Nonlinear Sciences

Authors and titles for August 2012

[1] arXiv:1208.0048 [pdf, other]

Title: Self-growing differential equations for hyperchaotic systems reconstruction by modified genetic programming in a novel non-Lyapunov approach

Fei Gao, Feng-Xia Fei, Qian Xu, Yan-Fang Deng, Yi-Bo Qi

Comments: This paper has been withdrawn by the author due to a crucial sign error in equation 1

Subjects: Chaotic Dynamics (nlin.CD)

[2] arXiv:1208.0049 [pdf, other]

Title: Identification of unknown parameters and orders via cuckoo search oriented statistically by differential evolution for non-commensurate fractional order chaotic systems

Fei Gao, Feng-xia Fei, Qian Xu, Yan-fang Deng, Yi-bo Qi

Comments: 53 pages, 12 figures. arXiv admin note: text overlap with arXiv:1207.7357

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph)

[3] arXiv:1208.0207 [pdf, other]

Title: Geometrical Derivation of Equilibrium Distributions in some Stochastic Systems

Ricardo Lopez-Ruiz, Jaime Sanudo

Comments: 18 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:0708.3761, arXiv:1001.3327, arXiv:0708.1866; Chapter to appear in InTech Books (2012)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Probability (math.PR)

[4] arXiv:1208.0223 [pdf, other]

Title: The bistable brain: a neuronal model with symbiotic interactions

Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret

Comments: 20 pages, 20 figures; Chapter to appear

Subjects: Chaotic Dynamics (nlin.CD); Neural and Evolutionary Computing (cs.NE); Dynamical Systems (math.DS)

[5] arXiv:1208.0254 [pdf, other]

Title: Leaking Chaotic Systems

Eduardo G. Altmann, Jefferson S. E. Portela, Tamás Tél

Comments: Review article, 54 pages, final published version

Journal-ref: Rev. Mod. Phys. 85, 869 (2013)

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Data Analysis, Statistics and Probability (physics.data-an); Fluid Dynamics (physics.flu-dyn)

[6] arXiv:1208.0255 [pdf, other]

Title: Limited Imitation Contagion on Random Networks: Chaos, Universality, and Unpredictability

Peter Sheridan Dodds, Kameron Decker Harris, Christopher M. Danforth

Comments: 4 pages, 3 figures

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Physics and Society (physics.soc-ph)

[7] arXiv:1208.0272 [pdf, other]

Title: Phase Transition in NK-Kauffman Networks and its Correction for Boolean Irreducibility

Federico Zertuche

Comments: 23 pages, 7 Figures on request. Published in Physica D: Nonlinear Phenomena: Vol.275 (2014) 35-42

Journal-ref: Federico Zertuche, Physica D Vol.275 (2014) 35-42

Subjects: Cellular Automata and Lattice Gases (nlin.CG)

[8] arXiv:1208.0370 [pdf, other]

Title: The Chaos Within Sudoku

Maria Ercsey-Ravasz, Zoltan Toroczkai

Comments: 9 pages, 4 color figures

Subjects: Chaotic Dynamics (nlin.CD); Data Structures and Algorithms (cs.DS); Computational Physics (physics.comp-ph)

[9] arXiv:1208.0451 [pdf, other]

Title: Directed Random Markets: Connectivity determines Money

Ismael Martinez-Martinez, Ricardo Lopez-Ruiz

Comments: 14 pages, 6 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Multiagent Systems (cs.MA); Trading and Market Microstructure (q-fin.TR)

[10] arXiv:1208.0547 [pdf, other]

Title: Cooperation in Neural Systems: Bridging Complexity and Periodicity

Marzieh Zare, Paolo Grigolini

Comments: The paper is under review and might be under copyright of a journal

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Neurons and Cognition (q-bio.NC)

[11] arXiv:1208.0726 [pdf, other]

Title: Elliptic solutions in the H\'{e}non - Heiles model

Maria V. Demina, Nikolai A. Kudryashov

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[12] arXiv:1208.0771 [pdf, other]

Title: Classification of two-dimensional binary cellular automata with respect to surjectivity

Henryk Fukś, Andrew Skelton

Comments: 7 pages, 2 figures

Journal-ref: Proceedings of the 2012 International Conference on Scientific Computing: CSC-2012 (CSERA Press 2012), p. 51-57

Subjects: Cellular Automata and Lattice Gases (nlin.CG)

[13] arXiv:1208.0785 [pdf, other]

Title: Estimating topological entropy from the motion of stirring rods

Sarah E. Tumasz, Jean-Luc Thiffeault

Comments: 10 pages, 20 figures. IUTAM Procedia style (included). Submitted to volume "Topological Fluid Dynamics II."

Journal-ref: Procedia IUTAM 7, 117-126 (2013)

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Fluid Dynamics (physics.flu-dyn)

[14] arXiv:1208.0823 [pdf, other]

Title: Computationally Tractable Pairwise Complexity Profile

Yavni Bar-Yam, Dion Harmon, Yaneer Bar-Yam

Comments: 18 pages, 3 figures

Journal-ref: Complexity 18:5 pp 20--27 (2013)

Subjects: Pattern Formation and Solitons (nlin.PS); Physics and Society (physics.soc-ph)

[15] arXiv:1208.1064 [pdf, other]

Title: Energy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscilliatory chain

V. V. Smirnov, D. S. Shepelev, L. I. Manevitch

Comments: 15 pages, 8 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[16] arXiv:1208.1107 [pdf, other]

Title: Renormalization group approach to chaotic strings

Stefan Groote, Hardi Veermäe, Christian Beck

Comments: 36 pages, 18 figures - v2 contains slightly more than the published version

Journal-ref: Chaos Sol. Fract. 53 (2013) 18-33

Subjects: Chaotic Dynamics (nlin.CD)

[17] arXiv:1208.1276 [pdf, other]

Title: Highly-complex optical signal generation using electro-optical systems with non-linear, non-invertible transmission functions

José J. Suárez-Vargas, Bicky A. Márquez, Jorge A. González

Comments: 4 pages, 5 figures. To appear in Applied Physics Letters (August 2012)

Journal-ref: Appl. Phys. Lett. 101, 071116 (2012)

Subjects: Chaotic Dynamics (nlin.CD); Optics (physics.optics)

[18] arXiv:1208.1374 [pdf, other]

Title: Tau function of the CKP hierarchy and non-linearizable Virasoro symmetries

Liang Chang, Chao-Zhong Wu

Comments: 29 pages, published version

Journal-ref: Nonlinearity 26 (2013) 2577--2596

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[19] arXiv:1208.1475 [pdf, other]

Title: On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation

K. R. Khusnutdinova, C. Klein, V. B. Matveev, A. O. Smirnov

Comments: 14 pages, 17 figures

Journal-ref: Chaos 23, 013126 (2013)

Subjects: Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[20] arXiv:1208.1498 [pdf, other]

Title: Nonlinear modes and symmetry breaking in rotating double-well potentials

Yongyao Li, Wei Pang, Boris A. Malomed

Comments: Physical Review A, in press

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas); Optics (physics.optics)

[21] arXiv:1208.1541 [pdf, other]

Title: The semiclassical modified nonlinear Schr\"odinger equation II: asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data

Jeffery C. DiFranco, Peter D. Miller

Comments: 39 pages, 9 figures. Submitted to Contemporary Mathematics (Proceedings of the Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, 2012 Joint Mathematics Meetings, Boston; Anton Dzhamay, Kenichi Maruno, and Virgil Pierce editors)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Analysis of PDEs (math.AP)

[22] arXiv:1208.1654 [pdf, other]

Title: Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor

Yian Ma, Qijun Tan, Ruoshi Yuan, Bo Yuan, Ping Ao

Comments: 17 pages, 8 figures

Subjects: Chaotic Dynamics (nlin.CD)

[23] arXiv:1208.1691 [pdf, other]

Title: Limit Distribution of Averages over Unstable Periodic Orbits Forming Chaotic Attractor

Denis S. Goldobin

Subjects: Chaotic Dynamics (nlin.CD)

[24] arXiv:1208.1888 [pdf, other]

Title: A Modal Series Representation of Genesio Chaotic System

H. Ramezanpour, B. Razeghi, G. Darmani, S. Noei, A. Sargolzaei

Comments: International Journal of Instrumentation and Control Systems (IJICS) Vol.2, No.3, July 2012

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[25] arXiv:1208.2017 [pdf, other]

Title: Comment on "Classical Simulations Including Electron Correlations for Sequential Double Ionization"

