Nonlinear Sciences

Authors and titles for April 2002

[51] arXiv:nlin/0204051 [pdf, other]

Title: To what extent can dynamical models describe statistical features of turbulent flows?

V. Carbone, R. Cavazzana, V. Antoni, L. Sorriso-Valvo, E. Spada, G. Regnoli, P. Giuliani, N. Vianello, F. Lepreti, R. Bruno, E. Martines, P. Veltri

Comments: 14 pages, 4 figures, in press on Europhys. Lett. (may 2002)

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

[52] arXiv:nlin/0204052 [pdf, other]

Title: Effects of small surface tension in Hele-Shaw multifinger dynamics: an analytical and numerical study

E. Paune, M. Siegel, J. Casademunt

Comments: 16 pages, 15 figures, submitted to Phys. Rev E

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

[53] arXiv:nlin/0204053 [pdf, other]

Title: Generalized Benney Lattice and the Heavenly Equation

A. Constandache, Ashok Das, Ziemowit Popowicz

Comments: 10 pages

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

[54] arXiv:nlin/0204054 [pdf, other]

Title: Partition functions for Matrix Models and Isomonodromic Tau functions

M. Bertola, B. Eynard, J. Harnad

Comments: 17 pages, one figure, uses this http URL, added references, typos removed Version accepted

Journal-ref: J.Phys.A36:3067-3084,2003

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

[55] arXiv:nlin/0204055 [pdf, other]

Title: Scar functions in the Bunimovich Stadium billiard

Gabriel Carlo, Eduardo Vergini, Pablo Lustemberg

Comments: 21 pages, 10 figures

Subjects: Chaotic Dynamics (nlin.CD)

[56] arXiv:nlin/0204056 [pdf, other]

Title: Algebraic decay in hierarchical graphs

Felipe Barra, Thomas Gilbert

Comments: 15 pages, 4 figures, 1 table. To appear in J. Stat. Phys

Subjects: Chaotic Dynamics (nlin.CD)

[57] arXiv:nlin/0204057 [pdf, other]

Title: Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems

Yuzuru Sato, James P. Crutchfield

Comments: 4 pages, 3 figures, this http URL updated references, corrected typos, changed content

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

[58] arXiv:nlin/0204058 [pdf, other]

Title: Higher-order solitons in the N-wave system

Valery S. Shchesnovich, Jianke Yang

Comments: Revised version; 33 pages; 5 figures; to appear in Studies of Applied Mathematics

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

[59] arXiv:nlin/0204059 [pdf, other]

Title: Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations

S.P.Kuznetsov, A.H.Osbaldestin

Comments: 6 pages, 2 tables

Subjects: Chaotic Dynamics (nlin.CD)

[60] arXiv:nlin/0204060 [pdf, other]

Title: Floquet Stability Analysis of Ott-Grebogi-Yorke and Difference Control

Jens Christian Claussen

Comments: 13 pages. To appear in New Journal of Physics

Journal-ref: New Journal of Physics 10, 063006 (2008)

Subjects: Chaotic Dynamics (nlin.CD)

[61] arXiv:nlin/0204061 [pdf, other]

Title: Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems

Arnd Bäcker

Comments: 50 pages, 29 postscript figures. Some of the figures are in reduced quality only, see this http URL for better versions. On this http URL the full Python programs to compute eigenvalues of quantum maps and spacings distributions can be found

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

[62] arXiv:nlin/0204062 [pdf, other]

Title: Boolean Dynamics with Random Couplings

Leo Kadanoff, Susan Coppersmith, Maximino Aldana

Comments: 69 pages, 16 figures, Submitted to Springer Applied Mathematical Sciences Series

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Cellular Automata and Lattice Gases (nlin.CG)

[63] arXiv:nlin/0204063 [pdf, other]

Title: Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies

Ashok Das, Sergey Krivonos, Ziemowit Popowicz

Comments: 10 pages

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

[64] arXiv:nlin/0204064 [pdf, other]

Title: Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto, Holger Schanz

Comments: color figures

Journal-ref: Phys. Rev. Lett. 89 (2002) 154101

Subjects: Chaotic Dynamics (nlin.CD)

[65] arXiv:nlin/0204065 [pdf, other]

Title: Scattering of a solitary pulse on a local defect or breather

Panayotis G. Kevrekidis (Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA), Boris A. Malomed (Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel), H.E. Nistazakis, Dimitri J. Frantzeskakis (Department of Physics, University of Athens, Athens, Greece), A. Saxena, A.R. Bishop (Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA)

Comments: a revtex text file and 13 pdf files with figures. Physica Scripta, in press

Subjects: Pattern Formation and Solitons (nlin.PS)

[66] arXiv:nlin/0204066 [pdf, other]

Title: On the Algebraic Bethe Ansatz for XXX spin chain: creation operators "beyond the equator"

A.E. Kovalsky, G.P. Pronko

Comments: LaTeX, 4 pages

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

[67] arXiv:nlin/0204067 [pdf, other]

Title: Spatial solitons in a medium composed of self-focusing and self-defocusing layers

Javid Atai (School of Electrical and Information Engineering, University of Sydney), Boris A. Malomed (Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University)

Comments: a latex text file and 9 eps files with figures. Physics Letters A, in press

Subjects: Pattern Formation and Solitons (nlin.PS)

[68] arXiv:nlin/0204068 [pdf, other]

Title: Relaxation and Noise in Chaotic Systems

Shmuel Fishman, Saar Rahav

Comments: Lecture notes, Ladek winter school. 23 pages, 14 figures

Subjects: Chaotic Dynamics (nlin.CD)

[69] arXiv:nlin/0204069 [pdf, other]

Title: Stretching and Curvature of Material Lines in Chaotic Flows

Jean-Luc Thiffeault

Comments: 14 pages, 9 figures. RevTeX4 with psfrag macros

Journal-ref: Physica D 198 (3-4), 169-181 (2004)

Subjects: Chaotic Dynamics (nlin.CD); Fluid Dynamics (physics.flu-dyn); Plasma Physics (physics.plasm-ph)

[70] arXiv:nlin/0204070 [pdf, other]

Title: The space of initial conditions for linearisable mappings

T. Takenawa, M. Eguchi, B. Grammaticos, Y. Ohta, A. Ramani, J. Satsuma

Comments: 20 pages, 8 figures

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

[71] arXiv:astro-ph/0204058 (cross-list from astro-ph) [pdf, other]

Title: Luminous matter may arise from a turbulent plasma state of the early universe

Per Bak, Maya Paczuski

Subjects: Astrophysics (astro-ph); Condensed Matter (cond-mat); Chaotic Dynamics (nlin.CD)

[72] arXiv:astro-ph/0204144 (cross-list from astro-ph) [pdf, other]

Title: Scintillations and Levy flights through the interstellar medium

Stanislav Boldyrev (ITP, UCSB), Carl Gwinn (UCSB)

Comments: 12 pages, including 2 figures

Journal-ref: Astrophys.J.584:791-796,2003

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

[73] arXiv:cond-mat/0204041 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems

I. Varga (1,2), J. Pipek (2) ((1) Philipps University Marburg, Germany, (2) Budapest University of Technology and Economics, Hungary)

Comments: 8 pages with 2 embedded eps figures, RevTex4, AmsMath included, submitted to PRB

Journal-ref: Phys. Rev. E 68, 026202 (2003)

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Chaotic Dynamics (nlin.CD); Quantum Physics (quant-ph)

[74] arXiv:cond-mat/0204111 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Principles of statistical mechanics of random networks

S.N. Dorogovtsev, J.F.F. Mendes, A.N. Samukhin

Comments: 14 pages, an extended version

Journal-ref: Nucl.Phys. B666 (2003) 396-416

Subjects: Statistical Mechanics (cond-mat.stat-mech); Networking and Internet Architecture (cs.NI); High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Adaptation and Self-Organizing Systems (nlin.AO)

[75] arXiv:cond-mat/0204139 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Electoral surveys influence on the voting processes: a cellular automata model

S. G. Alves, N. M. Oliveira Neto, M. L. Martins

Comments: 15 pages, 9 figures

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

[76] arXiv:cond-mat/0204254 (cross-list from cond-mat.mes-hall) [pdf, other]

Title: Aharonov-Bohm Effect in the Quantum Hall Regime and fingering instability

P. Wiegmann

Comments: Based on the lecture given at ``Statistical Field Theory'', 18-23 June 2001, Como, Italy; 14 pages, 1 figure

Journal-ref: Statistical Field Theories, pp. 337-349, A. Cappelli and G. Mussardo (eds.), 2002 Kluwer Academic Publishers

Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Pattern Formation and Solitons (nlin.PS)

[77] arXiv:cond-mat/0204264 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: The fractality of the relaxation modes in deterministic reaction-diffusion systems

I. Claus, P. Gaspard

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

[78] arXiv:cond-mat/0204266 (cross-list from cond-mat.soft) [pdf, other]

Title: Symmetry breaking and coarsening of clusters in a prototypical driven granular gas

Eli Livne, Baruch Meerson, