaos in pulsating heat pipes", Book Chapter
(https://www.researchgate.net/publication/324606165_Chaos_in_Pulsating_Heat_Pipes).
R.49) Huang D.,Chen Q., Ma S., Zhang Y. & Chen S.: 2018, "Wide-Area Measurement—Based Model-Free
Approach for Online Power System Transient Stability Assessment", Energies, 11, 958.
R.50) Iserles A. & Quispel G.R.W.: 2018, "Why Geometric Numerical Integration?", in "Discrete Mechanics,
Geometric Integration and Lie–Butcher Series", eds. Ebrahimi-Fard K. & Barbero Liñán M., Springer
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R.52) Mithun T., Kati Y., Danieli C. & Flach S.: 2018, "Weakly nonergodic dynamics in the Gross-Pitaevskii lattice",
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R.54) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body
problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden.
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laminated circular cylindrical shell with membranes", J. Sound Vib., 423, 65-99.
R.56) Hillebrand M.: 2017, "Chaotic Dynamics of DNA Models", Honours Thesis, Department of Mathematics and
Applied Mathematics, University of Cape Town, South Africa.
R.57) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a time-
dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.
To paper BC.1: Skokos Ch.: 2010, "The Lyapunov Characteristic Exponents and their computation", Lect. Notes
Phys., 790, 63-135.
R.58) Chen W., Chen S., Tang J. & Li H.: 2020, "Stability and bifurcation analysis of a bevel gear system supported
by finite-length squeeze film dampers", Nonlin. Dyn., in press.
R.59) Aslanov V., Ledkov A. & Konstantinov M.: 2020, "Chaotic motion of a cylindrical body during contactless
transportation from MEO to LEO by ion beam", Nonlin. Dyn., in press.
R.60) Doan H.: 2020, "An exploration into rings of oscillators using the Ricker model", M.Sc. Thesis, California State
Polytechnic University.
R.61) di Ruzza S., Daquin J. & Pinzari G.: 2020, "Symbolic dynamics in a binary asteroid system", Commun. Nonlin.
Sci. Numer. Simul., 91, 105414.
R.62) Bountis A.: 2020, "Complex Dynamics and Statistics of 1-D Hamiltonian Lattices: Long Range Interactions
and Supratransmission", Nonlin. Phenom. Complex Syst., 23, 133-148.
R.63) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.64) Rautenberg M. & Gärttner M.: 2020, "Classical and quantum chaos in a three-mode bosonic system", Phys.
Rev. A, 101, 053604.
R.65) Perre R.M., Carneiro B.P., Méndez-Bermúdez J.A., Leonel E.D. & de Oliveira J.A.: 2020, "On the dynamics of
two-dimensional dissipative discontinuous maps", Chaos Solit. Fract., 131, 109520.
R.66) Panahi S. & Jafari S.: 2020, "A fast technique for calculating master stability function", Int. J. Mod. Phys. B,
34, 2050024.
R.67) Mestre M., Llinares C. & Carpintero D.D.: 2020, "Effects of chaos on the detectability of stellar streams",
MNRAS, 492, 4398–4408.
R.68) Ma D.-Z., Zhang D., Fu G. & Wu J.-P.: 2020, "Chaotic dynamics of string around charged black brane with
hyperscaling violation", J. High En. Phys., 103.
R.69) Fischer C., Zourmba K. & Mohamadou A.: 2020, "Lyapunov exponents spectrum estimation of fractional order
nonlinear systems using Cloned Dynamics", APNUM, 154, 187–204.
R.70) Clerc M.G., Coulibaly S. & Ferré M.A.: 2020, "Freak chimera states in a locally coupled Duffing oscillators
chain", Commun. Nonlinear Sci. Numer. Simulat., 89, 105288.
R.71) Clerc M.G., Coulibaly S., Ferré M.A. & Rojas R.G.: 2020, "Two-dimensional optical chimera states in an array
of coupled waveguide resonators", Chaos, 30, 043107.
R.72) Karabutov N.N.: 2020, "Frameworks Application for Estimation of Lyapunov Exponents for Systems with
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R.73) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic
Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 1-31, Springer Series in Synergetics,
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R.74) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov
exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851.
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R.75) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition
games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid.
R.76) Zhang W., Zheng Y., Liu T. & Guo X.Y.: 2019, "Multi-pulse jumping double-parameter chaotic dynamics of
eccentric rotating ring truss antenna under combined parametric and external excitations", Nonlin. Dyn., 98,
761-800.
R.77) Wernecke H., Sándor B. & Gros C.: 2019, "Chaos in time delay systems, an educational review", Phys. Rep.,
824, 1-40.
R.78) Rodríguez Martínez C.A. & Díaz Chávarro S.S.: 2019, Aplicación de la caotificación en la generación sintética
de señales Electrocardiográficas, BSc Thesis, Universidad Distrital Francisco José de Caldas (in Spanish).
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Sivashinsky PDE", ANZIAM J., 61, 270-285.
R.80) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.81) Selvam A.G.M., Vignesh D. & Jacob S.B.: 2019, "Dynamic Analysis of a Fractional Order Three Species
Interaction Model with Holling Type II Response", Int. J. Res. Advent Techn., 7, 476-481.
R.82) Olyaee M.H., Khanteymoori A. & Khalifeh K.: 2019, "Application of Chaotic Laws to Improve Haplotype
Assembly Using Chaos Game Representation", Sci. Rep., 9, 10361.
R.83) Lhotka C., Bourdin P. & Pilat-Lohinger E.: 2019, "Orbital stability of ensembles of particles in regions of
magnetic reconnection in Earth’s magneto-tail", Phys. Plasmas, 26, 072903.
R.84) Alawida M., Teh J. S., Samsudin A. & Alshoura W.H.: 2019, "An image encryption scheme based on
hybridizing digital chaos and finite state machine", Signal Proc., 164, 249-266.
R.85) J. A. Pérez-Hernández J.A. & Benet L.: 2019, "On the dynamics of Comet 1P/Halley: Lyapunov and power
spectra", MNRAS, 487, 296-303.
R.86) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators".
M.Sc. Thesis, Nazarbayev University, Kazakhstan.
R.87) Yuan J., Cheng Y., Feng J. & Sun C.: 2019, "Low Energy Flight: Orbital Dynamics and Mission Trajectory
Design", Science Press and Springer Nature Singapore Pte Ltd.
R.88) Minati L., Frasca M., Yoshimura N., Ricci L., Oświęcimka P., Koike Y., Masu K. & Ito H.: 2019, " Current-
Starved Cross-Coupled CMOS Inverter Rings as Versatile Generators of Chaotic and Neural-Like Dynamics
Over Multiple Frequency Decades", IEEEAccess, 7, 54638.
R.89) Lewis-Swan R.J., Safavi-Naini A., Bollinger J.J. & Rey A.M.: 2019, "Unifying scrambling, thermalization and
entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model", Nat.
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R.90) Coulibaly S., Taki M., Bendahmane A., Millot G., Kibler B. & Clerc M.G.: 2019, "Turbulence-induced rogue
waves in Kerr resonators", Phys. Rev. X, 9, 011054.
R.91) Alawida M., Samsudin A. & Teh J. S.: 2019, "Enhancing unimodal digital chaotic maps through
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R.92) Alamodi A.O.A., Sun K., Ai W., Chen C. & Peng D.: 2019, "Design new chaotic maps based on dimension
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R.93) Ani C. J.: 2019, "Chaotic behavior of charged particles in electromagnetic fields", M.Sc. Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.94) Vasiliev E.: 2018, "AGAMA reference", astro-ph.IM/1802.08255.
R.95) Mei L. & Huang L.: 2018, "Reliability of Lyapunov characteristic exponents computed by the two-particle
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R.96) Shefer V.A.: 2018, "Second-order chaos indicators MEGNO2 and OMEGNO 2: Theory", Russ. Phys. J., 60,
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R.97) Tarnopolski M.: 2018, "Correlation between the Hurst exponent and the maximal Lyapunov exponent:
Examining some low-dimensional conservative maps", Phys. A, 490, 834-844.
R.98) Sanjaroon V., Farhadi A., Motahari A.S. & Khalaj B.H., 2018, "Estimation of Nonlinear Dynamic Systems over
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R.99) Xu K., Maidana J.P., Castro S. & Orio P.: 2018, "Synchronization transition in neuronal networks composed of
chaotic or non-chaotic oscillators", Sci. Rep., 8, 8370.
R.100) Tiwary R.D., Kushvah B.S. & Ishwar B.: 2018, "Trajectory of asteroid 2017 SB20 within the CRTBP", J.
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R.101) Pearson S.: 2018, "Stellar Streams, Dwarf Galaxy Pairs, and the Halos in which they Reside", Ph.D. Thesis,
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R.102) Panichi F. & Turchetti G.: 2018, "Lyapunov and reversibility errors for Hamiltonian flows", Chaos Sol. Fract.,
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R.103) Minati L., Frasca M., Giustolisi G., Oświęcimka P., Drożdż S. & Ricci L.: 2018, "High-dimensional dynamics
in a single-transistor oscillator containing Feynman-Sierpiński resonators: Effect of fractal depth and
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R.105) Karabutov N.: 2018, "About Lyapunov Exponents Identification for Systems with Periodic Coefficients", I.J.
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R.106) Djondiné P., Barbot J.-P. & Ghanes M.: 2018, "Stability study and dynamical analysis of the multicellular
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R.108) Zampetaki A., Pablo Salas J. & Schmelcher P.: 2018, "Energy transfer mechanisms in a dipole chain: From
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R.110) Adler M.C. & Gaitonde D.V.: 2018, "Dynamic linear response of a shock/turbulent-boundary-layer interaction
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a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60.
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R.115) Hillebrand M.: 2017, "Chaotic Dynamics of DNA Models", Honours Thesis, Department of Mathematics and
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R.117) Ani C. J.: 2017, "Chaotic behavior of Hamiltonian systems: Application to plasma physics", Structured M.Sc.
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family case", in "Spaceflight Mechanics 2017", eds. McMahon J.W., Guo Y., Leve F.A. & Sims J.A., Advances
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R.119) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
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R.120) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 4: Local stability" in online book
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R.123) Tarnopolski M.: 2017, "Rotation of an oblate satellite - dependence on the true anomaly",
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R.1154) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in
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of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of
Thessaloniki (in Greek).
R.1289) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn.,
69, 2041-2063.
R.1290) Caranicolas N.D. & Zotos E.E.: 2012, "Investigating the nature of motion in 3D perturbed elliptic oscillators
displaying exact periodic orbits", Nonlinear Dyn., 69, 1795-1805.
R.1291) Voyatzis G., Gkolias I. & Varvoglis H.: 2012, "The dynamics of the elliptic Hill problem: periodic orbits and
stability regions", Cel. Mech. Dyn. Astron., 113, 125-139.
R.1292) Gerlach E. & Haghighipour N.: 2012, "Can GJ 876 host four planets in resonance?", Cel. Mech. Dyn. Astron.,
113, 35-47.
R.1293) Huang G.Q. & Wu X.: 2012, "Analysis of new four-dimensional chaotic circuits with experimental and
numerical methods", Int. J. Bifur. Chaos, 22, 1250042.
R.1294) Shefer V.A.: 2011, "Determination of orbit chaoticity indicators with analytically normalized tangent vector",
Izvestiya Vuzov. Fizika, 54, 13-21 (in Russian).
R.1295) Manos T. & Ruffo S.: 2011, "Scaling with system size of the Lyapunov exponents for the Hamiltonian Mean
Field model", Transp. Theory Stat, Phys., 40, 360-381.
R.1296) Zotos E.E.: 2011, "A new dynamical parameter for the study of sticky orbits in a 3D galactic model", Baltic
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R.1297) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2011, "A comparison of different indicators of
chaos based on the deviation vectors: application to symplectic mappings", Cel. Mech. Dyn. Astron., 111, 285-
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R.1298) Li R. & Wu X.: 2011, "Application of the fourth-order three-stage symplectic integrators in chaos
determination", Eur. Phys. J. Plus, 126, 73.
R.1299) Frouard J., Vienne A. & Fouchard M.: 2011, "The long-term dynamics of the Jovian irregular satellites",
Astron. Astroph., 532, A44.
R.1300) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the
SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642.
R.1301) Libert A.-S., Hubaux C. & Carletti T.: 2011, "The Global Symplectic Integrator: an efficient tool for stability
studies of dynamical systems. Application to the Kozai resonance in the restricted three-body problem",
MNRAS, 414, 659-667.
R.1302) Hinse T.C., Christou A.A., Alvarellos J.L.A. & Goździewski K.: 2010, "Application of the MEGNO technique
to the dynamics of Jovian irregular satellites", MNRAS, 404, 837-857.
R.1303) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom
Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras
(in Greek).
R.1304) Waż P. & Bielińska-Waż D.: 2009, "Asymmetry coefficients as indicators of chaos", Acta Phys. Pol. A, 116,
987-991.
R.1305) Frouard J., Fouchard M. & Vienne A.: 2009, "Comparison of Lyapunov chaos indicators", in "Dynamics of
Celestial Bodies", eds. Varvoglis H. & Knezevic Z., Publications of the Astronomical Observatory of Belgrade,
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R.1306) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in
Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-
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R.1307) Tziotzios T.: 2009, "Computation of chaoticity indices for systems with many degrees of freedom", M.Sc.
Thesis, Department of Physics, Faculty of Sciences, University of Thessanoniki,
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R.1308) Contopoulos G. & Harsoula M.: 2008, "Stickiness in chaos", Int. J. Bifur. Chaos, 18, 2929-2949.
R.1309) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D
Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of
Applied Analysis, Department of Mathematics, Univ. of Patras.
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R.1310) Frouard J., Fouchard M. & Vienne A.: 2008, "Comparison of fast Lyapunov chaos indicators for celestial
mechanics", in "Proceedings SF2A-2008: Semaine de l’ Astrophysique Française. Scientific Highlights", eds.
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R.1311) Carpintero D. D.: 2008, "Finding how many isolating integrals of motion an orbit obeys", MNRAS, 388,
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To paper P.24: Manos T., Skokos Ch., Athanassoula E. & Bountis T.: 2008, "Studying the global dynamics of
conservative dynamical systems using the SALI chaos detection method", Nonlin. Phenom. Complex Syst., 11,
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R.1312) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon
Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan.
R.1313) Sánchez-Martín P., Masdemont J.J. & Romero-Gómez M.: 2018, "From manifolds to Lagrangian coherent
structures in galactic bar models", A&A, 618, A72.
R.1314) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar
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Mech. Dyn. Astr., 123, 45-61.
R.1316) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
Astron. Nachr., 335, 877-885.
R.1317) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear
arabesques: A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033.
R.1318) Zotos E.E. & Carpintero D.D.: 2013, "Orbit classification in the meridional plane of a disk galaxy model with
a spherical nucleus", Celest. Mech. Dyn. Astr., 116, 417-438.
R.1319) Dvorak R. & Lhotka C.: 2013, "Celestial Dynamics. Chaoticity and Dynamics of Celestial Systems" Wiley-
VCH.
To paper P.25: Skokos Ch., Bountis T. C. & Antonopoulos Ch. : 2008, "Detecting chaos, determining the
dimensions of tori and predicting slow diffusion in Fermi-Pasta-Ulam lattices by the Generalized Alignment
Index method", Eur. Phys. J. Sp. Top., 165, 5-14.
R.1320) Sklan S. R. & Li B.: 2018, "The hidden role of coupled wave network topology on the dynamics of nonlinear
lattices", physics.class-ph/1803.08360.
R.1321) Hu S., Wu X., Huang G. & Liang E.: 2020, "A novel energy-conserving scheme for eight-dimensional
Hamiltonian problems", Astroph. J., 887, 191.
R.1322) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller
alignment index", Phys. Lett. A, 383, 2267-2271.
R.1323) Chaves-Velasquez L., Patsis P.A., Puerari I., Moreno E. & B. Pichardo B.: 2019, "Dynamics of thick, open
spirals in PERLAS potentials", Astroph. J., 871, 79.
R.1324) Ani C. J.: 2019, "Chaotic behavior of charged particles in electromagnetic fields", M.Sc. Thesis, Department
of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1325) Nestler S.: 2016, "Adapting the SALI/GALI Method to Kauffman Networks", B.Sc. Thesis, Complex Systems
Lab, Institute for Theoretical Physics, University of Bremen, Germany.
R.1326) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a
time-dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.
R.1327) Sándor Z. & Maffione N.: 2016, "The Relative Lyapunov Indicators: Theory and Application to Dynamical
Astronomy", Lect. Notes Phys., 915, 183-220.
R.1328) Manos T. & Robnik M.: 2015, "Accelerator modes and their effect in the diffusion properties in the kicked
rotator", ASTE, B11, 25-29.
R.1329) Maffione N.P., Gómez F.A., Cincotta P.M., Giordano C.M., Cooper A.P. & O'Shea B. W.: 2105, "On the
relevance of chaos for halo stars in the Solar Neighbourhood", MNRAS,453,2830-2847.
R.1330) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to
characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.
R.1331) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
(AIMS), Muizenberg, South Africa.
R.1332) Manos T. & Machado R.E.G.: 2014, "Chaos and dynamical trends in barred galaxies: bridging the gap
between N-body simulations and time-dependent analytical models", MNRAS, 438, 2201-2217.
R.1333) Faranda D., Leoncini X. & Vaienti S.: 2014, "Mixing properties in the advection of passive tracers via
recurrences and extreme value theory", Phys. Rev. E, 89, 052901.
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R.1334) Manos T. & Robnik M.: 2014, "Survey on the role of accelerator modes for the anomalous diffusion: The case
of the standard map", Phys. Rev. E, 89, 022905.
R.1335) Carpintero D.D., Maffione N. & Darriba L.: 2014, "LP-VIcode: A program to compute a suite of variational
chaos indicators", Astronomy and Computing, 5, 19-27.
R.1336) Wąż P.: 2014, "New indicators of chaos", Appl. Math. Comput., 227, 449-455.
R.1337) Carpintero D.D., Maffione N.P. & Darriba L.A.: 2013, "La Plata Variational Indicators code. A program to
compute a suite of variational chaos indicators. User's Guide for Version 1.0.2 (Kaos)", http://lp-
vicode.fcaglp.unlp.edu.ar//manual-LPVIcodeKaosv1.0.2.pdf
R.1338) Christodoulidi H. & Efthymiopoulos Ch.: 2013, "Low-dimensional q–tori in FPU lattices: dynamics and
localization properties", Physica D, 261, 92.
R.1339) Waż P. & Bielińska-Waż D.: 2013, "Asymmetry coefficients as indicators of chaos: Hyperchaotic Qi system",
Acta Phys. Pol. A, 123, 647-650.
R.1340) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2013, "Chaos detection tools: application to a
self–consistent triaxial model", MNRAS, 429, 2700-2717.
R.1341) Hennig D., Mulhern C. & Burbanks A.D.: 2013, "From strong chaos via weak chaos to regular behaviour:
Optimal interplay between chaos and order", Physica D, 253, 102-110.
R.1342) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos
indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033.
R.1343) Karanis G.I : 2012, "Simulations of star motion in galactic models and their connection to the inverse problem
of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of
Thessaloniki (in Greek).
R.1344) Manos T. & Ruffo S.: 2011, "Scaling with system size of the Lyapunov exponents for the Hamiltonian Mean
Field model", Transp. Theory Stat, Phys., 40, 360-381.
R.1345) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the
SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642.
R.1346) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom
Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras
(in Greek).
R.1347) Waż P. & Bielińska-Waż D.: 2009, "Asymmetry coefficients as indicators of chaos", Acta Phys. Pol. A, 116,
987-991.
R.1348) Tziotzios T.: 2009, "Computation of chaoticity indices for systems with many degrees of freedom", M.Sc.
Thesis, Department of Physics, Faculty of Sciences, University of Thessanoniki,
http://users.auth.gr/~voyatzis/SeniorThesis/mTziotzios.pdf (in Greek).
R.1349) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D
Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of
Applied Analysis, Department of Mathematics, Univ. of Patras.
R.1350) Carpintero D. D.: 2008, "Finding how many isolating integrals of motion an orbit obeys", MNRAS, 388,
1293-1304.
To paper P.26: Flach S., Krimer D. O. & Skokos Ch.: 2009, "Universal spreading of wave packets in disordered
nonlinear systems", Phys. Rev. Let., 102, 024101 (Erratum: Phys. Rev. Let., 102, 209903).
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nonlinear system: signatures of many-body localization", cond-mat.stat-mech/1911.03753.
R.1352) Pouyandeh S. & Olyaei H.Z.: 2019, "Quantum transport through a coupled non-linear exciton-phonon
system", cond-mat.mes-hall/1902.05060.
R.1353) Toikka L.A. & AndreanovA.: 2019, "Many-body dynamical localisation of coupled quantum kicked rotors",
cond-mat.mes-hall/1901.09362.
R.1354) Janarek J., Delande D., Cherroret N. & Zakrzewski J.: 2020, "Quantum boomerang effect for interacting
particles", Phys. Rev. A, 102, 0133303.
R.1355) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Wave-Turbulence Origin of the Instability of Anderson
Localization against Many-Body Interactions", Phys. Rev. Lett., 124, 186401.
R.1356) Rivas D. & Molina M.I.: 2020, "Seltrapping in flat band lattices with nonlinear disorder", Sci. Rep., 10, 5229.
R.1357) Lellouch S., Rançon A., De Bièvre S., Delande D. & Garreau J.C.: 2020, "Dynamics of the mean-field-
interacting quantum kicked rotor", Phys. Rev. A, 101, 043624.
R.1358) Gligorić G., Leykam D. & Maluckov A.: 2020, "Influence of different disorder types on Aharonov-Bohm
caging in the diamond chain", Phys. Rev. A, 101, 023839.
R.1359) Charalambous C., García-March M.Á, Muñoz-Gil G., Grzybowski P.R. & Lewenstein M.: 2020, "Control of
anomalous diffusion of a Bose polaron", Quantum, 4, 232.
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R.1360) Charalambous C.: 2020, "Quantum Brownian Motion in Bose-Einstein Condensates", Ph.D. Thesis,
Universitat Politecnica de Catalunya.
R.1361) Kirichenko E.V. & Stephanovich V.A.: 2019, "The influence of disorder on the exciton spectra in two-
dimensional structures", Phys. Chem. Chem. Phys., 21, 21847.
R.1362) De Roeck W. & Huveneers F.: 2019, "Glassy dynamics in strongly anharmonic chains of oscillators", Compt.
Rendus Phys., 20, 419-428.
R.1363) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1364) Sun Z.-Y. & Yu X.: 2019, "Transient diffusion and two-regime localization of discrete breatherlike excitations
in nonlinear Schrödinger lattice with disorder", Phys. Rev. E, 100, 022202.
R.1365) Sun Z.-Y. & Yu X.: 2019, "Transient anomalous diffusion of discrete breather-like states in a disordered
nonlinear optical lattice", OSA Continuum, 2, 2630-2626.
R.1366) Nazarenko S., Soffer A. & Tran M.-B.: 2019, "On the Wave Turbulence Theory for the Nonlinear Schrödinger
Equation with Random Potentials", Entropy, 21, 823.
R.1367) Oztas Z.: 2019, "Spin orbit coupled Bose Einstein condensate in a two dimensional bichromatic optical
lattice", Phys. Lett. A, 383, 504-508.
R.1368) Milovanov A.V. & Iomin A.: 2019, "Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with
algebraic power nonlinearity", Phys. Rev. E, 99, 052223.
R.1369) Mardonov Sh., Modugno M., Sherman E.Ya. & Malomed B.A.: 2019, "Rabi-coupling-driven motion of a
soliton in a Bose-Einstein condensate", Phys. Rev. Lett., 99, 013611.
R.1370) Lazarides N. & Tsironis G. P.: 2018, "Flat-Band Engineering with PT Metamaterials: Compact Localized
Flat-Band States", physics.optics/1806.11412.
R.1371) Likhachev V.N. & Vinogradov G.A.: 2018, "Charge Transfer on a Two-Dimensional Lattice with Impurity
Sites", Russ. J. Phys. Chem. B, 12, 1031–1038.
R.1372) Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2018, "Spin-wave dynamics in nonlinear chains with
spin-lattice interactions", Phys. Rev. E, 98, 062136.
R.1373) Žnidarič M. & Ljubotina M.: 2018, "Interaction instability of localization in quasiperiodic systems",
Proceedings of the National Academy of Sciences of the United States of America (PNAS), 115, 4595-4600.
R.1374) Sharabi Y., Sheinfux H.H., Sagi Y., Eisenstein G. & Segev M: 2018, "Self-Induced Diffusion in Disordered
Nonlinear Photonic Media", Phys. Rev. Lett., 121, 233901.
R.1375) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet
dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.
R.1376) Mardonov S., Konotop V.V., Malomed B.A., Modugno M. & Sherman E.Y.: 2018, "Spin-orbit-coupled soliton
in a random potential", Phys. Rev. A, 98, 023604.
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evolution of a wave function on a one-dimensional lattice", Theor. Math. Phys., 197, 1615-1525.
R.1378) Gerasymov O.I.: 2018, "Structure and Photonics of discrete meso-scaled anisotropic systems", Monography,
Odesa State Environmental University.
R.1379) Chattaraj T.: 2018, "Numerical Studies on Correlations in Dynamics and Localization of Two Interacting
Particles in Lattices", Ph.D. Thesis, The University of British Columbia, Vancouver, Canada (cond-mat.quant-
gas/1809.09982).
R.1380) Li S. & Li N.: 2018, "Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear
Schrödinger equations", Sci. Rep., 8, 5329.
R.1381) Kim E., Martínez A.J., Phenisee S. E., Kevrekidis P.G., Porter M.A. & Yang J.: 2018, "Direct measurement of
superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640.
R.1382) Molina M.I.: 2018, "Solitons in a modified discrete nonlinear Schrödinger equation", Sci. Rep., 8, 2186.
R.1383) Zhao X.L., Shi Z.C., Yu C.S. & Yi X.X.: 2017, "Dynamics of the extended Aubry-André-Harper model with
localization transition", https://arxiv.org/abs/1704.02159v1.
R.1384) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1385) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
and Applied Mathematics, University of Cape Town.
R.1386) Donsa S., Hofstätter H., Koch O., Burgdörfer J. & Březinová I.: 2017, "Long-time expansion of a Bose-
Einstein condensate: Observability of Anderson localization", Phys. Rev. A, 96, 043630.
R.1387) Nguyen B.P. & Kim K.: 2017, "Anderson localization and saturable nonlinearity in one-dimensional
disordered lattices", J. Mod. Phys., 64, 1923-1929.
R.1388) Radosavljević A., Gligorić G., Beličev P.P., Maluckov A. & Stepić M.: 2017, " Light propagation in binary
kagome ribbons with evolving disorder", Phys. Rev. E, 96, 012225
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R.1389) Rozenbaum E. & Galitski V.: 2017, "Dynamical Localization of Coupled Relativistic Kicked Rotors", Phys.
Rev. E, 95, 064303.
R.1390) Saleh M., Conti C. & Biancalana F.: 2017, "Anderson localisation and optical-event horizons in rogue-soliton
generation", Opt. Express, 25, 5457.
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and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270,
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"Nonexponential Decoherence and Subdiffusion in Atom-Optics Kicked Rotor", Phys. Rev. Lett., 118, 174101.
R.1393) Schlagheck P. & Dujardin J.: 2017, "Coherent backscattering in the Fock space of ultracold bosonic atoms",
Ann. Phys., 529, 1600311.
R.1394) Yu Y., Gao Y. & Tong P.: 2017, "Wave packet dynamics in periodically kicked nonlinear systems", J. Phys. B:
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R.1395) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial
Distributions of Nonlinearity", APETC 2017, 1354-1361.
R.1396) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder",
Comput. Math. Applic., 73, 914-930.
R.1397) Gopalakrishnan S., Ranjibul Islam K. & Knap M.: 2017, "Noise-Induced Subdiffusion in Strongly Localized
Quantum Systems", Phys. Rev. Lett., 119, 046601.
R.1398) Buonsante P., Franzosi R. & Smerzi A.: 2017, "Phase transitions at high energy vindicate negative
microcanonical temperature", Phys. Rev. E, 95, 052135.
R.1399) Milovanov A.V. & Iomin A.: 2017, "Destruction of Anderson localization in quantum nonlinear Schrödinger
lattices", Phys. Rev. E, 95, 042142.
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One-Dimensional Finite-Size Disordered Systems", Russ. J. Phys. Chem., 11, 481-491.
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R.1402) Cherroret N.: 2017, "A self-consistent theory of localization in nonlinear random media", J. Phys. Condens.
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"Experimental demonstration of non-exponential decoherence in a chaotic quantum system",
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de Ciencias Fásicas y Matemáticas, Universidad de Concepcián, Chile (in Spanish)
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Phys. Rev. A, 93. 063634.
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Chaos Solit. Fract., 93, 64-70.
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equation", Opt. Quant. Electron, 48, 388.
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discrete breathers in nonlinear lattices with asymmetric defects", Phys. Rev. E, 94, 032216.
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ordered and disordered lattices", Phys. Rev. E, 94, 023601.
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quantum localization", Phys. Rev. E, 93, 060203.
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processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
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Spreading Exponents in Some Hybrid Ordered-quasiperiodic Lattices", J Korean Phys. Soc., 68, 387-392.
R.1414) Chen L. & Zonca F.: 2016, "Physics of Alfvén waves and energetic particles in burning plasmas", Rev. Mod.
Phys., 88, 015008.
R.1415) Ranciaro Neto A., Sales M.O. & de Moura F.A.B.F.: 2016, "Electronic transport in disordered chains
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Einstein condensates through one-dimensional disordered potentials", Phys. Rev. A, 93, 013612.
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Chapter 3 in "Chaos, Information Processing and Paradoxical Games The Legacy of John S Nicolis", eds.
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Technical Report, National Academy of Sciences of Belarus, Minsk.
R.1420) Sperling T.: 2015, "The Experimental Search for Anderson Localisation of Light in Three Dimensions", Ph.D.
Thesis, Mathematisch-Naturwissenschaftliche Sektion, Fachbereich Physik, Universität Konstanz.
R.1421) Radosavljević A.: 2015, "Light propagation in complex systems of coupled waveguides", Ph.D. Thesis, School
of Electrical Engineering, University of Belgrade, Belgrade, Serbia
R.1422) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2015, "Dynamics of Spin-Orbit Coupled Bose-Einstein
Condensates in a Random Potential", Phys. Rev. Lett., 115, 180402.
R.1423) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian
National University, Canberra, Australia.
R.1424) Laptyeva T.V., Tikhomirov A.A., Kanakov O.I. & Ivanchenko M.V.: 2015, "Anderson atractors in active
arrays", Sci. Reports, 5, 13263.
R.1425) Silva A.F.G., Lima R.P.A., Chaves Filho V.L., de Moura F.A.B.F. & Lyra M.L. : 2016, "Sensitivity to initial
conditions of the self-trapping transition in C60 buckyballs with relaxing nonlinearity", Commun. Nonlinear Sci.
Simulat., 30, 101-107.
R.1426) Novitsky D.V.: 2015, "Disorder-induced light trapping enhanced by pulse collisions in one-dimensional
nonlinear photonic crystals", Opt. Commun., 353, 56-62.
R.1427) Milovanov A.V. & Iomin A.: 2015, "Topology of Delocalization in the Nonlinear Anderson Model and
Anomalous Diffusion on Finite Clusters", Discont. Nonlin. Complex., 4, 151-162.
R.1428) Khomeriki R., Chotorlishvili L., B. A. Malomed B.A. & Berakdar J.: 2015, "Creation and Amplification of
Electro-Magnon Solitons by Electric Field in Nanostructured Multiferroics", Phys. Rev. B,.91, 041408.
R.1429) dos Santos J.L.L., Nguyen Ba Phi & de Moura F.A.B.F.: 2015, "Electronic transport in disordered chains
with saturable nonlinearity", Physica A, 435, 15-21.
R.1430) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of
Applied Physics, Aalto University.
R.1431) Chaves Filho V.L., Lima R.P.A. & Lyra M.L. : 2015, "Interplay between modulational instability and self-
trapping of wavepackets in nonlinear discrete lattices", Chaos, 25, 063101.
R.1432) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials",
Chin. Phs. Lett., 32, 120302.
R.1433) Mulansky M.: 2014, "Optimizing Large-Scale ODE Simulations", https://arxiv.org/abs/1412.0544.
R.1434) Laptyeva T.V., Denisov S.V., Opisov G.V. & Ivanchenko M.V.: 2014, "Localization in active incommensurate
arrays", https://arxiv.org/abs/1412.0533.
R.1435) Martínez A.J., Molina M.I., Turitsyn S.K. & Kivshar Y.S.: 2014, "Nonlinear multi-core waveguiding
structures with balanced gain and loss", https://arxiv.org/abs/1405.3032.
R.1436) Zhao W.-L., Fu L.-B. & Liu J.: 2014, "Nonlinearity effects on the directed momentum current", Phys. Rev. E,
90, 022907.
R.1437) Sales M.O. & de Moura F.A.B.F.: 2014, "Electron–soliton dynamics in chains with cubic nonlinearity", J.
Phys.: Condens. Matter, 26, 415401.
R.1438) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked
rotator at different effective dimensions", J. Phys. A, 47, 335101.
R.1439) Doggen E.V.H. & Kinnunen J.J.: 2014, "Quench-induced delocalization", New J. Phys., 16 113051.
R.1440) d'Errico C., Chaudhuri S., Gori L., Kumar A., Lucioni E., Tanzi L., Inguscio M. & Modugno G.: 2014,
"Transport of an interacting Bose gas in 1D disordered lattices", AIP Conf. Proc., 1610, 24-33.
R.1441) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys.
Rev. E, 89, 062921.
R.1442) Cheng Y., Tang G. & Adhikari S.K.: 2014, "Localization of a spin-orbit coupled Bose-Einstein condensate in
a bichromatic optical lattice", Phys. Rev. A, 89, 063602.
R.1443) Novitsky D.V.: 2014, "Pulse propagation in one-dimensional disordered photonic crystals: Interplay of
disorder with instantaneous and relaxing nonlinearities", J. Opt. Soc. Amer. B, 31, 1282-1289.
R.1444) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices:
Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361.
R.1445) Mulansky M.: 2014, "Scaling of Chaos in Strongly Nonlinear Lattices", Chaos, 24, 024401.
R.1446) Lee C., Rai A., Noh C. & Angelakis D.G.: 2014, "Probing the effect of interaction in Anderson localization
using linear photonic lattices", Phys. Rev. A, 89, 023823.
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R.1447) Fleishon G., Fishman S. & Soffer A.: 2014, "High order perturbation theory for Nonlinear Anderson Model",
Eur. Phys. J. B, 87, 35.
R.1448) Leonetti M., Karbasi S., Mafi A. & Conti C.: 2014, "Observation of Migrating Transverse Anderson
Localizations of Light in Nonlocal Media", Phys. Rev. Lett., 112, 193902.
R.1449) Engl T., Dujardin J., Argüelles A., Schlagheck P., Richter K. & Urbina J.D.: 2014, "Coherent Backscattering
in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems", Phys. Rev.
Lett., 112, 140403.
R.1450) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain
in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921.
R.1451) Albuquerque E.L., Fulco U.L., Freire V.N., Caetano E.W.S., Lyra M.L. & Moura F.A.B.F.: 2014, "DNA-based
nanobiostructured devices: The role of the quasiperiodicity and correlation effects", Phys. Rep., 535, 139-209.
R.1452) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.
R.1453) Folli V., Gallo K. & Conti C.: 2013, "Purely nonlinear disorder-induced localizations and their parametric
amplification", Opt. Lett., 38, 5276-5279.
R.1454) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in
classical nonlinear lattices", New J. Phys., 15, 123004.
R.1455) Vermersch B.: 2013, "Dynamique d’un gaz de bosons ultra-froids dans un milieu désordonné: Effets des
interactions sur la localisation et sur la transition d’Anderson", Ph.D Thesis, Université Lille 1.
R.1456) Schwiete G. & Finkel’stein A.M.: 2013, "Kinetics of the disordered Bose gas with collisions", Phys. Rev. A,
88, 053611.
R.1457) Radosavljević A., Gligorić G., Maluckov A., Stepić M. & Milović D.: 2013, "Light propagation management
by disorder and nonlinearity in one-dimensional photonic lattices", J. Opt. Soc. Am. B, 30, 2340-2347.
R.1458) Piraud M., Pezzé L. & Sanchez-Palencia L.: 2013, "Quantum transport of atomic matterwaves in
anisotropictwo-dimensional and three-dimensional disorder", New Jour. Phys., 15, 075007.
R.1459) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,
Aristotle University of Thessaloniki, Thessaloniki, Greece.
R.1460) Zhang J., Zhang Z. & Tong P.: 2013, "Effects of delayed nonlinear response on wave packet dynamics in one-
dimensional generalized Fibonacci chains", Physica B, 421, 18-22.
R.1461) Segev M., Silberberg Y. & Christodoulides D.N.: 2013, "Anderson localization of light", Nature Photonics, 7,
March, 197-204.
R.1462) Naether U., Heinrich M., Lahini Y., Nolte S., Vicencio R.A., Molina M.I. & Szameit A.: 2013, "Self-trapping
threshold in disordered nonlinear photonic lattices", Optics Lett., 38, 1518-1520.
R.1463) Naether U., Rojas-Rojas S., Martínez A.J., Stützer S., Tünnermann A., Nolte S., Molina M.I., Vicencio R.A. &
Szameit A.: 2013, "Enchanced distribution of a wave-packet in lattices with disorder and nonlinearity", Optics
Express, 21, 927-934.
R.1464) Mulansky M. & Pikovsky A.: 2013, "Energy spreading in strongly nonlinear lattices", New J. Phys., 15,
053015.
R.1465) Vermersch B. & Garreau J.C.: 2013, "Spectral description of the dynamics of ultracold interacting bosons in
disordered lattices", New J. Phys., 15, 045030.
R.1466) Jian Y., Zhang A.-X., He C.-X., Qi X.-Y. & Xue J.-K.: 2013, "Dynamics of a nonlocal discrete Gross-
Pitaevskii equation with defects", Phys. Rev. E, 87, 053201.
R.1467) Iomin A.:2013, "Dynamics in Nonlinear Schrödinger Equation with dc bias: From Subdiffusion to Painlevé
Transcendent", Math. Model. Nat. Phenom., 88-99.
R.1468) Xu J., Zhang D.-W., Zhang X.-D. & Xue Z.-Y.: 2013, "Two parameters scaling approach to Anderson
localization of weekly interacting Bose-Einstein condensate", JETP Lett., 97, 239-244.
R.1469) Vermersch B. & Garreau J.C.: 2013, "Decoherence effects in the dynamics of interacting ultracold bosons in
disordered lattices", Eur. Phys. J. Special Top., 217, 109-119.
R.1470) Lucioni E., Tanzi L., D’Errico C., Moratti M., Inguscio M. & Modugno G.: 2013, "Modeling the transport of
interacting matter waves in a disordered system by a nonlinear diffusion equation", Phys. Rev. E, 87, 042922.
R.1471) Hennig D., Mulhern C. & Burbanks A.D.: 2013, "From strong chaos via weak chaos to regular behaviour:
Optimal interplay between chaos and order", Physica D, 253, 102-110.
R.1472) Golshani M., Bahrampour A.R., Langari A. & Szameit A.: 2013, "Transverse localization in nonlinear
photonic lattices with second-order coupling", Phys. Rev. A, 87, 033817.
R.1473) D’Errico C., Moratti M., Lucioni E., Tanzi L., Deissler B, Inguscio M., Modugno G, Plenio M.B. & and
Caruso F.: 2013, "Quantum diffusion with disorder, noise and interaction", New J. Phys., 15, 045007.
R.1474) de Moura F.A.B.F.: 2013, "Numerical evidence of electron–soliton dynamics in Fermi–Pasta–Ulam
disordered chains", Physica D, 253, 66-72.
R.1475) Milovanov A.V.: 2012, "Percolation models of self-organized critical phenomena",
https://arxiv.org/abs/1207.5389.
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R.1476) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-
Naturwissenschaftlichen Fakultät, Universität Potsdam.
R.1477) Bai X.-D. & Xue J.-K: 2012, "Discrete breather and its stability in a general discrete nonlinear Schrödinger
equation with disorder", Phys. Rev. E, 86, 066605.
R.1478) Conti C.: 2012, "Solitonization of the Anderson localization", Phys. Rev. A, 86, 061801.
R.1479) Mulansky M. & Pikovsky A.: 2012, "Scaling properties of energy spreading in nonlinear Hamiltonian two-
dimensional lattices", Phys. Rev. E, 86, 056214.
R.1480) Takahashi M., Katsura H., Kohmoto M. & Koma T.: 2012, "Multifractals competing with solitons on
Fibonacci optical lattices", New J. Phys., 14, 113012.
R.1481) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in
random potentials", Phys. Rev. E, 86, 053612.
R.1482) Michaely E. & Fishman S.: 2012, "Statistical properties of the one dimensional Anderson model relevant for
the Nonlinear Schrödinger Equation in a random potential", Eur. Phys. J. B., 85, 362.
R.1483) Milonavov A.V. & Iomin A.: 2012, "Localization-delocalization transition on a separatrix system of nonlinear
Schrödinger equation with disorder", EPL, 100, 10006.
R.1484) Basko D.M.: 2012, "Local nature and scaling of chaos in weakly nonlinear disordered chains", Phys. Rev. E,
86, 036202.
R.1485) Rechtsman M., Szameit A. & Segev M.: 2012, "Linear and nonlinear wave dynamics in amorphous photonic
lattices", in "Nonlinear Photonics and Novel Optical Phenomena", eds. Chen Z. & Morandotti R., Springer
Series in Optical Sciences, 170, 93-109.
R.1486) Shepelyansky D.L.: 2012, "Kolmogorov turbulence, Anderson localization and KAM integrability", Eur. Phys.
J. B., 85, 199.
R.1487) Roy S. & Pikovsky A.: 2012, "Spreading of energy in the Ding-Dong model", Chaos, 22, 026118.
R.1488) de Brito P.E. & Nazareno H.N.: 2012, "Study of diffusion of wave packets in a square lattice under external
fields along the discrete nonlinear Schrödinger equation", Physica B, 407, 3910-3915.
R.1489) Moratti M. & Modugno M.: 2012, "Localization of a non interacting quantum wave packet in one-dimensional
disordered potentials", Eur. Phys. J. D, 66, 138.
R.1490) Lyra M.L. & Lima R.P.A.: 2012, "Wavepacket spreading dynamics under a non-instantaneous nonlinearity:
Self-trapping, defocusing and focusing", Phys. Rev. E, 85, 057201.
R.1491) Michaely E. & Fishman S.: 2012, "Effective noise theory for the Nonlinear Schrödinger equation with
disorder", Phys. Rev. E, 85, 046218.
R.1492) Vermersch B. & Garreau J.C.: 2012, "Interacting ultracold bosons in disordered lattices: Sensitivity of the
dynamics to the initial state", Phys. Rev. E, 85, 046213.
R.1493) Tezuka M. & García-García A.M.: 2012, "Testing the universality of the many body metal-insulator transition
by time evolution of a disordered one-dimensional ultracold fermionic gas", Phys. Rev. E, 85, 013602.
R.1494) Mulansky M. & Pikovsky A.: 2012, "Re-localization due to finite response times in a nonlinear Anderson
chain", Eur. Phys. J. B, 85, 105.
R.1495) Molina M.I., Lazarides N. & Tsironis G.P.: 2012, "Optical surface modes in the presence of nonlinearity and
disorder", Phys. Rev. E, 85, 017601.
R.1496) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:
Results and puzzles", Nonlinearity, 25, R53-R72.
R.1497) Zhang Z.J., Li W.J. & Tong P.Q.: 2012, "Effects of delayed nonlinear response on wave packet dynamics in
one-dimensional disordered chains", Eur. Phys. J. B, 85, 98.
R.1498) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2012, "Self-trapping of interacting electrons in crystalline
nonlinear chains", Eur. Phys. J. B, 85, 7.
R.1499) Avelar A.T. & Cardoso W.B.: 2011, "Anderson localization in the quintic nonlinear Schrödinger equation",
https://arxiv.org/abs/1104.5434.
R.1500) Modugno G., D’Errico C., Deissler B., Lucioni E., Modugno M., Moratti M., Roati G., Tanzi L., Zaccanti M.
& Inguscio M.: 2011, "Exploring disorder physics with Bose-Einstein condensates", Proceedings of the 20th
International Conference on Laser pectroscopy, ICOLS 2011, 131-138.
R.1501) Zhang Z.-J., Yu M., Gong L.-Y. & Tong P.-Q.: 2011, "Wave packet dynamics of two extended Harper
models", Acta Phys. Sin. 60, 097104.
R.1502) Cheng Y. & Adhikari S. K.: 2011, "Matter-wave localization in a weakly perturbed optical lattice", Phys. Rev.
A, 84, 053634.
R.1503) Cazalilla M. A., Citro R., Giamarchi T., Orignac E. & Rigol M.: 2011, "One dimensional bosons: From
condensed matter systems to ultracold gases", Rev. Mod. Phys., 83, 1405.
R.1504) Rivkind A., Krivolapov Y., Fishman S. & Soffer A.: 2011, "Eigenvalue repulsion estimates and some
applications for the one-dimensional Anderson model", J. Phys. A, 44, 305206.
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R.1505) Nguyen B.P., Kim K., Rotermund F. & Lim H.: 2011, "Enhanced localization of waves in one-dimensional
random media due to nonlinearity: Fixed input case", Physica B, 406, 4535-4537.
R.1506) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2011, "Strong and weak chaos in weakly
nonintegrable many-body Hamiltonian systems", J. Stat. Phys., 145, 1256-1274.
R.1507) Lugan P. & Sanchez-Palencia L: 2011, "Localization of Bogoliubov quasiparticles in interacting Bose gases
with correlated disorder", Phys. Rev. E, 84, 013612.
R.1508) Cheng Y. & Adhikari S. K.: 2011, "Localization of a Bose-Fermi mixture in a bichromatic optical lattice",
Phys. Rev. A, 84, 023632.
R.1509) Cherroret N. & Wellens T.: 2011, "Fokker-Planck equation for transport of wave-packets in nonlinear
disordered media", Phys. Rev. A, 84, 021114.
R.1510) Antonopoulos C.G. & Christodoulidi H.: 2011, "Weak chaos detection in the Fermi-Pasta-Ulam-α system
using q-Gaussian statistics", Int. J. Bifurc. Chaos, 21, 2285-2296.
R.1511) Aubry S.: 2011, "KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model", Int. J.
Bifurc. Chaos, 21, 2125-2145.
R.1512) Antonopoulos Ch., Bountis T. C. & Basios V.: 2011, "Quasi-stationary chaotic states in multi-dimensional
Hamiltonian systems", Physica A, 390, 3290-3307.
R.1513) Piraud M., Lugan P., Bouyer P., Aspect A. & Sanchez-Palencia L.: 2011, "Localization of a matter wave
packet in a disordered potential", Phys. Rev. A, 83, 031603(R).