Cristel Chandre (CPT), Adam Kamor (CPT), Francois Mauger (CPT), Turgay Uzer

Subjects: Chaotic Dynamics (nlin.CD); Atomic Physics (physics.atom-ph)

[26] arXiv:1208.2090 [pdf, other]

Title: Nonlinear Dirac equation solitary waves in external fields

Franz G. Mertens, Niurka R. Quintero, Fred Cooper, Avinash Khare, Avadh Saxena

Comments: 29 pages, 9 figures, one table

Subjects: Pattern Formation and Solitons (nlin.PS); High Energy Physics - Theory (hep-th)

[27] arXiv:1208.2396 [pdf, other]

Title: Do cycles dissipate when subjects must choose simultaneously?

Bin Xu, Zhijian Wang

Comments: Keywords: experimental economics / cycle / mixed equilibrium / zero-sum game / evolution dynamics / Rock-Paper-Scissors

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Applications (stat.AP)

[28] arXiv:1208.2414 [pdf, other]

Title: On traveling waves in lattices: The case of Riccati lattices

Zlatinka I. Dimitrova

Comments: 17 pages, no figures

Journal-ref: Journal of Theoretical and Applied Mechanics, vol. 42, Nr. 3, 3-22 (2012)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[29] arXiv:1208.2445 [pdf, other]

Title: Solitons and their ghosts in PT-symmetric systems with defocusing nonlinearities

V. Achilleos, P. G.Kevrekidis, D. J. Frantzeskakis, R. Carretero-Gonzalez

Comments: 17 pages, 16 figures

Journal-ref: Localized Excitations in Nonlinear Complex Systems, Nonlinear Systems and Complexity 7, (2014) 3-42

Subjects: Pattern Formation and Solitons (nlin.PS); Soft Condensed Matter (cond-mat.soft)

[30] arXiv:1208.2456 [pdf, other]

Title: Wolfram's Classification and Computation in Cellular Automata Classes III and IV

Genaro J. Martinez, J. C. Seck-Tuoh-Mora, Hector Zenil

Comments: 27 pages, 13 figures, forthcoming in Irreducibility and Computational Equivalence to be published by Springer Verlag (this http URL). Extended paper version to appear in the Journal of Cellular Automata (JCA)

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Computational Complexity (cs.CC); Information Theory (cs.IT); Dynamical Systems (math.DS)

[31] arXiv:1208.2610 [pdf, other]

Title: Quantum Chaos and Quantum Computing Structures

Carlos Pedro Gonçalves

Comments: 9 figures

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

[32] arXiv:1208.2783 [pdf, other]

Title: Topology Inspired Problems for Cellular Automata, and a Counterexample in Topology

Ville Salo (University of Turku, Finland), Ilkka Törmä (University of Turku, Finland)

Comments: In Proceedings AUTOMATA&JAC 2012, arXiv:1208.2498

Journal-ref: EPTCS 90, 2012, pp. 53-68

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Formal Languages and Automata Theory (cs.FL); General Topology (math.GN)

[33] arXiv:1208.2904 [pdf, other]

Title: Nonlinear shallow ocean wave soliton interactions on flat beaches

Mark J. Ablowitz, Douglas E. Baldwin

Comments: 5 pages, 6 figures

Journal-ref: Physical Review E, vol. 86(3), pp. 036305 (2012)

Subjects: Pattern Formation and Solitons (nlin.PS)

[34] arXiv:1208.2935 [pdf, other]

Title: Double Poisson brackets on free associative algebras

A. Odesskii, V. Rubtsov, V. Sokolov

Comments: 19 pages, latex

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Quantum Algebra (math.QA)

[35] arXiv:1208.2945 [pdf, other]

Title: Ultra-high-frequency piecewise-linear chaos using delayed feedback loops

Seth D. Cohen, Damien Rontani, Daniel J. Gauthier

Subjects: Chaotic Dynamics (nlin.CD)

[36] arXiv:1208.3241 [pdf, other]

Title: Hidden information and regularities of information dynamics III

Vladimir S. Lerner

Comments: 27 pages,7 figures. arXiv admin note: text overlap with arXiv:1109.3125

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Information Theory (cs.IT)

[37] arXiv:1208.3259 [pdf, other]

Title: Interactions among different types of nonlinear waves described by the Kadomtsev-Petviashvili Equation

