Nonlinear Sciences

Authors and titles for March 2002

[1] arXiv:nlin/0203001 [pdf, other]

Title: Interaction of Coupled Higher Order Nonlinear SCHR\"Odinger Equation Solitons

Abhijit Borah, Sasanka Ghosh, Sudipta Nandy

Comments: 6 pages, 4 figures, revtex4

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

[2] arXiv:nlin/0203002 [pdf, other]

Title: Excitation of travelling multibreathers in anharmonic chains

Ramaz Khomeriki, Stefano Lepri, Stefano Ruffo

Comments: To appear in Physica D (2002)

Journal-ref: Physica D 168-169, 152 (2002)

Subjects: Pattern Formation and Solitons (nlin.PS)

[3] arXiv:nlin/0203003 [pdf, other]

Title: Integrable tops and non-commutative torus

M.Olshanetsky

Comments: 8 pages, this http URL, Contribution in Proc. of Int. Workshop ``Supersymmetries and Quantum Symmetries'', Sept. 21-25, 2001, Karpacz, Poland

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th)

[4] arXiv:nlin/0203004 [pdf, other]

Title: Broken symmetries and pattern formation in two-frequency forced Faraday waves

Jeff Porter, Mary Silber

Comments: 4 pages, 6 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[5] arXiv:nlin/0203005 [pdf, other]

Title: Synergetic System Analysis for the Delay-Induced Hopf Bifurcation in the Wright Equation

Michael Schanz, Axel Pelster

Comments: Author Information under this http URL and this http URL Latest update of paper also at this http URL

Journal-ref: SIAM Journal on Applied Dynamical Systems 2, 277-296 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:nlin/0203006 [pdf, other]

Title: Lax pair formulation of the N=4 Toda chain (KdV) hierarchy in N=4 superspace

F. Delduc, A.S. Sorin

Comments: LaTex, 21 pages

Journal-ref: Nucl.Phys. B631 (2002) 403-425

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[7] arXiv:nlin/0203007 [pdf, other]

Title: Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde

Darryl D. Holm, Martin F. Staley

Comments: 15 pages, 8 figures. For this replacement of the original submission, we: (1) Introduced key explanations that clarify the differences between Figs 1 and 2, versus 3 and 4. (2) Expanded the introduction to provide added motivation and precise definitions. (3) Added section and subsection headings to make the plan of the paper more evident. (4) Added a brief summary

Subjects: Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)

[8] arXiv:nlin/0203008 [pdf, other]

Title: Large Deviations and a Fluctuation Symmetry for Chaotic Homeomorphisms

Christian Maes, Evgeny Verbitskiy

Journal-ref: Comm. Math. Phys. 233, 137 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[9] arXiv:nlin/0203009 [pdf, other]

Title: Higher-order hbar corrections in the semiclassical quantization of chaotic billiards

K. Weibert, J. Main, G. Wunner

Comments: 14 pages, 6 figures, accepted for publication in Eur. Phys. J. D

Journal-ref: Eur. Phys. J. D 19 (2002) 379

Subjects: Chaotic Dynamics (nlin.CD)

[10] arXiv:nlin/0203010 [pdf, other]

Title: Possibilities of the Discrete Fourier Transform for Determining the Order-Chaos Transition in a Dynamical System

Carlos R. Fadragas, Juan V. Lorenzo-Ginori, Ruben Orozco-Morales

Comments: 14pages, 6figures

Subjects: Chaotic Dynamics (nlin.CD)

[11] arXiv:nlin/0203011 [pdf, other]

Title: Geometric discretization of the Koenigs nets

Adam Doliwa

Comments: 17 pages, 2 figures; some spelling and typing errors corrected

Journal-ref: J. Math. Phys. 44 (2003) 2234-2249

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Differential Geometry (math.DG)

[12] arXiv:nlin/0203012 [pdf, other]

Title: Decentralization as Organizing Principle of Emergent Urban Structures

Rainer E. Zimmermann

Comments: Contribution to the 2002 DPG Spring Conference (Sociophysics Section, AKSOE, Regensburg, 11-15 March, Subsection 14)

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

[13] arXiv:nlin/0203013 [pdf, other]

Title: Anomalous and dimensional scaling in anisotropic turbulence

L. Biferale, I. Daumont, A. Lanotte, F. Toschi

Comments: 4 pages, 3 figures

Subjects: Chaotic Dynamics (nlin.CD)

[14] arXiv:nlin/0203014 [pdf, other]

Title: A Laplace ladder of discrete Laplace equations

Maciej Nieszporski

Comments: 12 pages, presented on EuroWorkshop "Discrete Systems and Integrability" Cambridge 2001

Journal-ref: Theor. Math. Phys. 133 (2002) 1576-1584.