R.1514) Lucioni E., Deissler B., Tanzi L., Roati G., Modugno M., Zaccanti M., Inguscio M. & Modugno G.: 2011,
"Observation of subdiffusion of a disordered interacting system", Phys. Rev. Let., 106, 230403.
R.1515) Kevrekidis P.G.: 2011, "Nonlinear Waves in Lattices: Past, Present, Future", IMA J. Appl. Math., 76, 389-
423.
R.1516) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson
localization by Arnold diffusion", Annals Phys., 326, 1577-1655.
R.1517) Terao T.: 2011, "Localization-delocalization transition and subdiffusion of discrete nonlinear Schrödinger
equation in three dimensions", Phys. Rev. E, 83, 056611.
R.1518) Zhang Z., Tong P., Gong J. & Li B.: 2011, "Wave packet dynamics in one-dimensional linear and nonlinear
generalized Fibonacci lattices", Phys. Rev. E, 83, 056205.
R.1519) Březinová I., Collins L., Ludwig K., Schneider B. & Burgdörfer J.: 2011, "Wave chaos in the non-equilibrium
dynamics of the Gross-Pitaevskii equation", Phys. Rev. A, 83, 043611.
R.1520) Jović D. M., Kivshar Y. S., Denz C. & Belić M. R.: 2011, "Anderson localization of light near boundaries of
disordered photonic lattices", Phys. Rev. A, 83, 033813.
R.1521) Cheng Y. & Adhikari S. K.: 2011, "Localization of collisionally inhomogeneous condensates in a bichromatic
optical lattice ", Phys. Rev. A, 83, 023620.
R.1522) Mulansky M., Ahnert K. & Pikovsky A.: 2011, "Scaling of energy spreading in strongly nonlinear disordered
lattices", Phys. Rev. E, 83, 026205.
R.1523) Pikovsky A. & Fishman S.: 2011, "Scaling properties of weak chaos in nonlinear disordered lattices", Phys.
Rev. E, 83, 025201(R).
R.1524) de Moura F. A. B. F., Fulco U. L., Lyra M. L., Domínguez-Adamed F. & Albuquerque E. L.: 2011, "Electron
wave packet dynamics in twisted nonlinear ladders with correlated disorder", Physica A, 390, 535-540.
R.1525) Boreux J., Carletti T. & Hubaux C.: 2010, "High order explicit symplectic integrators for the Discrete Non
Linear Schrödinger equation", https://arxiv.org/abs/1012.3242.
R.1526) Yamada H. & Iguchi K.: 2010, "Some effective tight-binding models for electrons in DNA conduction: A
review", Adv. Cond. Matt. Phys., 2010, 380710.
R.1527) Larcher M., Modugno M. & Dalfovo F.: 2010, "Localization in momentum space of ultracold atoms in
incommensurate lattices", Phys. Rev. A, 83, 013624.
R.1528) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2010, "Effects of nonlinearity on wave-packet dynamics in
square and honeycomb lattices", Phys. Rev. E,.82, 233102.
R.1529) Lepri S., Schilling R. & Aubry S.: 2010, "Asymptotic energy profile of a wave packet in disordered chains",
Phys. Rev. E,.82, 056602.
R.1530) Muruganandam P., Kishor Kumar R. & Adhikari S. K.: 2010, "Localization of a dipolar Bose-Einstein
condensate in a bichromatic optical lattice", J. Phys. B: At. Mol. Opt. Phys., 43, 205305.
R.1531) Cheng Y. & Adhikari S. K.: 2010, "Spatially antisymmetric localization of matter wave in a bichromatic
optical lattice", Laser Phys. Lett., 7, 824-830.
R.1532) Modugno G.: 2010, "Anderson localization in Bose-Einstein condensates", Rep. Prog. Phys., 73, 102401.
R.1533) Johansson M., Kopidakis G. & Aubry S.: 2010, "KAM tori in 1D random discrete nonlinear Schrödinger
model?", EPL, 91, 50001.
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in periodic chains with a finite nonlinear response time", Phys. Let. A, 374, 4152-4155.
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R.1535) Bodyfelt J. D., Kottos T. & Shapiro B.: 2010, "One parameter scaling theory for stationary states of
disordered nonlinear systems", Phys. Rev. Let., 104, 164102.
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013631.
R.1537) Krivolapov Y., Fishman S. & Soffer A.: 2010, "A numerical and symbolical approximation of the nonlinear
Anderson model", New J. Phys., 12, 063035.
R.1538) Zhu H.-J. & Xiong S.-J.: 2010, "Dynamics of electron wave packet in a disordered chain with delayed
nonlinear response", Physica B, 405, 2615-2619.
R.1539) Mulansky M. & Pikovsky A.: 2010, "Spreading in disordered lattices with different nonlinearities", EPL, 90,
10015.
R.1540) Adhikari S. K.: 2010, "Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice",
Phys. Rev. E,.81, 043636.
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chromatic optical lattice", Phys. Rev. E,.81, 023620.
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017601.
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with a random potential", Phys. Rev. E,.81, 017201.
R.1544) Henseler P.: 2009, "Interplay of Anderson Localization and Strong Interactions in Disordered Systems", Ph.D
Thesis, Mathematisch-Naturwissenschaftlichen Fakultät, Rheinischen Friedrich-Wilhelms-Universität, Bonn.
R.1545) dos Santos I. F.: 2009, "Transporte em Baixa Dimensionalidade na presença de Não-Linearidade e
Desordem", Ph.D Thesis, Instituto de Física da Universidade Federal de Alagoas, Maceió (in Portuguese).
R.1546) Veksler H.: 2009, "Localization of the generalized non-linear Schrödinger equation in a random potential",
M.Sc. Thesis, Technion – Israel Institute of Technology.
R.1547) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2009, "Dynamical thermalization of disordered
nonlinear lattices", Phys. Rev. E, 80, 056212.
R.1548) Fishman S., Krivolapov Y. & Soffer A.: 2009, "Perturbation theory for the nonlinear Schrödinger equation
with a random potential", Nonlinearity, 22, 2861-2887.
R.1549) Manski K. & Henning D.: 2009, "Escape dynamics of coupled particles in nonlinear, disordered lattices",
Phys. Rev. E, 80, 051109.
R.1550) Larcher M., Dalfovo F. & Modugno M.: 2009, "Effects of interaction on the diffusion of atomic matter waves
in one-dimensional quasi-periodic potentials", Phys. Rev. A, 80, 053606.
R.1551) García-Mata I. & Shepelyansky D. L.: 2009, "Nonlinear delocalization on disordered Stark ladder", Eur. Phys.
J. B, 71, 121-124.
R.1552) Cherroret N.: 2009, "Transport cohérent en milieu aléatoire: des corrélations mésoscopiques à la localisation
d’Anderson", Ph.D. Thesis, L’ Université Joseph Fourier – Grenoble I.
R.1553) Iomin A.: 2009, "Dynamics of wave packets for the nonlinear Schrödinger equation with a random potential",
Phys. Rev. E, 80, 037601.
R.1554) Adhikari S. K. & Salasnich L.:2009, "Localization of a Bose-Einstein condensate in a bichromatic optical
lattice", Phys. Rev. A, 80, 023606.
R.1555) Veksler H., Krivolapov Y. & Fishman S.: 2009, "Spreading for the generalized nonlinear Schrödinger
equation with disorder", Phys. Rev. E, 80, 037201.
R.1556) Lahini Y., Pugatch R., Pozzi F., Sorel M., Morandotti R., Davidson N. & Silberberg Y.: 2009, "Observation of
a Localization Transition in Quasiperiodic Photonic Lattices", Phys. Rev. Let., 103, 013901.
R.1557) Joshi C. & Ghosh S.: 2009, "Density, phase and coherence properties of a low dimensional Bose-Einstein
systems moving in a disordered potential", Eur. Phys. J. B, 68, 467-477.
R.1558) Efremidis N. K.: 2009, "Bifurcations of nonlinear localized modes in disordered lattices", Phys. Rev. A, 79,
063831.
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Delayed Electronic Nonlinear Response", Phys. Rev. Let., 103, 096401.
R.1560) Cherroret N. & Skipetrov S. E.: 2009, "Effect of interactions on the diffusive expansion of a Bose-Einstein
condensate in a three-dimensional random potential", Phys. Rev. A, 79, 063604.
R.1561) Amir A., Lahini Y. & Perets H. B.: 2009, "Classical Diffusion of a quantum particle in a noisy environment",
Phys. Rev. E, 79, 050105.
R.1562) Mulansky M.: 2009, "Localization properties of nonlinear disordered lattices", DiplomaThesis, Universität
Potsdam.
R.1563) Johansson M., Kopidakis G., Lepri S. & Aubry S.: 2009, "Transmission thresholds in time-periodically driven
nonlinear disordered systems", EPL, 86, 10009.
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R.1564) Ivanchenko M. V.: 2009, "q-Breathers in finite lattices: nonlinearity and weak disorder", Phys. Rev. Let., 102,
175507.
R.1565) García-Mata I. & Shepelyansky D. L.: 2009, "Delocalization induced by nonlinearity in systems with
disorder", Phys. Rev. E, 79, 026205.
R.1566) Ivanchenko M. V.: 2009, "q-Breathers in discrete nonlinear Schrödinger arrays with weak disorder", J.
Experim. Theor. Phys. Let., 89, 170-175.
To paper P.27: Skokos Ch., Krimer D. O., Komineas S. & Flach S.: 2009, "Delocalization of wave packets in
disordered nonlinear chains", Phys. Rev. E, 79, 056211 (Erratum: Phys. Rev. E., 89, 029907).
R.1567) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2019, "Transport in a classical disordered
nonlinear system: signatures of many-body localization", cond-mat.stat-mech/1911.03753.
R.1568) Pouyandeh S. & Olyaei H.Z.: 2019, "Quantum transport through a coupled non-linear exciton-phonon
system", cond-mat.mes-hall/1902.05060.
R.1569) Janarek J., Delande D., Cherroret N. & Zakrzewski J.: 2020, "Quantum boomerang effect for interacting
particles", Phys. Rev. A, 102, 0133303.
R.1570) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301.
R.1571) Charalambous C., García-March M.Á, Muñoz-Gil G., Grzybowski P.R. & Lewenstein M.: 2020, "Control of
anomalous diffusion of a Bose polaron", Quantum, 4, 232.
R.1572) Charalambous C.: 2020, "Quantum Brownian Motion in Bose-Einstein Condensates", Ph.D. Thesis,
Universitat Politecnica de Catalunya.
R.1573) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1574) Sun Z.-Y. & Yu X.: 2019, "Transient diffusion and two-regime localization of discrete breatherlike excitations
in nonlinear Schrödinger lattice with disorder", Phys. Rev. E, 100, 022202.
R.1575) Nazarenko S., Soffer A. & Tran M.-B.: 2019, "On the Wave Turbulence Theory for the Nonlinear Schrödinger
Equation with Random Potentials", Entropy, 21, 823.
R.1576) Milovanov A.V. & Iomin A.: 2019, "Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with
algebraic power nonlinearity", Phys. Rev. E, 99, 052223.
R.1577) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet
dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.
R.1578) Mančić A., Baronio F., Hadžievski L., Wabnitz S. & Maluckov A.: 2018, "Statistics of vector Manakov rogue
waves", Phys. Rev. E, 98, 012209.
R.1579) Farzadian O. & Niry M.D.: 2018, "Role of short-range correlation in facilitation of wave propagation in a
long-range ladder chain", Phys. A, 505, 49-60.
R.1580) Li L., Wang B., Lü X.-Y. & Wu Y.: 2018, "Chaos-related Localization in Modulated Lattice Array", 530,
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R.1581) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2018, "Effects of Anomalous Velocity in Spin-orbit Coupled
Systems" in "Spin Orbitronics and Topological Properties of Nanostructures.Lecture Notes of the 12th
International School on Theoretical Physics", World Scientific, 178-199.
R.1582) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1583) Modugno M., Sherman E.Ya. & Konotop V.V.: 2017, "Macroscopic random Paschen-Back effect in ultracold
atomic gases", Phys. Rev. A, 95, 063620.
R.1584) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, "Sub-diffusive spreading
and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270,
6-11.
R.1585) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial
Distributions of Nonlinearity", APETC 2017, 1354-1361.
R.1586) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder",
Comput. Math. Applic., 73, 914-930.
R.1587) dos Santos J.L.L., Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2017, "Dynamics of interacting
electrons under effect of a Morse potential", Phys. Rev. E, 95, 052217.
R.1588) Milovanov A.V. & Iomin A.: 2017, "Destruction of Anderson localization in quantum nonlinear Schrödinger
lattices", Phys. Rev. E, 95, 042142.
R.1589) Astakhova T.Yu., Kashin V.A. & Vinogradov G.A.: 2017, "Charge Transfer and Anderson Localization in
One-Dimensional Finite-Size Disordered Systems", Russ. J. Phys. Chem., 11, 481-491.
R.1590) Wang L., Li N. & Hänggi P.: 2016, "Simulation of heat transport in low-dimensional oscillator lattices", Lect.
Notes Phys., 921, 239-274.
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R.1591) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse
interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14.
R.1592) Iomin A.: 2016, "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder",
Chaos Solit. Fract., 93, 64-70.
R.1593) Cardoso W.B., Leão S.A. & Avelar A.T.: 2016, "Anderson localization in the quintic nonlinear Schrödinger
equation", Opt. Quant. Electron, 48, 388.
R.1594) Bai X.-D., Malomed B.A. & Deng F.-G.: 2016, "Unidirectional transport of wave packets through tilted
discrete breathers in nonlinear lattices with asymmetric defects", Phys. Rev. E, 94, 032216.
R.1595) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive
processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1596) Gao Z., Li N. & Li B.: 2016, " Stretch diffusion and heat conduction in one-dimensional nonlinear lattices",
Phys. Rev. E, 93, 032130.
R.1597) Martínez A.J., Kevrekidis P.G. & Porter M.A.: 2016, "Superdiffusive Transport and Energy Localization in
Disordered Granular Crystals", Phys. Rev. E, 93, 022902.
R.1598) Gao Z., Li N. & Li B.: 2016, "Heat conduction and energy diffusion in momentum-conserving one-
dimensional full-lattice ding-a-ling model", Phys. Rev. E, 93, 022102.
R.1599) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2015, "Dynamics of Spin-Orbit Coupled Bose-Einstein
Condensates in a Random Potential", Phys. Rev. Lett., 115, 180402.
R.1600) Silva A.F.G., Lima R.P.A., Chaves Filho V.L., de Moura F.A.B.F. & Lyra M.L. : 2016, "Sensitivity to initial
conditions of the self-trapping transition in C60 buckyballs with relaxing nonlinearity", Commun. Nonlinear Sci.
Simulat., 30, 101-107.
R.1601) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian
National University, Canberra, Australia.
R.1602) Naether U., Mejía-Cortés C. & Vicencio R.A.: 2015, " Pseudo-two-dimensional random dimer lattices",Phys.
Lett. A, 379, 988.
R.1603) Li Y., Liu S., Li N., Hänggi P. & Li B.: 2015, "1D momentum-conserving systems: the conundrum of
anomalous versus normal heat transport", New J. Phys., 17, 043064.
R.1604) Li Y., Li N. & Li B.: 2015, "Temperature dependence of thermal conductivities of coupled rotator lattice and
the momentum diffusion in standard map", Eur. Phys. J. B, 88, 182.
R.1605) Chaves Filho V.L., Lima R.P.A. & Lyra M.L. : 2015, "Interplay between modulational instability and self-
trapping of wavepackets in nonlinear discrete lattices", Chaos, 25, 063101.
R.1606) Sales M.O. & de Moura F.A.B.F.: 2014, "Electron–soliton dynamics in chains with cubic nonlinearity", J.
Phys.: Condens. Matter, 26, 415401.
R.1607) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked
rotator at different effective dimensions", J. Phys. A, 47, 335101.
R.1608) d'Errico C., Chaudhuri S., Gori L., Kumar A., Lucioni E., Tanzi L., Inguscio M. & Modugno G.: 2014,
"Transport of an interacting Bose gas in 1D disordered lattices", AIP Conf. Proc., 1610, 24-33.
R.1609) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys.
Rev. E, 89, 062921.
R.1610) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices:
Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361.
R.1611) Li Y., Zhou J., Marchesoni F. & Li B.: 2014, "Wave-packet rectification in nonlinear electronic systems: A
tunable Aharonov-Bohm diode", Sci. Rep., 4, 4566.
R.1612) Fleishon G., Fishman S. & Soffer A.: 2014, "High order perturbation theory for Nonlinear Anderson Model",
Eur. Phys. J. B, 87, 35.
R.1613) Albuquerque E.L., Fulco U.L., Freire V.N., Caetano E.W.S., Lyra M.L. & Moura F.A.B.F.: 2014, "DNA-based
nanobiostructured devices: The role of the quasiperiodicity and correlation effects", Phys. Rep., 535, 139-209.
R.1614) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.
R.1615) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in
classical nonlinear lattices", New J. Phys., 15, 123004.
R.1616) Radosavljević A., Gligorić G., Maluckov A., Stepić M. & Milović D.: 2013, "Light propagation management
by disorder and nonlinearity in one-dimensional photonic lattices", J. Opt. Soc. Am. B, 30, 2340-2347.
R.1617) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,
Aristotle University of Thessaloniki, Thessaloniki, Greece.
R.1618) Biswas A., Adhikari S., Choudhary K, Basu R., Bandyopadhyay A.K., Bhattacharjee A.K. & Mandal D.: 2013,
"Quantum breathers in lithium tantalate ferroelectrics", Appl. Nanosci., 3, 343-355.
R.1619) Zhang J., Zhang Z. & Tong P.: 2013, "Effects of delayed nonlinear response on wave packet dynamics in one-
dimensional generalized Fibonacci chains", Physica B, 421, 18-22.
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R.1620) Mulansky M. & Pikovsky A.: 2013, "Energy spreading in strongly nonlinear lattices", New J. Phys., 15,
053015.
R.1621) Lucioni E., Tanzi L., D’Errico C., Moratti M., Inguscio M. & Modugno G.: 2013, "Modeling the transport of
interacting matter waves in a disordered system by a nonlinear diffusion equation", Phys. Rev. E, 87, 042922.
R.1622) de Moura F.A.B.F.: 2013, "Numerical evidence of electron–soliton dynamics in Fermi–Pasta–Ulam
disordered chains", Physica D, 253, 66-72.
R.1623) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-
Naturwissenschaftlichen Fakultät, Universität Potsdam.
R.1624) Takahashi M., Katsura H., Kohmoto M. & Koma T.: 2012, "Multifractals competing with solitons on
Fibonacci optical lattices", New J. Phys., 14, 113012.
R.1625) Michaely E. & Fishman S.: 2012, "Statistical properties of the one dimensional Anderson model relevant for
the Nonlinear Schrödinger Equation in a random potential", Eur. Phys. J. B., 85, 362.
R.1626) Roy S. & Pikovsky A.: 2012, "Spreading of energy in the Ding-Dong model", Chaos, 22, 026118.
R.1627) Mandal B., Adhikari S., Basu R., Choudhary K, Mandal S. J., Biswas A., Bandyopadhyay A.K., Bhattacharjee
A.K. & Mandal D.: 2012, "Role of coupling of discrete breathers in split-ring-resonator-based metamaterials",
Phys. Scr., 86, 015601.
R.1628) Moratti M. & Modugno M.: 2012, "Localization of a non interacting quantum wave packet in one-dimensional
disordered potentials", Eur. Phys. J. D, 66, 138.
R.1629) Lyra M.L. & Lima R.P.A.: 2012, "Wavepacket spreading dynamics under a non-instantaneous nonlinearity:
Self-trapping, defocusing and focusing", Phys. Rev. E, 85, 057201.
R.1630) Michaely E. & Fishman S.: 2012, "Effective noise theory for the Nonlinear Schrödinger equation with
disorder", Phys. Rev. E, 85, 046218.
R.1631) Manjunath M., Awasthi A.P. & Geubelle P.H.: "Wave propagation in random granular chains", Phys. Rev. E,
85, 031308.
R.1632) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:
Results and puzzles", Nonlinearity, 25, R53-R72.
R.1633) Zhang Z.J., Li W.J. & Tong P.Q.: 2012, "Effects of delayed nonlinear response on wave packet dynamics in
one-dimensional disordered chains", Eur. Phys. J. B, 85, 98.
R.1634) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2012, "Self-trapping of interacting electrons in crystalline
nonlinear chains", Eur. Phys. J. B, 85, 7.
R.1635) Avelar A.T. & Cardoso W.B.: 2011, "Anderson localization in the quintic nonlinear Schrödinger equation",
https://arxiv.org/abs/1104.5434.
R.1636) Mandal S.J., Choudhary K., Biswas A., Bandyopadhyay A.K., Bhattacharjee A.K. & Mandal D.: 2011,
"Quantum breathers in Klein-Gordon lattice: Non-periodic boundary condition approach", J. Appl. Phys. 110,
124106.
R.1637) Cheng Y. & Adhikari S. K.: 2011, "Matter-wave localization in a weakly perturbed optical lattice", Phys. Rev.
A, 84, 053634.
R.1638) Rivkind A., Krivolapov Y., Fishman S. & Soffer A.: 2011, "Eigenvalue repulsion estimates and some
applications for the one-dimensional Anderson model", J. Phys. A, 44, 305206.
R.1639) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2011, "Strong and weak chaos in weakly
nonintegrable many-body Hamiltonian systems", J. Stat. Phys., 145, 1256-1274.
R.1640) Cheng Y. & Adhikari S. K.: 2011, "Localization of a Bose-Fermi mixture in a bichromatic optical lattice",
Phys. Rev. A, 84, 023632.
R.1641) Antonopoulos C.G. & Christodoulidi H.: 2011, "Weak chaos detection in the Fermi-Pasta-Ulam-α system
using q-Gaussian statistics", Int. J. Bifurc. Chaos, 21, 2285-2296.
R.1642) Aubry S.: 2011, "KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model", Int. J.
Bifurc. Chaos, 21, 2125-2145.
R.1643) Antonopoulos Ch., Bountis T. C. & Basios V.: 2011, "Quasi-stationary chaotic states in multi-dimensional
Hamiltonian systems", Physica A, 390, 3290-3307.
R.1644) Lucioni E., Deissler B., Tanzi L., Roati G., Modugno M., Zaccanti M., Inguscio M. & Modugno G.: 2011,
"Observation of subdiffusion of a disordered interacting system", Phys. Rev. Let., 106, 230403.
R.1645) Kevrekidis P.G.: 2011, "Nonlinear Waves in Lattices: Past, Present, Future", IMA J. Appl. Math., 76, 389-
423.
R.1646) Nagy S. & Sailer K.: 2011, "Functional renormalization group for quantized anharmonic oscillator", Annals
Phys., 326, 1839-1876.
R.1647) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson
localization by Arnold diffusion", Annals Phys., 326, 1577-1655.
R.1648) Terao T.: 2011, "Localization-delocalization transition and subdiffusion of discrete nonlinear Schrödinger
equation in three dimensions", Phys. Rev. E, 83, 056611.
Ch. Skokos 31/07/20 63
R.1649) Zhang Z., Tong P., Gong J. & Li B.: 2011, "Wave packet dynamics in one-dimensional linear and nonlinear
generalized Fibonacci lattices", Phys. Rev. E, 83, 056205.
R.1650) de Moura F. A. B. F., Leão F. F. S. & Lyra M. L.: 2011, "Resonant states and wavepacket super-diffusion in
intra-chain correlated ladders with diluted disorder", J. Phys.: Condens. Matter, 23 135303.
R.1651) Cheng Y. & Adhikari S. K.: 2011, "Localization of collisionally inhomogeneous condensates in a bichromatic
optical lattice ", Phys. Rev. A, 83, 023620.
R.1652) de Moura F. A. B. F., Fulco U. L., Lyra M. L., Domínguez-Adamed F. & Albuquerque E. L.: 2011, "Electron
wave packet dynamics in twisted nonlinear ladders with correlated disorder", Physica A, 390, 535-540.
R.1653) Boreux J., Carletti T. & Hubaux C.: 2010, "High order explicit symplectic integrators for the Discrete Non
Linear Schrödinger equation", https://arxiv.org/abs/1012.3242.
R.1654) Larcher M., Modugno M. & Dalfovo F.: 2010, "Localization in momentum space of ultracold atoms in
incommensurate lattices", Phys. Rev. A, 83, 013624.
R.1655) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2010, "Effects of nonlinearity on wave-packet dynamics in
square and honeycomb lattices", Phys. Rev. E,.82, 233102.
R.1656) Cheng Y. & Adhikari S. K.: 2010, "Spatially antisymmetric localization of matter wave in a bichromatic
optical lattice", Laser Phys. Lett., 7, 824-830.
R.1657) Spencer T.: 2010, "Mathematical aspects of Anderson localization", Int. J. Mod. Phys. B, 24, 1621-1639.
R.1658) Johansson M., Kopidakis G. & Aubry S.: 2010, "KAM tori in 1D random discrete nonlinear Schrödinger
model?", EPL, 91, 50001.
R.1659) de Moura F. A. B. F., Vidal E. J. G. G., Gléria I. & Lyra M. L.: 2010, "Electron self-trapping and self-focusing
in periodic chains with a finite nonlinear response time", Phys. Let. A, 374, 4152-4155.
R.1660) Ponson L., Boechler N., Lai Y. M., Porter M. A., Kevrekidis P. G. & Daraio C.: 2010, "Nonlinear waves in
disordered diatomic granular chains ", Phys. Rev. E,.82, 021301.
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013631.
R.1662) Krivolapov Y., Fishman S. & Soffer A.: 2010, "A numerical and symbolical approximation of the nonlinear
Anderson model", New J. Phys., 12, 063035.
R.1663) Zhu H.-J. & Xiong S.-J.: 2010, "Dynamics of electron wave packet in a disordered chain with delayed
nonlinear response", Physica B, 405, 2615-2619.
R.1664) Adhikari S. K.: 2010, "Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice",
Phys. Rev. E,.81, 043636.
R.1665) Cheng Y. & Adhikari S. K.: 2010, "Symmetry breaking in a localized interacting binary BEC in a bi-
chromatic optical lattice", Phys. Rev. E,.81, 023620.
R.1666) Iomin A.: 2010, "Subdiffusion in the nonlinear Schrödinger Equation with Disorder", Phys. Rev. E,.81,
017601.
R.1667) Veksler H., Krivolapov Y. & Fishman S.: 2010, "Double humped states in the nonlinear Schrödinger equation
with a random potential", Phys. Rev. E,.81, 017201.
R.1668) dos Santos I. F.: 2009, "Transporte em Baixa Dimensionalidade na presença de Não-Linearidade e
Desordem", Ph.D Thesis, Instituto de Física da Universidade Federal de Alagoas, Maceió (in Portuguese).
R.1669) Veksler H.: 2009, "Localization of the generalized non-linear Schrödinger equation in a random potential",
M.Sc. Thesis, Technion – Israel Institute of Technology.
R.1670) Fishman S., Krivolapov Y. & Soffer A.: 2009, "Perturbation theory for the nonlinear Schrödinger equation
with a random potential", Nonlinearity, 22, 2861-2887.
R.1671) Larcher M., Dalfovo F. & Modugno M.: 2009, "Effects of interaction on the diffusion of atomic matter waves
in one-dimensional quasi-periodic potentials", Phys. Rev. A, 80, 053606.
R.1672) Iomin A.: 2009, "Dynamics of wave packets for the nonlinear Schrödinger equation with a random potential",
Phys. Rev. E, 80, 037601.
R.1673) Veksler H., Krivolapov Y. & Fishman S.: 2009, "Spreading for the generalized nonlinear Schrödinger
equation with disorder", Phys. Rev. E, 80, 037201.
R.1674) de Moura F. A. B. F., Gléria I., dos Santos I. F. & Lyra M. L.: 2009, "Wave-Packet Dynamics in Chains with
Delayed Electronic Nonlinear Response", Phys. Rev. Let., 103, 096401.
To paper P.28: Skokos Ch. & Flach S.: 2010, "Spreading of wave packets in disordered systems with tunable
nonlinearity", Phys. Rev. E, 82, 016208.
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interaction effect on transport of Bose–Einstein condensates in lattice with local defects", Chin. Phys. B, 28,
010307.
R.1676) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial
Distributions of Nonlinearity", APETC 2017, 1354-1361.
Ch. Skokos 31/07/20 64
R.1677) Zhu K.-Q., Yu Z.-F. & Xue J.-K.: 2017, "Transport of spin-orbit coupled Bose–Einstein condensates in lattice
with defects", Phys. Lett. A, 381, 2272-2277.
R.1678) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder",
Comput. Math. Applic., 73, 914-930.
R.1679) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading
via self-interaction time modulation", Phys. Rev. A, 94, 053631.
R.1680) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse
interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14.
R.1681) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive
processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1682) Nguyen B.P., Ngo Q.M. & Kim K.: 2016, " Transient Super-ballistic Spreading of Wave Packets with Large
Spreading Exponents in Some Hybrid Ordered-quasiperiodic Lattices", J Korean Phys. Soc., 68, 387-392.
R.1683) Milovanov A.V. & Iomin A.: 2015, "Topology of Delocalization in the Nonlinear Anderson Model and
Anomalous Diffusion on Finite Clusters", Discont. Nonlin. Complex., 4, 151-162.
R.1684) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials",
Chin. Phs. Lett., 32, 120302.
R.1685) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked
rotator at different effective dimensions", J. Phys. A, 47, 335101.
R.1686) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys.
Rev. E, 89, 062921.
R.1687) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain
in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921.
R.1688) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in
classical nonlinear lattices", New J. Phys., 15, 123004.
R.1689) Mulansky M. & Pikovsky A.: 2013, "Energy spreading in strongly nonlinear lattices", New J. Phys., 15,
053015.
R.1690) Jian Y., Zhang A.-X., He C.-X., Qi X.-Y. & Xue J.-K.: 2013, "Dynamics of a nonlocal discrete Gross-
Pitaevskii equation with defects", Phys. Rev. E, 87, 053201.
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localization of weekly interacting Bose-Einstein condensate", JETP Lett., 97, 239-244.
R.1692) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-
Naturwissenschaftlichen Fakultät, Universität Potsdam.
R.1693) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in
random potentials", Phys. Rev. E, 86, 053612.
R.1694) Roy S. & Pikovsky A.: 2012, "Spreading of energy in the Ding-Dong model", Chaos, 22, 026118.
R.1695) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:
Results and puzzles", Nonlinearity, 25, R53-R72.
R.1696) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2011, "Strong and weak chaos in weakly
nonintegrable many-body Hamiltonian systems", J. Stat. Phys., 145, 1256-1274.
R.1697) Cherroret N. & Wellens T.: 2011, "Fokker-Planck equation for transport of wave-packets in nonlinear
disordered media", Phys. Rev. A, 84, 021114.
R.1698) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson
localization by Arnold diffusion", Annals Phys., 326, 1577-1655.
R.1699) Zhang Z., Tong P., Gong J. & Li B.: 2011, "Wave packet dynamics in one-dimensional linear and nonlinear
generalized Fibonacci lattices", Phys. Rev. E, 83, 056205.
R.1700) Mulansky M., Ahnert K. & Pikovsky A.: 2011, "Scaling of energy spreading in strongly nonlinear disordered
lattices", Phys. Rev. E, 83, 026205.
R.1701) Mulansky M. & Pikovsky A.: 2010, "Spreading in disordered lattices with different nonlinearities", EPL, 90,
10015.
To paper P.29: Laptyeva T. V., Bodyfelt J. D., Krimer D. O., Skokos Ch. & Flach S.: 2010, "The crossover from
strong to weak chaos for nonlinear waves in disordered systems", Europhysics Letters, 91, 30001.
R.1702) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2019, "Transport in a classical disordered
nonlinear system: signatures of many-body localization", cond-mat.stat-mech/1911.03753.
R.1703) Pouyandeh S. & Olyaei H.Z.: 2019, "Quantum transport through a coupled non-linear exciton-phonon
system", cond-mat.mes-hall/1902.05060.
R.1704) Vermersch B., Delande D. & Garreau J.C.: 2020, "Bogoliubov excitations in the quasiperiodic kicked rotor:
Stability of a kicked condensate and the quasi–insulator-to-metal transition", Phys. Rev. A, 101, 053625.
Ch. Skokos 31/07/20 65
R.1705) Lellouch S., Rançon A., De Bièvre S., Delande D. & Garreau J.C.: 2020, "Dynamics of the mean-field-
interacting quantum kicked rotor", Phys. Rev. A, 101, 043624.
R.1706) Charalambous C., García-March M.Á, Muñoz-Gil G., Grzybowski P.R. & Lewenstein M.: 2020, "Control of
anomalous diffusion of a Bose polaron", Quantum, 4, 232.
R.1707) Charalambous C.: 2020, "Quantum Brownian Motion in Bose-Einstein Condensates", Ph.D. Thesis,
Universitat Politecnica de Catalunya.
R.1708) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet
dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.
R.1709) Gu H., Zhang H., Lin J., Shao Q., Young D.P., Sun L., Shen T.D. & Zhanhu Guo Z.: 2018, "Large negative
giant magnetoresistance at room temperature and electrical transport in cobalt ferrite-polyaniline
nanocomposites", Polymer, 143, 324-330.
R.1710) Martínez A.J., Porter M.A. & Kevrekidis P.G.: 2018, "Quasiperiodic granular chains and Hofstadter
butterflies", Phil. Trans. R. Soc. A, 376, 20170139.
R.1711) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1712) Schmidtke D., Steinigeweg R., Herbrych J. & Gemmer J.: 2017, "Interaction-Induced Weakening of
Localization in Few-Particle Disordered Heisenberg Chains", Phys. Rev. E, 95, 134201.
R.1713) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
and Applied Mathematics, University of Cape Town.
R.1714) Donsa S., Hofstätter H., Koch O., Burgdörfer J. & Březinová I.: 2017, "Long-time expansion of a Bose-
Einstein condensate: Observability of Anderson localization", Phys. Rev. A, 96, 043630.
R.1715) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, " Sub-diffusive spreading
and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270,
6-11.
R.1716) Schmidtke D., Steinigeweg R., Herbrych J. & Gemmer J.: 2017, "Interaction-induced weakening of
localization in few-particle disordered Heisenberg chains", Phys. Rev. E, 95, 134201.
R.1717) Cherroret N.: 2017, "A self-consistent theory of localization in nonlinear random media", J. Phys. Condens.
Matter, 29, 024002.
R.1718) Zhen H.-L., Tian B., Xie X.-Y., Wu X.-Y. & Wen X.-Y.: 2016, "Solitonic and chaotic behaviors for the
nonlinear dust-acoustic waves in a magnetized dusty plasma", Phys. Plasma, 23, 052301.
R.1719) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive
processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1720) Martínez A.J., Kevrekidis P.G. & Porter M.A.: 2016, "Superdiffusive Transport and Energy Localization in
Disordered Granular Crystals", Phys. Rev. E, 93, 022902.
R.1721) Zhen H.-L., Tian B., Xie X.-Y. & Liu L.: 2016, "Optical-soliton and chaotic motions in a nonlocal nonlinear
medium", J. Mod. Opt., 63, 902-912.
R.1722) Zhen H.-L., Tian B., Sun Y. & Chai J.: 2016, "Soliton solutions and chaotic motions for the (2 + 1)-
dimensional Zakharov equations in a laser-induced plasma", Comput. Math. Appl., 71, 1337-1348.
R.1723) Tsironis G.P., Lazarides N., Maluckov A. & Hadžievski Lj.: 2015, "Extreme Events in Nonlinear Lattices",
Chapter 3 in "Chaos, Information Processing and Paradoxical Games The Legacy of John S Nicolis", eds.
Nicolis G. & Basios V., World Scientific.
R.1724) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2015, "Dynamic behavior of the (3+1)-dimensional generalized
Johnson model in a dusty plasma", J. Plasma Physics, 81, 905810113.
R.1725) Zhen H.-L., Tian B., Sun Y., Chai J. & Wen X.-Y.: 2015, "Solitons and chaos of the Klein-Gordon-Zakharov
system in a high-frequency plasma", Phys. Plasma, 22, 102304.
R.1726) Zhen H.-L., Tian B., Liu D.-Y., Liu L. & Jiang Y.: 2015, "Soliton-like solutions and chaotic motions for a
forced and damped Zakharov-Kuznetsov equation in a magnetized electron-positron-ion plasma", J. Plasma
Phys., 81, 905810515.
R.1727) Zhen H.-L., Tian B., Xie X.-Y. & Sun Y.: 2015, "Dynamic behavior of the incoherent optical spatial solitons
in a nonlocal nonlinear medium", J. Mod. Opt., 62, 793-800.
R.1728) Zhen H.-L., Tian B., Wang Y.-F. & Liu D.-Y.: 2015, "Soliton solutions and chaotic motions of the Zakharov
equations for the Langmuir wave in the plasma", Phys. Plasma, 22, 032307.
R.1729) Zhen H.-L., Tian B., Xie X.-Y. & Chai J: 2015, "Solitonic and chaotic behaviors of a (3+1)-dimensional
nonlinear Schrödinger equation in a magnetized electron-positron-ion plasma", Astrophys. Space Sci., 357, 83.
R.1730) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials",
Chin. Phs. Lett., 32, 120302.
R.1731) Vermersch B., Delande D. & Garreau J.C.: 2014, "Anderson transition of Bogoliubov quasiparticles in the
quasiperiodic kicked rotor", https://arxiv.org/abs/1410.2587.
Ch. Skokos 31/07/20 66
R.1732) Zhen H.-L., Tian B., Zhong H. & Jiang Y.: 2014, "Dynamic behaviors and soliton solutions of the modified
Zakharov–Kuznetsov equation in the electrical transmission line", Comp. Math. Applic., 68, 579-588.
R.1733) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.
R.1734) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked
rotator at different effective dimensions", J. Phys. A, 47, 335101.
R.1735) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2014, "Soliton solutions and chaotic motion of the extended
Zakharov-Kuznetsov equations in a magnetized two-ion-temperature dusty plasma", Phys. Plasmas, 21, 073709.
R.1736) Radosavljević A., Gligorić G., Maluckov A. & Stepić M.: 2014, "Control of light propagation in one-
dimensional quasi-periodic nonlinear photonic lattices", J. Opt., 16, 025201.
R.1737) Mulansky M.: 2014, "Scaling of Chaos in Strongly Nonlinear Lattices", Chaos, 24, 024401.
R.1738) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain
in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921.
R.1739) Březinová I., Burgdörfer J., Lode A.U.J., Streltson A.I., Cederbaum L.S., Alon O.E, Collins L.A. & Schneider
B.I.: 2014, "Elastic scattering of a Bose-Einstein condensate at a potential landscape", J. Phys.: Conf. Ser.,
488, 012032.
R.1740) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in
classical nonlinear lattices", New J. Phys., 15, 123004.
R.1741) Zhen H.-L., Tian B., Sun W.-R. & Li M.: 2013, "Dynamics of the Zakharov-Kuznetsov-Burgers equations in
dusty plasmas", Phys. Plasmas, 20, 082311.
R.1742) Vermersch B.: 2013, "Dynamique d’un gaz de bosons ultra-froids dans un milieu désordonné: Effets des
interactions sur la localisation et sur la transition d’Anderson", Ph.D Thesis, Université Lille 1.
R.1743) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,
Aristotle University of Thessaloniki, Thessaloniki, Greece.
R.1744) Mulansky M. & Pikovsky A.: 2013, "Energy spreading in strongly nonlinear lattices", New J. Phys., 15,
053015.
R.1745) Vermersch B. & Garreau J.C.: 2013, "Spectral description of the dynamics of ultracold interacting bosons in
disordered lattices", New J. Phys., 15, 045030.
R.1746) Vermersch B. & Garreau J.C.: 2013, "Decoherence effects in the dynamics of interacting ultracold bosons in
disordered lattices", Eur. Phys. J. Special Top., 217, 109-119.
R.1747) Maluckov A., Lazarides N., Tsironis G.P. & Hadžievski Lj. : 2013, "Extreme events in two dimensional
disordered nonlinear lattices", Physica D, 252, 59-64.
R.1748) Lucioni E., Tanzi L., D’Errico C., Moratti M., Inguscio M. & Modugno G.: 2013, "Modeling the transport of
interacting matter waves in a disordered system by a nonlinear diffusion equation", Phys. Rev. E, 87, 042922.
R.1749) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-
Naturwissenschaftlichen Fakultät, Universität Potsdam.
R.1750) Mulansky M. & Pikovsky A.: 2012, "Scaling properties of energy spreading in nonlinear Hamiltonian two-
dimensional lattices", Phys. Rev. E, 86, 056214.
R.1751) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in
random potentials", Phys. Rev. E, 86, 053612.
R.1752) Shepelyansky D.L.: 2012, "Kolmogorov turbulence, Anderson localization and KAM integrability", Eur. Phys.
J. B., 85, 199.
R.1753) Roy S. & Pikovsky A.: 2012, "Spreading of energy in the Ding-Dong model", Chaos, 22, 026118.
R.1754) Vermersch B. & Garreau J.C.: 2012, "Interacting ultracold bosons in disordered lattices: Sensitivity of the
dynamics to the initial state", Phys. Rev. E, 85, 046213.
R.1755) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:
Results and puzzles", Nonlinearity, 25, R53-R72.
R.1756) Modugno G., D’Errico C., Deissler B., Lucioni E., Modugno M., Moratti M., Roati G., Tanzi L., Zaccanti M.
& Inguscio M.: 2011, "Exploring disorder physics with Bose-Einstein condensates", Proceedings of the 20th
International Conference on Laser pectroscopy, ICOLS 2011, 131-138.
R.1757) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. L.: 2011, "Strong and weak chaos in weakly
nonintegrable many-body Hamiltonian systems", J. Stat. Phys., 145, 1256-1274.
R.1758) Lucioni E., Deissler B., Tanzi L., Roati G., Modugno M., Zaccanti M., Inguscio M. & Modugno G.: 2011,
"Observation of subdiffusion of a disordered interacting system", Phys. Rev. Let., 106, 230403.
R.1759) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson
localization by Arnold diffusion", Annals Phys., 326, 1577-1655.
R.1760) Březinová I., Collins L., Ludwig K., Schneider B. & Burgdörfer J.: 2011, "Wave chaos in the non-equilibrium
dynamics of the Gross-Pitaevskii equation", Phys. Rev. A, 83, 043611.
R.1761) Mulansky M., Ahnert K. & Pikovsky A.: 2011, "Scaling of energy spreading in strongly nonlinear disordered
lattices", Phys. Rev. E, 83, 026205.
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R.1762) Pikovsky A. & Fishman S.: 2011, "Scaling properties of weak chaos in nonlinear disordered lattices", Phys.
Rev. E, 83, 025201(R).
To paper P.30: Skokos Ch. & Gerlach E.: 2010, "Numerical integration of variational equations", Phys. Rev. E,
82, 036704.
R.1763) Hue J.H., Eren E., Chiew S.H., Wei J., Lau Z., Chang L., Chau T.T., Trappe M.-I. & Englert B.-G.: 2020,
"Fourth-order leapfrog algorithms for numerical time evolution of classical and quantum systems",
physics.comp-ph/2007.05308.
R.1764) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1765) Liu Y. & He D.: 2019, "Analytical measure of temperature for nonlinear dynamical systems", Phys. Rev. E,
100, 052143.
R.1766) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable
Klein-Gordon chains", Phys. Rev. E, 100, 032217.
R.1767) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1768) Turchetti G. & Panichi F.: 2019, "Fast Indicators for Orbital Stability: A Survey on Lyapunov and
Reversibility Errors" [Online First], IntechOpen, DOI: 10.5772/intechopen.88085. Available from:
https://www.intechopen.com/online-first/fast-indicators-for-orbital-stability-a-survey-on-lyapunov-and-
reversibility-errors.
R.1769) Mei L. & Huang L.: 2018, "Reliability of Lyapunov characteristic exponents computed by the two-particle
method", Comp. Phys. Comm. 224, 108-118.
R.1770) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1771) Ani C. J.: 2017, "Chaotic behavior of Hamiltonian systems: Application to plasma physics", Structured M.Sc.
Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.
R.1772) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body
problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden.
R.1773) Skoulidou D.:2017, "Symplectic Integration of Equations of Motion and Variational Equations for Extrasolar
Systems of N - Planets", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Thessaloniki,
Greece.
R.1774) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial
Distributions of Nonlinearity", APETC 2017, 1354-1361.
R.1775) Zhang Z., Tang C., Kang J. & Tong P.: 2017, "Dynamical energy equipartition of the Toda model with
additional on-site potentials", Chin. Phys. B, 26, 100505.
R.1776) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar
system", Adv. Stud. Contemp. Math., 26, 385-399.
R.1777) Zhang Z., Kang J. & Tang C.: 2016, "Energy Transports in Toda Lattices with Quasiperiodic On-site
Potentials", MATEC Web of Conferences 61, 01011.
R.1778) Christodoulidi H., Bountis T., Drossos L.: 2016, "Numerical integration of variational equations for
Hamiltonian systems with long range interactions", APNUM, 104, 158-165.
R.1779) Zhang Z., Tang C. & Tong P.: 2016, "Dynamical thermalization of Frenkel-Kontorova model in the
thermodynamic limit", Phys. Rev. E, 93, 022216.
R.1780) Gupta B.R. & Kumar V.: 2016, "Characterization of the Phase Space Structure of Circular Restricted Three-
Body Problem: An Alternative Approach", Int. J. Bifurc. Chaos, 26, 1650029.
R.1781) Naether U., Mejía-Cortés C. & Vicencio R.A.: 2015, " Pseudo-two-dimensional random dimer lattices",Phys.
Lett. A, 379, 988.
R.1782) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
(AIMS), Muizenberg, South Africa.
R.1783) Yang H.-K. & Gao B.-Q.: 2014, "Lyapunov characteristic exponents and dynamic elastic instability of steel
liquid storage tanks", Journal of Shanghai Jiaotong University, 48, 1660-1666.
R.1784) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
Astron. Nachr., 335, 877-885.
R.1785) Ni X.-T. & Wu X.: 2014, "New adaptive time step symplectic integrator: an application to the elliptic
restricted three-body problem", Research Astron. Astroph., 14, 1329-1342.
R.1786) Wang Y., Wu X. & Sun W., 2013, "Dynamics of Charged Particles Around a Magnetized Black Hole with
Pseudo–Newtonian Potential", Commun. Theor. Phys., 60, 433-438.
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R.1787) Manika D.: 2013, "Application of the Compound Matrix Theory for the computation of Lyapunov Exponents of
autonomous Hamiltonian systems", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki,
Thessaloniki, Greece.
R.1788) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,
Aristotle University of Thessaloniki, Thessaloniki, Greece.
R.1789) de Anda M.Á.G.: 2012, "On the calculation of Lyapunov characteristic exponents for continuous-time LTV
dynamical systems using dynamic eigenvalues", Int. J. Bifurc. Chaos, 22, 1250019.
