Nonlinear Sciences

Authors and titles for August 2006

[1] arXiv:nlin/0608001 [pdf, other]

Title: The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit

Vivien Kirk (University of Auckland), Alastair M. Rucklidge (University of Leeds)

Comments: 43 pages, 14 figures. Full resolution version available on this http URL

Journal-ref: Dynamical Systems, Vol. 23, No. 1, March 2008, 43-74

Subjects: Chaotic Dynamics (nlin.CD)

[2] arXiv:nlin/0608002 [pdf, other]

Title: Symbolic Dynamics in a Matching Labour Market Model

Diana A. Mendes, Vivaldo M. Mendes, J. Sousa Ramos

Comments: 3 figures

Subjects: Chaotic Dynamics (nlin.CD)

[3] arXiv:nlin/0608003 [pdf, other]

Title: Chaos, Fractal and Quantum Poincare Recurrences in Diamagnetic Kepler Problem

A.Ugulava, L.Chotorlishvili, T.Kereselidze, V.Skrinnikov

Subjects: Chaotic Dynamics (nlin.CD)

[4] arXiv:nlin/0608004 [pdf, other]

Title: Energy evolution in time-dependent harmonic oscillator

Marko Robnik, Valery G. Romanovski

Comments: 26 pages, 5 figures

Journal-ref: Open Systems and Information Dynamics, Vol. 13, No. 2, p. 197-222 (2006)

Subjects: Chaotic Dynamics (nlin.CD); Exactly Solvable and Integrable Systems (nlin.SI)

[5] arXiv:nlin/0608005 [pdf, other]

Title: The Lyapunov stability of the N-soliton solutions in the Lax hierarchy of the Benjamin-Ono equation

Yoshimasa Matsuno

Comments: To appear in Journa of Mathematical Physics

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

[6] arXiv:nlin/0608006 [pdf, other]

Title: Thermal diffusion of solitons on anharmonic chains with long-range coupling

C.Brunhuber, F.G. Mertens, Y. Gaididei

Comments: 11 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[7] arXiv:nlin/0608007 [pdf, other]

Title: On application of Liouville type equations to constructing B\"acklund transformations

Dmitry K. Demskoi

Comments: 11 pages, no figures

Journal-ref: JNMP V.14, N. 1 (2007), 147-156

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

[8] arXiv:nlin/0608008 [pdf, other]

Title: Semiclassical universality of parametric spectral correlations

Jack Kuipers, Martin Sieber

Comments: 18 pages, no figures

Journal-ref: J. Phys. A 40 (2007) 935

Subjects: Chaotic Dynamics (nlin.CD); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[9] arXiv:nlin/0608009 [pdf, other]

Title: Lagrangian analysis of alignment dynamics for isentropic compressible magnetohydrodynamics

J. D. Gibbon, D. D. Holm

Comments: 12 pages, 2 figures, submitted to a Focus Issue of New Journal of Physics on "Magnetohydrodynamics and the Dynamo Problem" J-F Pinton, A Pouquet, E Dormy and S Cowley, editors

Subjects: Chaotic Dynamics (nlin.CD)

[10] arXiv:nlin/0608010 [pdf, other]

Title: Dispersionless integrable equations as coisotropic deformations. Extensions and reductions

B.G.Konopelchenko, F.Magri

Comments: 21 pages, misprints corrected

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Commutative Algebra (math.AC); Dynamical Systems (math.DS); Symplectic Geometry (math.SG)

[11] arXiv:nlin/0608011 [pdf, other]

Title: Geometric order parameter equations

Darryl D. Holm, Vakhtang Putkaradze

Comments: 10 pages, 3 figures. Submitted to Physical Review Letters

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Pattern Formation and Solitons (nlin.PS)

[12] arXiv:nlin/0608012 [pdf, other]

Title: Instability and Evolution of Nonlinearly Interacting Water Waves

P. K. Shukla, I. Kourakis, B. Eliasson, M. Marklund, L. Stenflo

Comments: 4 pages, 4 figures, to appear in Physical Review Letters

Journal-ref: Phys. Rev. Lett. 97, 094501 (2006)

Subjects: Chaotic Dynamics (nlin.CD)

[13] arXiv:nlin/0608013 [pdf, other]

Title: Computing fractal dimension in supertransient systems directly, fast and reliable

Romulus Breban, Helena E. Nusse

Comments: 6 pages, 3 figures

Subjects: Chaotic Dynamics (nlin.CD)

[14] arXiv:nlin/0608014 [pdf, other]

Title: Ambiguity in the Determination of the Free Energy for a Model of the Circle Map

Brian G. Kenny, Tony W. Dixon

Comments: 14 pages

Journal-ref: The ANZIAM Journal (2008), 50: 177-184

Subjects: Chaotic Dynamics (nlin.CD)

[15] arXiv:nlin/0608015 [pdf, other]

Title: Delayed-mutual coupling dynamics of lasers: scaling laws and resonances

T.W. Carr, I.B. Schwartz, Min-Young Kim, Rajarshi Roy

Comments: 26 pages 12 figures. SIAM J. Dynamical Systems, in press

Subjects: Chaotic Dynamics (nlin.CD)

[16] arXiv:nlin/0608016 [pdf, other]

Title: Statistical properties of the continuum Salerno model

M. Marklund, P. K. Shukla, R. Bingham, J. T. Mendonca

Comments: 3 pages, 2 figure, to appear in Physical Review A

Journal-ref: Phys. Rev. A 74, 045801 (2006)

Subjects: Chaotic Dynamics (nlin.CD)

[17] arXiv:nlin/0608017 [pdf, other]

Title: From nonassociativity to solutions of the KP hierarchy

Aristophanes Dimakis, Folkert Muller-Hoissen

Comments: 7 pages, 4 figures, International Colloquium 'Integrable Systems and Quantum Symmetries', Prague, 15-17 June 2006

Subjects: Pattern Formation and Solitons (nlin.PS); Adaptation and Self-Organizing Systems (nlin.AO)

[18] arXiv:nlin/0608018 [pdf, other]

Title: Multiple Hamiltonian structure of Bogoyavlensky-Toda lattices

Pantelis A. Damianou

Comments: 65 pages, 67 references

Journal-ref: Reviews in Mathematical Physics, 16, 175-241 (2004)

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

[19] arXiv:nlin/0608019 [pdf, other]

Title: Bifurcations and sudden current change in ensembles of classically chaotic ratchets

Anatole Kenfack, Sean Sweetnam, Arjendu K. Pattanayak

Comments: 8 pages, 9 figures

Subjects: Chaotic Dynamics (nlin.CD)

[20] arXiv:nlin/0608020 [pdf, other]

Title: Cryptanalysis of a chaotic block cipher with external key and its improved version

Chengqing Li, Shujun Li, Gonzalo Álvarez, Guanrong Chen, Kwok-Tung Lo

Comments: 14 pages, 2 figures, 1 table, formatted with this http URL

Journal-ref: Chaos, Solitons & Fractals, vol. 37, no. 1, pp. 299-307, 2008

Subjects: Chaotic Dynamics (nlin.CD); Cryptography and Security (cs.CR)

[21] arXiv:nlin/0608021 [pdf, other]

Title: Reliable and unreliable dynamics in driven coupled oscillators

Kevin K. Lin, Eric Shea-Brown, Lai-Sang Young

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

[22] arXiv:nlin/0608022 [pdf, other]

Title: Fluctuations and Transients in Quantum-Resonant Evolution

Itzhack Dana, Dmitry L. Dorofeev

Comments: REVTEX, 12 pages

Journal-ref: Physical Review E 74, 045201(R) (2006).