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

[15] arXiv:nlin/0203015 [pdf, other]

Title: Semiclassical theory of spin-orbit interactions using spin coherent states

M. Pletyukhov, Ch. Amann, M. Mehta, M. Brack

Comments: LaTeX (RevTeX), 4 pages, 2 figures, accepted for Physical Review Letters; final version (v2) for publication with minor editorial changes

Journal-ref: Phys.Rev.Lett.89:116601,2002

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

[16] arXiv:nlin/0203016 [pdf, other]

Title: One-fluid description of turbulently flowing suspension

Victor S. L'vov, Anna Pomyalov

Comments: PRL submitted, 4 pages, 3 figures, included

Subjects: Chaotic Dynamics (nlin.CD)

[17] arXiv:nlin/0203017 [pdf, other]

Title: Different regimes of synchronization in nonidentical time-delayed maps

Cristina Masoller, Damián H. Zanette

Comments: 11 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[18] arXiv:nlin/0203018 [pdf, other]

Title: Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition

Fred Cooper, Avinash Khare, Uday Sukhatme

Comments: 19 pages, 4 figures

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

[19] arXiv:nlin/0203019 [pdf, other]

Title: Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas

Peter Grassberger, Walter Nadler, Lei Yang

Comments: 4 pages (incl. 5 figures), RevTeX

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

[20] arXiv:nlin/0203020 [pdf, other]

Title: Nonlinearity effects in the kicked oscillator

Roberto Artuso, Laura Rebuzzini

Comments: 4 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD)

[21] arXiv:nlin/0203021 [pdf, other]

Title: Construction of particular solutions to nonlinear equations of Mathematical Physics by using matrix algebraic equation

A.I.Zenchuk

Comments: 17 pages

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

[22] arXiv:nlin/0203022 [pdf, other]

Title: Parry measure and the topological entropy of chaotic repellers embedded within chaotic attractors

Hrvoje Buljan, Vladimir Paar

Comments: Submitted to Physica D

Subjects: Chaotic Dynamics (nlin.CD)

[23] arXiv:nlin/0203023 [pdf, other]

Title: Periodic orbit quantization of chaotic systems with strong pruning

K. Weibert, J. Main, G. Wunner

Comments: 9 pages, 3 figures, submitted to Phys. Lett. A

Journal-ref: Phys. Lett. A 297 (2002) 87

Subjects: Chaotic Dynamics (nlin.CD)

[24] arXiv:nlin/0203024 [pdf, other]

Title: Chaos and Shadowing Lemma for Autonomous Systems of Infinite Dimensions

Yanguang Charles Li

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

[25] arXiv:nlin/0203025 [pdf, other]

Title: Group theory approach to combination tones

Tadeusz Ziebakowski

Comments: 12 pages, submitted to JASA

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Group Theory (math.GR); Biological Physics (physics.bio-ph)

[26] arXiv:nlin/0203026 [pdf, other]

Title: Moving discrete breathers in a Klein--Gordon chain with an impurity

J. Cuevas, F. Palmero, J.F.R. Archilla, F.R. Romero

Comments: 6 pages, 6 figures

Journal-ref: J. Phys A: Math. Gen. 35 (2002) 10519

Subjects: Pattern Formation and Solitons (nlin.PS)

[27] arXiv:nlin/0203027 [pdf, other]

Title: The autocorrelation function for spectral determinants of quantum graphs

Gregor Tanner

Comments: 10 pages, 2 figures

Subjects: Chaotic Dynamics (nlin.CD); Quantum Physics (quant-ph)

[28] arXiv:nlin/0203028 [pdf, other]

Title: Linearisable third order ordinary differential equations and generalised Sundman transformations

N. Euler, T. Wolf, P.G.L. Leach, M. Euler

Comments: 33 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Classical Analysis and ODEs (math.CA)

[29] arXiv:nlin/0203029 [pdf, other]

Title: The extended Weyl group $\widetilde{W}(D_5^{(1)})$ as an extension of KNY's birational representation of $\widetilde{W}(A_1^{(1)}\times A_3^{(1)})$

Tomoyuki Takenawa

Comments: 13 pages, 1 figure

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

[30] arXiv:nlin/0203030 [pdf, other]

Title: Baxter Q-operators for integrable DST chain

A.E. Kovalsky, G.P. Pronko

Comments: LaTeX, 12 pages, minor changes in the text, references added

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

[31] arXiv:nlin/0203031 [pdf, other]

Title: The Lyapunov stability of first order dynamic equations with respect to time-dependent Riemannian metrics. An example

G.Sardanashvily

Comments: 3 pages

Subjects: Chaotic Dynamics (nlin.CD)

[32] arXiv:nlin/0203032 [pdf, other]

Title: Phase-locked and phase drift solutions of phase oscillators with asymmetric coupling strengths

H. Yamada

Comments: LaTeX2e, 11 pages, 4 figures (17 EPS files)

Subjects: Pattern Formation and Solitons (nlin.PS)

[33] arXiv:nlin/0203033 [pdf, other]

Title: Semiclassical quantization with bifurcating orbits

T. Bartsch, J. Main, G. Wunner

Journal-ref: Phys. Rev. A 66, 033404 (2002)

Subjects: Chaotic Dynamics (nlin.CD)

[34] arXiv:nlin/0203034 [pdf, other]