R.1790) Li R. & Wu X.: 2011, "Application of the fourth-order three-stage symplectic integrators in chaos
determination", Eur. Phys. J. Plus, 126, 73.
R.1791) Antonopoulos C.G. & Christodoulidi H.: 2011, "Weak chaos detection in the Fermi-Pasta-Ulam-α system
using q-Gaussian statistics", Int. J. Bifurc. Chaos, 21, 2285-2296.
R.1792) Antonopoulos Ch., Bountis T. C. & Basios V.: 2011, "Quasi-stationary chaotic states in multi-dimensional
Hamiltonian systems", Physica A, 390, 3290-3307.
R.1793) Libert A.-S., Hubaux C. & Carletti T.: 2011, "The Global Symplectic Integrator: an efficient tool for stability
studies of dynamical systems. Application to the Kozai resonance in the restricted three-body problem",
MNRAS, 414, 659-667.
R.1794) Kushvah B. S.: 2011: "Trajectories of L4 and Lyapunov Characteristic Exponents in the Generalized
Photogravitational Chermnykh-Like problem", Astrophys. Space Sci., 333, 49-59.
To paper P.31: Bodyfelt J. D., Laptyeva T. V., Skokos Ch., Krimer D. O., & Flach S.: 2011, "Nonlinear waves in
disordered chains: probing the limits of chaos and spreading", Phys. Rev. E, 84, 016205.
R.1795) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2019, "Transport in a classical disordered
nonlinear system: signatures of many-body localization", cond-mat.stat-mech/1911.03753.
R.1796) Zhao W.-L., Wang J. & Wang W.-G.: 2019, "Quantum-classical correspondence in a nonlinear Gross-
Pitaevski system", J. Phys. A: Math. Theor., 52, 305101.
R.1797) Fontanela F., Grolet A., Salles L, Chabchoub A., Champneys A.R., Patsias S. & Hoffmann N.: 2019,
"Dissipative solitons in forced cyclic and symmetric structures", Mech. Syst. Sign. Proc., 117, 280-292.
R.1798) Li S. & Li N.: 2018, "Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear
Schrödinger equations", Sci. Rep., 8, 5329.
R.1799) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
and Applied Mathematics, University of Cape Town.
R.1800) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading
via self-interaction time modulation", Phys. Rev. A, 94, 053631.
R.1801) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive
processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1802) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials",
Chin. Phs. Lett., 32, 120302.
R.1803) Li N. & Ren J.: 2014, "Non-Reciprocal Geometric Wave Diode by Engineering Asymmetric Shapes of
Nonlinear Materials", Scientific Rep., 4, 6228.
R.1804) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked
rotator at different effective dimensions", J. Phys. A, 47, 335101.
R.1805) Radosavljević A., Gligorić G., Maluckov A. & Stepić M.: 2014, "Control of light propagation in one-
dimensional quasi-periodic nonlinear photonic lattices", J. Opt., 16, 025201.
R.1806) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain
in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921.
R.1807) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.
R.1808) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department,
Aristotle University of Thessaloniki, Thessaloniki, Greece.
R.1809) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch-
Naturwissenschaftlichen Fakultät, Universität Potsdam.
R.1810) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in
random potentials", Phys. Rev. E, 86, 053612.
R.1811) Basko D.M.: 2012, "Local nature and scaling of chaos in weakly nonlinear disordered chains", Phys. Rev. E,
86, 036202.
R.1812) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential:
Results and puzzles", Nonlinearity, 25, R53-R72.
R.1813) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson
localization by Arnold diffusion", Annals Phys., 326, 1577-1655.
Ch. Skokos 31/07/20 69
To paper P.32: Bodyfelt J. D., Laptyeva T. V., Gligoric G., Krimer D. O., Skokos Ch. & Flach S.: 2011, "Wave
interactions in localizing media - a coin with many faces", Int. J. Bifurc. Chaos, 21(8), 2107-2124.
R.1814) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse
interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14.
R.1815) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive
processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1816) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of
Applied Physics, Aalto University.
R.1817) Doggen E.V.H. & Kinnunen J.J.: 2014, "Quench-induced delocalization", New J. Phys., 16 113051.
R.1818) Naether U., Heinrich M., Lahini Y., Nolte S., Vicencio R.A., Molina M.I. & Szameit A.: 2013, "Self-trapping
threshold in disordered nonlinear photonic lattices", Optics Lett., 38, 1518-1520.
R.1819) Kottos T. & Shapiro B.: 2011, "Thermalization of strongly disordered nonlinear chains", Phys. Rev. E, 83,
062103.
To paper P.33: Ponno A., Christodoulidi H., Skokos Ch. & Flach S.: 2011, "The two-stage dynamics in the Fermi-
Pasta-Ulam problem: from regular to diffusive behavior", Chaos, 21,043127.
R.1820) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Universal Time Scale for Thermalization in Two-dimensional
Systems", cond-mat.stat-mech/2005.03478.
R.1821) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Wave-Turbulence Origin of the Instability of Anderson
Localization against Many-Body Interactions", Phys. Rev. Lett., 124, 186401.
R.1822) Pace S.D. & Campbell D.K.: 2019, "Behavior and Breakdown of Higher-Order Fermi-Pasta-Ulam-Tsingou
Recurrences", Chaos, 29, 023132.
R.1823) Fu W., Zhang Y. & Zhao H.: 2019, "Universal law of thermalization for one-dimensional perturbed Toda
lattices", New J. Phys. 21, 043009.
R.1824) Goldfriend T. & Kurchan J.: 2019, "Equilibration of quasi-Integrable Systems", Phys. Rev. E, 99, 022146.
R.1825) Lvov Y.V. & Onorato M.: 2018, "Double scaling in the relaxation time in the β-Fermi-Pasta-Ulam-Tsingou
model", Phys. Rev. Lett., 120, 144301.
R.1826) Zhang Z., Tang C., Kang J. & Tong P.: 2017, "Dynamical energy equipartition of the Toda model with
additional on-site potentials", Chin. Phys. B, 26, 100505.
R.1827) Zhang Z., Kang J. & Tang C.: 2016, "Energy Transports in Toda Lattices with Quasiperiodic On-site
Potentials", MATEC Web of Conferences 61, 01011.
R.1828) Zhang Z., Tang C. & Tong P.: 2016, "Dynamical thermalization of Frenkel-Kontorova model in the
thermodynamic limit", Phys. Rev. E, 93, 022216.
R.1829) Matsuyama H. J. & Konishi T.: 2015, "Multistage slow relaxation in a Hamiltonian system: The Fermi-Pasta-
Ulam model", Phys. Rev. E, 92, 022917.
R.1830) Maspero A.: 2015, "Birkhoff Coordinates of Integrable Hamiltonian systems in Asymptotic Regimes", Ph.D.
Thesis, Dipartimento di Matematica F. Enriques, Università Statale degli Studi di Milano.
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To paper P.34: Boreux J., Carletti T., Skokos Ch. & Vittot M.: 2012, "Hamiltonian control used to improve the
beam stability in particle accelerator models", Commun. Nonlinear Sci. Num. Simulat., 17, 1725-1738.
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To paper P.35: Gerlach E., Eggl S. & Skokos Ch.: 2012, "Efficient integration of the variational equations of
multi-dimensional Hamiltonian systems: Application to the Fermi-Pasta-Ulam lattice", Int. J. Bifurc. Chaos,
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Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
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R.1839) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable
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To paper P.36: Manos T., Skokos Ch. & Antonopoulos Ch. : 2012, "Probing the local dynamics of periodic orbits
by the generalized alignment index (GALI) method", Int. J. Bifurc. Chaos, 22(9), 1250218.
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Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
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R.1846) Gupta B.R. & Kumar V.: 2016, "Characterization of the Phase Space Structure of Circular Restricted Three-
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R.1850) Gupta B.R. & Kumar V.: 2015, "Time-Frequency Analysis of Asymmetric Triaxial Galaxy Model Including
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R.1851) Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute
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R.1852) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
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To paper P.38: Manos T., Bountis T. & Skokos Ch.: 2013, "Interplay between chaotic and regular motion in a
time-dependent barred galaxy model", J. Phys. A, 46, 254017.
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R.1858) Zotos E.E.: 2017, "Distinguishing between order and chaos in a simple barred galaxy model", Astron. Nachr.,
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R.1859) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar
system", Adv. Stud. Contemp. Math., 26, 385-399.
R.1860) Cincotta P.M. & Giordano C.M.: 2016, "Theory and Applications of the Mean Exponential Growth Factor of
Nearby Orbits (MEGNO) Method", Lect. Notes Phys., 915, 93-128.
R.1861) Zotos E.E. & Caranicolas N.D: 2016, "Determining the type of orbits in the central regions of barred
galaxies", RAA, 16, 26.
R.1862) Weinberg M.D.: 2015, "Practical application of KAM theory to galactic dynamics: I. Motivation and
methodology", https://arxiv.org/abs/1508.06855.
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R.1863) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc.
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R.1868) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
Astron. Nachr., 335, 877-885.
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R.1870) Contopoulos G. & Harsoula M.: 2013, "3D chaotic diffusion in barred spiral galaxies", MNRAS, 436, 1201-
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To paper P.39: Skokos Ch., Gkolias I. & Flach S.: 2013, "Nonequilibrium chaos of disordered nonlinear waves",
Phys. Rev. Let., 111, 064101 (Editors' Suggestion).
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R.1872) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov
exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851.
R.1873) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
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Pitaevski system", J. Phys. A: Math. Theor., 52, 305101.
R.1875) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees
of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.
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spin-lattice interactions", Phys. Rev. E, 98, 062136.
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dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.
R.1878) Zampetaki A., Pablo Salas J. & Schmelcher P.: 2018, "Energy transfer mechanisms in a dipole chain: From
energy equipartition to the formation of breathers", Phys. Rev. E, 98, 022202.
R.1879) Novitsky D.V.: 2018, "Disordered resonant media: Self-induced transparency versus light localization", Phys.
Rev. A, 97, 013826.
R.1880) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1881) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
and Applied Mathematics, University of Cape Town.
R.1882) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, "Sub-diffusive spreading
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interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14.
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processes in disordered Hamiltonian lattices", APNUM, 104, 110-119.
R.1886) Harko T, Pantaragphong P. & Sabau S.: 2015, "A new perspective on the Kosambi-Cartan-Chern theory, and
its applications", https://arxiv.org/abs/1509.00168.
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R.1888) Harko T., Ho C.Y., Leung C.S. & Yip, S.: 2015, "Jacobi stability analysis of the Lorenz system", Int. J. Goem.
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R.1889) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of
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R.1890) Laptyeva T.V., Denisov S.V., Opisov G.V. & Ivanchenko M.V.: 2014, "Localization in active incommensurate
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R.1894) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain
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classical nonlinear lattices", New J. Phys., 15, 123004.
To paper P.40: Tieleman O., Skokos Ch. & Lazarides A.: 2014, "Chaoticity without thermalisation in disordered
lattices", Europhysics Letters, 105, 20001.
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Phys. A, 47, 493001.
R.1897) Kwasigroch M.P. & Cooper N.R.: 2014, "Bose-Einstein Condensation and Many-Body Localization of
Rotational Excitations of Polar Molecules", Phys. Rev. A, 90, 021605(R).
To paper P.41: Skokos Ch., Gerlach E., Bodyfelt J. D., Papamikos G. & Eggl S.: 2014, "High order three part
split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete non
linear Schrödinger equation", Phys. Let. A, 378, 1809-1815.
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Formulation", cond-mat.dis-nn/1912.10569.
R.1899) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three
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R.1900) Laskar J. & Vaillant T.: 2019, "Dedicated symplectic integrators for rotation motions", Cel. Mech. Dyn. Astr.,
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R.1903) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
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R.1904) Li D., Han X., Chai Y., Wang C., Zhang Z., Chen Z., Liu J. & Shao J.: 2017, "Stationary state distribution and
efficiency analysis of the Langevin equation via real or virtual dynamics", J. Chem. Phys., 147, 184104.
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configurational sampling for classical/quantum canonical ensembles via molecular dynamics", J. Chem. Phys.,
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R.1906) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian
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R.1907) Blanes S., Casas F., Murua A.: 2015, "An efficient algorithm based on splitting for the time integration of the
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R.1908) Laptyeva T.V., Ivanchenko M.V. & Flach S.: 2014, "Nonlinear lattice waves in heterogeneous media", J.
Phys. A, 47, 493001.
R.1909) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.
To paper P.42: Antonopoulos Ch., Bountis T., Skokos Ch. & Drossos L.: 2014, "Complex statistics and diffusion
in nonlinear disordered particle chains", Chaos, 24, 024405.
R.1910) Ruseckas J.: 2015, "Probabilistic model of N correlated binary random variables and non-extensive statistical
mechanics", Phys. Lett. A, 379, 654-659.
To paper P.43: Kyriakopoulos N., Koukouloyannis V., Skokos Ch. & Kevrekidis P.: 2014, "Chaotic behavior of
three interacting vortices in a confined Bose-Einstein condensate", Chaos, 24, 024410.
R.1911) Zhang T., Schloss J., Thomasen A., O’Riordan L.J., Busch T. & White A.: 2019, "Chaotic few-body vortex
dynamics in rotating Bose–Einstein condensates", Phys. Rev. Fluids, 4, 054701.
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R.1913) Zhang T.: 2017, "Chaotic Vortex Dynamics in Bose-Einstein Condensates", M.Sc. Thesis, Department of
Physics, Norwegian University of Science and Technology.
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characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.
To paper P.44: Achilleos V., Theocharis G. & Skokos Ch.: 2016, "Energy transport in one-dimensional
disordered granular solids", Phys. Rev. E, 93, 022903.
R.1916) Zhang W. & Xu J.: 2020, "Universal design law of equivalent systems for Nesterenko solitary waves
transmission", Gran. Matt., 22, 46.
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hexagonal packing granular system", Gran. Matt., 20, 49.
R.1918) Gerasymov O.I.: 2018, "Structure and Photonics of discrete meso-scaled anisotropic systems", Monography,
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From Experiment and Modelling to Computation and Mathematical Analysis", SpringerBriefs in Physics, 51-67.
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superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640.
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Disordered Granular Crystals", Phys. Rev. E, 93, 022902.
To paper P.45: Gerlach E., Meichsner J, & Skokos Ch.: 2016, "On the symplectic integration of the discrete
nonlinear Schrödinger equation with disorder", Eur. Phys. J. Sp. Top., 225, 1103-1114.
R.1928) Ramos A., Kottos T. & Shapiro B.: 2019, "Optical Phase Transitions in Photonic Networks: A Spin System
Formulation", cond-mat.dis-nn/1912.10569.
R.1929) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.1930) Hatami H., Danieli C., Bodyfelt J.D. & Flach S.: 2016, "Quasiperiodic driving of Anderson localized waves in
one dimension", Phys. Rev. E, 93, 062205.
To paper P.47: Chaves-Velasquez L., Patsis P. A., Puerari I., Skokos Ch. & Manos T.: 2017, "Boxy orbital
structures in rotating bar models", Astroph. J., 850, 145.
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Galaxies", Astroph. J., 895, 12.
R.1933) Di Cintio P. & Casetti L.: 2019, "N-body chaos and the continuum limit in numerical simulations of self-
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Wang L. & Zocchi A.: 2018, "A MODEST review", Computational Astrophysics and Cosmology, 5, 2.
To paper P.49: Achilleos V., Theocharis G. & Skokos Ch.: 2018, "Chaos and Anderson-like localization in
polydisperse granular chains", Phys. Rev. E, 97, 042220.
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superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640.
To paper P.50: Senyange B. & Skokos Ch.: 2018, "Computational efficiency of symplectic integration schemes:
Application to multidimensional disordered Klein-Gordon lattices", Eur. Phys. J. Sp. Top., 227, 625-643.