Subjects: Chaotic Dynamics (nlin.CD); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Atomic Physics (physics.atom-ph); Quantum Physics (quant-ph)

[23] arXiv:nlin/0608023 [pdf, other]

Title: Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities

E.P. Fitrakis, P. G. Kevrekidis, H. Susanto, D.J. Frantzeskakis

Comments: 15 pages, 5 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[24] arXiv:nlin/0608024 [pdf, other]

Title: Long-range effects on superdiffusive solitons in anharmonic chains

C. Brunhuber, F.G. Mertens, Y. Gaididei

Comments: 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[25] arXiv:nlin/0608025 [pdf, other]

Title: Exact energy distribution function in time-dependent harmonic oscillator

Marko Robnik, Valery G. Romanovski, Hans-Juergen Stoeckmann

Comments: 5 pages

Journal-ref: J. Phys. A: Math. Gen. 39 (2006) L551-L554

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Chaotic Dynamics (nlin.CD)

[26] arXiv:nlin/0608026 [pdf, other]

Title: On determination of statistical properties of spectra from parametric level dynamics

Miroslaw Hardej, Marek Kus, Cezary Gonera, Piotr Kosinski

Comments: 9 pages without figures

Subjects: Chaotic Dynamics (nlin.CD)

[27] arXiv:nlin/0608027 [pdf, other]

Title: Non-Reversible Evolution of Quantum Chaotic System. Kinetic Description

L. Chotorlishvili, V. Skrinnikov

Subjects: Chaotic Dynamics (nlin.CD)

[28] arXiv:nlin/0608028 [pdf, other]

Title: Universality in Complex Networks: Random Matrix Analysis

Jayendra N. Bandyopadhyay, Sarika Jalan

Comments: 4+ pages, 4 figures, to appear in PRE, major change in the paper including title

Journal-ref: Phys. Rev. E, Vol. 76, 026109 (2007)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Other Condensed Matter (cond-mat.other); Statistical Mechanics (cond-mat.stat-mech); Computational Physics (physics.comp-ph); Molecular Networks (q-bio.MN); Other Quantitative Biology (q-bio.OT)

[29] arXiv:nlin/0608029 [pdf, other]

Title: New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems

Maxim V. Pavlov

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

[30] arXiv:nlin/0608030 [pdf, other]

Title: On exclusion type inhomogeneous interacting particle systems

Michael Blank

Comments: 12 pages, 4 figures

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Statistical Mechanics (cond-mat.stat-mech)

[31] arXiv:nlin/0608031 [pdf, other]

Title: Nodal domains on isospectral quantum graphs: the resolution of isospectrality ?

Ram Band, Talia Shapira, Uzy Smilansky

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

[32] arXiv:nlin/0608032 [pdf, other]

Title: On the problem of catastrophic relaxation in superfluid 3-He-B

Yuriy M. Bunkov, Victor S. L'vov, Grigory E. Volovik

Comments: 5 pages, 1 fig. included, JETP Lett. style, submitted to JETP Lett. as response to Comment cond-mat/0606760

Journal-ref: Pis'ma ZhETF 84 (2006) 349-353; JETP Lett. 84 (2006) 289-293

Subjects: Chaotic Dynamics (nlin.CD); Soft Condensed Matter (cond-mat.soft)

[33] arXiv:nlin/0608033 [pdf, other]

Title: Polarized solitons in a cubic-quintic medium

Sergei O. Elyutin

Comments: 11 pages, 9 figures, PDF only

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Pattern Formation and Solitons (nlin.PS)

[34] arXiv:nlin/0608034 [pdf, other]

Title: Persistent localized states for a chaotically mixed bistable reaction

Stephen M. Cox

Comments: 6 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[35] arXiv:nlin/0608035 [pdf, other]

Title: Synchronization in Gradient Networks

Xingang Wang, Ying-Cheng Lai, Choy Heng Lai

Comments: 4 Figures

Subjects: Chaotic Dynamics (nlin.CD)

[36] arXiv:nlin/0608036 [pdf, other]

Title: Local Conservation Laws and the Hamiltonian Formalism for the Toda Hierarchy Revisited

Fritz Gesztesy, Helge Holden

Comments: 30 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Pattern Formation and Solitons (nlin.PS)

[37] arXiv:nlin/0608037 [pdf, other]

Title: On the initial value problem of a periodic box-ball system

Jun Mada, Makoto Idzumi, Tetsuji Tokihiro

Comments: 9 pages, 2 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Cellular Automata and Lattice Gases (nlin.CG)

[38] arXiv:nlin/0608038 [pdf, other]