Xue-Ping Cheng, Chun-Li Chen, Sen-Yue Lou

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[38] arXiv:1208.3339 [pdf, other]

Title: Hirota equation and the quantum plane

Adam Doliwa

Comments: 19 pages, 9 figures; added references with relevant comments (v2)

Journal-ref: Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, Contemporary Mathematics, vol. 593, Amer. Math. Soc., Providence, RI, 2013, pp. 205-230

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[39] arXiv:1208.3551 [pdf, other]

Title: Interplay Between Chaotic and Regular Motion in a Time-Dependent Barred Galaxy Model

T. Manos, T. Bountis, Ch. Skokos

Comments: 21 pages, 9 figures (minor typos fixed) to appear in J. Phys. A: Math. Theor

Journal-ref: J. Phys. A: Math. Theor. 46 (2013) 254017

Subjects: Chaotic Dynamics (nlin.CD); Astrophysics of Galaxies (astro-ph.GA)

[40] arXiv:1208.3685 [pdf, other]

Title: Extended foundations of stochastic prediction

Sergey Kamenshchikov

Comments: This paper has been withdrawn by the author due to the model modification

Subjects: Chaotic Dynamics (nlin.CD); Adaptation and Self-Organizing Systems (nlin.AO)

[41] arXiv:1208.3752 [pdf, other]

Title: Solutions to the ABS lattice equations via generalized Cauchy matrix approach

Da-jun Zhang, Song-lin Zhao

Comments: 24 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[42] arXiv:1208.3793 [pdf, other]

Title: Localized modes in nonlinear photonic kagome nanoribbons

Mario I. Molina

Comments: 4 pages, 8 figures, submitted for publication

Subjects: Pattern Formation and Solitons (nlin.PS)

[43] arXiv:1208.4422 [pdf, other]

Title: A new $(\gamma_n,\sigma_k)-$ KP hierarchy and generalized dressing method

Yuqin Yao, Yehui Huang, Yunbo Zeng

Comments: 14 pages, to appear in Journal of Nonlinear Mathematical Physics

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[44] arXiv:1208.4425 [pdf, other]

Title: Beyond leading order logarithmic scaling in the catastrophic self-focusing (collapse) of a laser beam in Kerr media

Pavel M. Lushnikov, Sergey A. Dyachenko, Natalia Vladimirova

Comments: 9 pages, 5 figures; extended text compare with previous version

Journal-ref: Physical Review A, v. 88, 013845 (2013)

Subjects: Pattern Formation and Solitons (nlin.PS); Analysis of PDEs (math.AP); Optics (physics.optics)

[45] arXiv:1208.4460 [pdf, other]

Title: Anomalous Roughening of Curvature-Driven Growth With a Variable Interface Window

Yong-Jun Chen, Yuko Nagamine, Tomohiko Yamaguchi, Kenichi Yoshikawa

Journal-ref: Physical Review E 82, 021604 (2010)

Subjects: Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph); Chemical Physics (physics.chem-ph)

[46] arXiv:1208.4540 [pdf, other]

Title: Effects of degree-frequency correlations on network synchronization: universality and full phase-locking

Per Sebastian Skardal, Jie Sun, Dane Taylor, Juan G. Restrepo

Comments: 6 pages, 5 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)

[47] arXiv:1208.4561 [pdf, other]

Title: Stationary and Traveling Wave States of the Kuramoto Model with an Arbitrary Distribution of Frequencies and Coupling Strengths

Dmytro Iatsenko, Spase Petkoski, Aneta Stefanovska, Peter V. E. McClintock

Comments: 5 pages, 1 figure

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)

[48] arXiv:1208.4593 [pdf, other]

Title: Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence" [arXiv:1201.3188]

Victor S. L'vov, Sergey V. Nazarenko

Comments: 4 pges, no figures

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech)

[49] arXiv:1208.4829 [pdf, other]

Title: A new 2D integrable system with a quartic second invariant

Hamad M. Yehia

Comments: Submitted to Journal of Physics A: Mathematical and Theoretical

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[50] arXiv:1208.5063 [pdf, other]

Title: An analytical formulation for roughness based on celular automata

Ismael V. L. Costa, Henrique A. Fernandes, Bernardo A. Mello, Fernando A. Oliveira

Subjects: Cellular Automata and Lattice Gases (nlin.CG)