R.1938) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1939) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable
Klein-Gordon chains", Phys. Rev. E, 100, 032217.
R.1940) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of
Mathematics and Applied Mathematics, University of Cape Town, South Africa.
To paper P.51: Senyange B., Many Manda B. & Skokos Ch.: 2018, "Characteristics of chaos evolution in one-
dimensional disordered nonlinear lattices", Phys. Rev. E, 98, 052229.
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lattices", cond-mat.stat-mech/2006.06286.
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Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1944) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees
of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.
To paper P.52: Hillebrand M., Kalosakas G., Schwellnus A. & Skokos Ch.: 2019, "Heterogeneity and chaos in the
Peyrard-Bishop-Dauxois DNA model", Phys. Rev. E, 99, 022213.
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transport along DNA-like molecular wires", Phys. Rev. E., 100, 052203.
To paper P.53: Ngapasare A., Theocharis G., Richoux O., Skokos Ch. & Achilleos V.: 2019, "Chaos and Anderson
Localisation in Disordered Classical Chains: Hertzian versus Fermi-Pasta-Ulam-Tsingou models", Phys. Rev. E,
99, 032211.
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To paper P.54: Danieli C., Many Manda B., Mithun T. & Skokos Ch.: 2019, "Computational efficiency of
numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two
spatial dimensions", Math. in Engineering, 1, 447-488.
R.1949) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.1950) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three
Parts", Mathematics 8, 533.
To paper P.55: Many Manda B., Senyange B. & Skokos Ch.: 2020, "Chaotic wave packet spreading in two-
dimensional disordered nonlinear lattices", Phys. Rev. E, 101, 032206.
R.1951) Kati Y., Yu X. & Flach S.: 2020, "Density resolved wave packet spreading in disordered Gross-Pitaevskii
lattices", cond-mat.stat-mech/2006.06286.
To paper C.1: Skokos Ch. : 1993, "Study of a 4-D mapping" in "Proc. A' Panhellenic Asron. Meeting" ed.
Laskarides P.G., Athens, 491-495 (in Greek).
R.1952) Contopoulos G. : 1995, "Order and Chaos in Three-Dimensional Systems", Ann. New York Acad. Sci., 751,
112-130.
To paper C.3: Skokos Ch., Contopoulos G. & Giorgilli A.: "Study of the effective stability in the restricted three
body problem", 1996, in "Proc. 2nd Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D.,
Mavridis L. N. & Seiradakis J. H., Thessaloniki, 526-531.
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11. Stars and Galaxies", ed. Scielicke R. E., Astronomische Gesellschaft, Hamburg, 29-56.
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To paper C.4: Skokos Ch., Contopoulos G. & Polymilis C. : 1996, "Non periodic orbits in a four dimensional
symplectic map" in "Proc. 2nd
Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D., Mavridis L.
N. & Seiradakis J. H., Thessaloniki, 578-582.
R.1954) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three
degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department,
Univ. of Athens (in Greek).
To paper C.6: Skokos Ch., Contopoulos G. & Polymilis C. : 1999, "Numerical study of the phase space of a four
dimensional symplectic map" in "Hamiltonian systems with three or more degrees of freedom", ed. Simó C.,
NATO ASI Series, Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 533, 583-587.
R.1955) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn.,
69, 2041-2063.
R.1956) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three
degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department,
Univ. of Athens (in Greek).
R.1957) Katsanikas M. & Patsis P. A.: 2011, "The structure of invariant tori in a 3D galactic potential", Int. J. Bifurc.
Chaos, 21, 467-496.
To paper C.12: Skokos Ch. : 2002, "Stability types of periodic orbits of multidimensional Hamiltonian systems" in
"Proceedings of the 5th
Hellenic Astronomical Conference",
http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm.
R.1958) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
(AIMS), Muizenberg, South Africa.
To paper C.13: Skokos Ch.: "Smaller alignment index (SALI): a new indicator distinguishing between ordered
and chaotic motion", 2002, in "Proceedings of the 5th
Hellenic Astronomical Conference",
http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm.
R.1959) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from
classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics,
Univ. of Patras (in Greek).
R.1960) Antonopoulos Ch. : 2002, "Singularity analysis and study of the motion of the Hydrogen atom in a van der
Waals Potential", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,
http://www.math.upatras.gr/~antonop/downloads/pdf_files/my%20masters%20thesis.pdf, (in Greek).
To paper C.15: Bountis T. C., Skokos Ch. & Vrahatis M. N. : 2002, "Computation and stability of periodic orbits
of nonlinear mappings" in " Proceedings of the 4th GRACM Congress on Computational Mechanics", ed.
Tsahalis D. T., Vol. II, 562-570.
R.1961) Crofts J.: 2007, "Efficient method for detection of periodic orbits in chaotic maps and flows", Ph.D. Thesis,
Department of Mathematics, Univ. of Leicester, nlin.CD /0706.1940.
To paper C.16: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2002, "Smaller alignment index
(SALI): Detecting order and chaos in conservative dynamical systems" in "Proceedings of the 4th GRACM
Congress on Computational Mechanics", ed. Tsahalis D. T., Vol. IV, 1496-1502.
R.1962) Zhang T.: 2017, "Chaotic Vortex Dynamics in Bose-Einstein Condensates", M.Sc. Thesis, Department of
Physics, Norwegian University of Science and Technology.
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"Extremes and recurrence in dynamical systems", Pure and Applied Mathematics: A Wiley Series of Texts,
Monographs, and Tracts, John Wiley & Sons, Inc., Hoboken, New Jersey.
R.1964) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
(AIMS), Muizenberg, South Africa.
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recurrences and extreme value theory", Phys. Rev. E, 89, 052901.
R.1966) Faranda D., Lucarini V., Turchetti G. & Vaienti S.: 2012, "Generalized extreme value distribution parameters
as dynamical indicators of stability", Int. J. Bifurc. Chaos, 22, 1250276.
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dynamical indicator", Int. J. Bifurc. Chaos, 22, 1250215.
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R.1968) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the
SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642.
R.1969) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D
Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of
Applied Analysis, Department of Mathematics, Univ. of Patras.
R.1970) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in
"Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical
Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668.
R.1971) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc.
Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,
http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).
To paper C.19: Skokos Ch. : 2003, "Stability of periodic orbits of multidimensional Hamiltonian systems.
Application to systems with four degrees of freedom" in "Order and Chaos in Non-linear Dynamical Systems, Vol.
8" eds. Bountis T. C., Ichtiaroglou S. & Pnevmatikos S., Sfakianaki K., Thessaloniki, 111-126.
R.1972) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized
(GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences
(AIMS), Muizenberg, South Africa.
To paper C.20: Patsis P. A., Skokos Ch. & Athanassoula E. : 2003, "Peanuts in barred analytic potentials" in
"Astrophysical Supercomputing using Particle Simulations", IAU Symp., Vol. 208, eds. Makino J. & Hut P., 437-
438.
R.1973) ESA-ESO Working Groups: 2008, "Report No. 4. Galactic populations, chemistry and dynamics", Chair:
Turon C., Co-chair: Primas F.
To paper C.21: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2003, "Smaller alignment index
(SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems" in "Proceedings
of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J.,
World Scientific, 653-664.
R.1974) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic.
Astron. Astrof., 55, 321-335.
R.1975) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied
in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60.
R.1976) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish
Chaotic and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165.
R.1977) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
Astron. Nachr., 335, 877-885.
R.1978) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the
SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642.
R.1979) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D
Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of
Applied Analysis, Department of Mathematics, Univ. of Patras.
R.1980) Kovács B.: 2007, "About the efficiency of Fast Lyapunov Indicator surfaces and Small Alignment Indicator
surfaces", Astron. Dept. of the Eötvös Univ., PADEU, 19, 221-236.
R.1981) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in
"Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical
Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668.
R.1982) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc.
Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras,
http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).
To paper C.22: Polymilis C., Servizi G., Skokos Ch., Turchetti G. & Vrahatis M. N. : 2003, "Locating periodic
orbits by Topological Degree theory" in "Proceedings of the Conference Libration Point Orbits and
Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 665-676.
R.1983) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 6: Lyapunov exponents" in
online book "Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/.
R.1984) Steeb, W.-H.: 2011, "The nonlinear workbook: Chaos, fractals, cellular automata, genetic algorithms, gene
expression programming, support vector machine, wavelets, hidden markov models, fuzzy logic with C++, java
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and symbolicC++ programs", 5th Edition, http://www.worldscientific.com/worldscibooks/10.1142/8050, World
Scientific Publishing Co.
R.1985) Gao F. & Tong H.: 2005, "Computing two linchpins of topological degree by a novel differential evolution
algorithm", Int. J. Comput. Intellig. Applic., 5 (3), 335-350.
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problems", Phys. Rep., 400, 67-148.
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6491-6506.
To paper C.30: Papaphilippou Y., Farvacque L., Plouviez E., Revol J.-L., Ropert A., Laskar J. & Skokos Ch. :
2004, "Experimental frequency maps for the ESRF storage ring" in "Proceedings of the 9th European Particle
Accelerator Conference EPAC’04", http://accelconf.web.cern.ch/accelconf/e04/default.htm, (ISBN 92-9083-231-2
web version), 2050-2052.
R.1988) Zisopoulos P., Gasior M., Serluca M. & Sterbini G.: 2017, "Fast bunch by bunch tune measurements at the
CERN PS" in "Proceedings of the 8th International Particle Accelerator Conference IPAC’17",
http://accelconf.web.cern.ch/AccelConf/ipac2017/ (ISBN 978-3-95450-182-3 web version), 415-418.
R.1989) Kling A. & Balewski K.: 2010, "Frequency maps at PETRA III" in "Proceedings of the 1st International
Particle Accelerator Conference IPAC’10", http://accelconf.web.cern.ch/AccelConf/IPAC10/ (ISBN 978-92-
9083-352-9 web version), 2511-2513.
To paper C.31: Bratsos A. G., Papadopoulos D. P. & Skokos Ch. : 2004, "A numerical solution of the Boussinesq
equation using the Adomian method" in Lecture Series on Computer and Computational Sciences, Vol. 1
"ICCMSE 2004, International Conference of Computational Methods in Sciences and Engineering 2004", eds.
Simos Th. & Maroulis G., VSP International Science Publishers, 83-86.
R.1990) Hosseini M. M. & Jafari M.: 2009, "An efficient method for solving nonlinear singular initial value problems",
Int. J. Computer Math., 86, 1657-1666.
To paper C.34: Tzirtzilakis E. E., Skokos Ch. & Bountis T. C. : 2005, "Numerical solution of the Boussinesq
equation using spectral methods and stability of solitary wave propagation" in "Proceedings of the 1st
International Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras
Univ. Press, Vol. III, 928-933.
R.1991) El-Kady M, El-Sayed S.M. & Salem H.E.: 2015, "Numerical Solutions of Coupled Nonlinear Evolution
Equations via El-gendi Nodal Galerkin Method", Brit. J. Math. Comp. Sci., 5, 310-332.
R.1992) Siddiqi S.S. & Arshed S.: 2014, "Quintic B-spline for the numerical solution of the good Boussinesq
equation". J. Egypt. Math. Soc., 22, 209-213.
R.1993) Hassan H. N.: 2010, "Numerical solution of a Boussinesq type equation using Fourier spectral methods",
Zeitschrift für Ntaurforschung A, A Journal of Physical Sciences, 65a, 305-314.
To paper C.35: Antonopoulos Ch., A. Manos A. & Skokos Ch. : 2005, "SALI: an efficient indicator of chaos with
application to 2 and 3 degrees of freedom Hamiltonian systems" in "Proceedings of the 1st International
Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras Univ. Press,
Vol. III, 1082-1088.
R.1994) Deleanu D.: 2019, "Indicatori ai teoriei haosului", Editura NAUTICA, ISBN 978-606-681-127-9 (in
Romanian).
R.1995) Bhardwaj R. & Bangia A.: 2019, "Dynamic Indicator for the Prediction of Atmospheric Pollutants", Asian J.
Water, Envir. Pollut., 16, 39–50.
R.1996) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc.
Chaos, 25, 1550116.
To paper C.38: Skokos Ch. & Papaphilippou Y. : 2008, "Non Linear Dynamics Study of the CLIC Damping
Rings Using Symplectic Integrators", in "Proceedings of the 11th European Particle Accelerator Conference,
EPAC08", http://accelconf.web.cern.ch/AccelConf/e08/, (ISBN 978-92-9083-315-4 web version), 682-684.
R.1997) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
To paper C.39: Manos T., Skokos Ch. & Bountis T.: 2008, "Application of the Generalized Alignment Index
(GALI) method to the dynamics of multi-dimensional symplectic maps" in "Chaos, Complexity and Transport:
Theory and Applications. Proceedings of the CCT 07" eds. Chandre C., Leoncini X. & Zaslavsky G., World
Scientific, 356-364.
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R.1998) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to
characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.
R.1999) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem",
Astron. Nachr., 335, 877-885.
To paper C.40: Manos T., Skokos Ch. & Bountis T.: 2009, "Global dynamics of coupled standard maps" in
"Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A.,
Springer-Verlag, 367-371.
R.2000) Blumenthal A., Xue J. & Yang Y.: 2020, "Lyapunov exponents for random perturbations of coupled standard
maps", math.DS/2004.10626.
R.2001) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body
problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden.
R.2002) Gidea M., Gidea C & Byrd W.: 2011, "Deterministic models for simulating electrocardiographic signals",
Commun. Nonlinear Sci. Numer. Simul., 16, 3871-3880.
To paper C.41: Gerlach E. & Skokos Ch.: 2011, "Comparing the efficiency of numerical techniques for the
integration of variational equations", in "Dynamical Systems, Differential Equations and Applications",
Discr.Cont. Dyn. Sys.-Supp. 2011 (dedicated to the 8th
AIMS’ Conference), eds. Feng W., Feng Z., Grasselli M.,
Ibragimov A., Lu X, Siegmund S. & Voirt J., AIMS, 475-484.
R.2003) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis,
Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.
R.2004) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic
Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 1-31, Springer Series in Synergetics,
Springer-Verlag, Berlin Heidelberg.
R.2005) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable
Klein-Gordon chains", Phys. Rev. E, 100, 032217.
R.2006) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics
and Applied Mathematics, University of Cape Town.
R.2007) Vallejo J.C. & Sanjuan M.A.F.: 2017, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic
Dynamics. A Finite-time Lyapunov Exponents Approach", 1-24, Springer Series in Synergetics, Springer-
Verlag, Berlin Heidelberg.
R.2008) Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute
for Mathematical Sciences (AIMS), Muizenberg, South Africa.
R.2009) Mai E. & Geyer R.: 2014, "Numerical orbit integration based on Lie series with use of parallel computing
techniques", Adv. Space Res., 53, 77-89.
R.2010) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos
indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033.
R.2011) Li R. & Wu X.: 2011, "Application of the fourth-order three-stage symplectic integrators in chaos
determination", Eur. Phys. J. Plus, 126, 73.
To paper C.42: Gerlach E., Eggl S., Skokos Ch., Bodyfelt J. D. & Papamikos G.: 2013, "High order three part
split symplectic integration schemes", in "Proceedings of the 10th HSTAM International Congress on
Mechanics", nlin.CD/1306.0627.
R.2012) Zhou Z. & Russo G.: 2019, "The Gaussian wave packets transform for the semi-classical Schrödinger
equation with vector potentials", Commun. Comput. Phys., 26, 469-505 (http://global-
sci.org/intro/article_detail/cicp/13099.html, math.NA/1802.0370).
R.2013) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model",
https://arxiv.org/abs/1703.01328.
R.2014) Channell P.J.: 2014, "Hybrid symplectic integrators for relativistic particles in electric and magnetic fields",
Comput. Sci. & Discov., 7, 015001.
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