Title: On the Linearization of Second-Order Differential and Difference Equations

Vladimir Dorodnitsyn

Comments: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL

Journal-ref: SIGMA 2 (2006), 065, 15 pages

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

[39] arXiv:nlin/0608039 [pdf, other]

Title: Coupled Modified KP Hierarchy and Its Dispersionless Limit

Takashi Takebe, Lee-Peng Teo

Comments: This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL

Journal-ref: SIGMA 2 (2006), 072, 30 pages

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

[40] arXiv:nlin/0608040 [pdf, other]

Title: Short wave length approximation of a boundary integral operator for homogeneous and isotropic elastic bodies

Gregor Tanner, Niels Sondergaard

Comments: 8 pages, 1 figure

Subjects: Chaotic Dynamics (nlin.CD)

[41] arXiv:nlin/0608041 [pdf, other]

Title: On pattern structures of the N-soliton solution of the discrete KP equation over a finite field

Mariusz Bialecki, Jonathan J C Nimmo

Comments: 12 pages, 3 figures

Journal-ref: J. Phys. A: Math. Theor. 40 (2007), 949-959.

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Pattern Formation and Solitons (nlin.PS)

[42] arXiv:nlin/0608042 [pdf, other]

Title: Violations of local equilibrium and stochastic thermostats

Kenichiro Aoki

Comments: 5pp, 3 figs

Subjects: Chaotic Dynamics (nlin.CD)

[43] arXiv:nlin/0608043 [pdf, other]

Title: Artificial Neural Network to predict mean monthly total ozone in Arosa, Switzerland

Surajit Chattopadhyay, Goutami Bandyopadhyay

Comments: 22 pages, 14 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO)

[44] arXiv:nlin/0608044 [pdf, other]

Title: Optically Controlled Jitter Generator

Julia Manasson, V. A. Manasson

Comments: 7 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD)

[45] arXiv:nlin/0608045 [pdf, other]

Title: Heavy particle concentration in turbulence at dissipative and inertial scales

J. Bec, L. Biferale, M. Cencini, A. Lanotte, S. Musacchio, F. Toschi

Comments: 4 RevTeX pgs + 4 color Figures included, 1 figure eliminated second part of the paper completely revised

Journal-ref: Phys. Rev. Lett. 98, 084502 (2007)

Subjects: Chaotic Dynamics (nlin.CD)

[46] arXiv:nlin/0608046 [pdf, other]

Title: Comparative Study of Different Discretizations of the $\phi^4$ Model

Ishani Roy, Sergey V. Dmitriev, Panayotis G. Kevrekidis, Avadh Saxena

Comments: 21 pages, 16 figures. Submitted for publication

Journal-ref: Phys.Rev.E76:026601,2007

Subjects: Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[47] arXiv:nlin/0608047 [pdf, other]

Title: Domain Wall and Periodic Solutions of Coupled phi4 Models in an External Field

Avinash Khare, Avadh Saxena

Comments: 35 pages, no figures (J. Math. Phys. 2006)

Journal-ref: J.Math.Phys. 47 (2006) 092902

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Pattern Formation and Solitons (nlin.PS)

[48] arXiv:nlin/0608048 [pdf, other]

Title: Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations

Fred Cooper, Avinash Khare, Avadh Saxena

Comments: 12 pages, no figures (submitted to Physica D)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Pattern Formation and Solitons (nlin.PS)

[49] arXiv:nlin/0608049 [pdf, other]

Title: Interpreting non-random signatures in biomedical signals with Lempel-Ziv complexity

Radhakrishnan Nagarajan

Comments: 12 Pages, 2 Figures

Subjects: Chaotic Dynamics (nlin.CD)

[50] arXiv:nlin/0608050 [pdf, other]

Title: Vacuum response to cosmic stretching: accelerated Universe and prevention of singularity

E. A. Novikov

Comments: Gravitational collapse and prevention of singularity is considered additionally to the problem of accelerated expansion of Universe (with the same modification of the general relativity as in the previous version of the paper). Correction is made for the epoch of ultrarelativistic equation of state. 7 pages

Subjects: Pattern Formation and Solitons (nlin.PS)