Title: Emergence of local and global spatio-temporal order on the way to equipartition: A nonlinear field model

Marcelo Gleiser, Rafael C. Howell

Comments: This paper has been withdrawn. See hep-ph/0209176

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Condensed Matter (cond-mat); High Energy Physics - Phenomenology (hep-ph); Chaotic Dynamics (nlin.CD)

[35] arXiv:nlin/0203035 [pdf, other]

Title: Generalised Wigner surmise for 2x2 random matrices

P. Chau Huu-Tai, N. A. Smirnova, P. Van Isacker

Comments: 9 pages, 3 figures, accepted in J. Phys. A

Subjects: Chaotic Dynamics (nlin.CD)

[36] arXiv:nlin/0203036 [pdf, other]

Title: A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations

Ayse Karasu (Kalkanli), Atalay Karasu, S. Yu. Sakovich

Comments: 12 pages, final version

Journal-ref: Acta Appl. Math.83:85-94, 2004

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

[37] arXiv:nlin/0203037 [pdf, other]

Title: Adaptive Time-delay Hyperchaos Synchronization in Laser Diodes Subject to Optical Feedback

E.M.Shahverdiev, K.A.Shore

Comments: LaTex 9 pages

Subjects: Chaotic Dynamics (nlin.CD)

[38] arXiv:nlin/0203038 [pdf, other]

Title: Symbiotic Sympatric Speciation: Compliance with Interaction-driven Phenotype Differentiation from a Single Genotype

Kunihiko Kaneko

Comments: 39 pages including 8 figures with 2 color figs, uuencode + gziped Postscript file, submitted to Res. Population Ecology

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Statistical Mechanics (cond-mat.stat-mech); Biological Physics (physics.bio-ph); Populations and Evolution (q-bio.PE)

[39] arXiv:nlin/0203039 [pdf, other]

Title: Kinetic Origin of Heredity in a Replicating System with a Catalytic Network

Kunihiko Kaneko

Comments: 15 pages, to appear in J Biol. Phys

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Subcellular Processes (q-bio.SC)

[40] arXiv:nlin/0203040 [pdf, other]

Title: From Coupled Dynamical Systems to Biological Irreversibility

Kunihiko Kaneko

Comments: 26 pages, Adv. in Chem. Phys., in press

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Biological Physics (physics.bio-ph); Cell Behavior (q-bio.CB)

[41] arXiv:nlin/0203041 [pdf, other]

Title: Deformation and Recursion for the N=2 $\alpha=1$ Supersymmetric KdV-hierarchy

A.S. Sorin, P.H.M. Kersten

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

[42] arXiv:nlin/0203042 [pdf, other]

Title: Angular momentum localization in oval billiards

Jens U. Nockel

Comments: 3 figures, hyperlinks

Journal-ref: Physica Scripta T 90, 263 (2001)

Subjects: Chaotic Dynamics (nlin.CD)

[43] arXiv:nlin/0203043 [pdf, other]

Title: Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation

Michal Marvan

Comments: 10 pages, requires this http URL

Journal-ref: J. Phys. A: Math. Gen. 35 (2002) 9431-9439

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

[44] arXiv:nlin/0203044 [pdf, other]

Title: Inverse cascade in Charney-Hasegawa-Mima turbulence

G. Boffetta, F. De Lillo, S. Musacchio

Comments: 4 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD); Atmospheric and Oceanic Physics (physics.ao-ph)

[45] arXiv:nlin/0203045 [pdf, other]

Title: Some Applications of the Difference Analysis for Stochastic Systems

A. Yu. Shahverdian, A. V. Apkarian

Comments: 22pages

Subjects: Chaotic Dynamics (nlin.CD); Cellular Automata and Lattice Gases (nlin.CG)

[46] arXiv:nlin/0203046 [pdf, other]

Title: Entropy production of diffusion in spatially periodic deterministic systems

J. R. Dorfman (Department of Physics and Institute for Physical Science and Technology, University of Maryland, MD, USA)P. Gaspard (Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Brussels, Belgium)T. Gilbert (Department of Chemical Physics, The Weizmann Institute of Science, Rehovot, Israel)

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

[47] arXiv:nlin/0203047 [pdf, other]

Title: Nambu system associated with n-dimensional maps

J. Yamamoto

Comments: 8 pages

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

[48] arXiv:nlin/0203048 [pdf, other]

Title: Transitions to Measure Synchronization in Coupled Hamiltonian Systems

Xingang Wang, Gang Hu

Comments: 10 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS)

[49] arXiv:nlin/0203049 [pdf, other]

Title: Comment on ``Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map''

R.Klages (MPIPKS Dresden)

Comments: 4 pages (revtex) with 3 figures (postscript)

Journal-ref: Phys. Rev. E 66, 018201 (2002)

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

[50] arXiv:nlin/0203050 [pdf, other]

Title: M\"obius Symmetry of Discrete Time Soliton Equations

Jun-ichi Yamamoto

Comments: 21 pages, 4 figure, this http URL

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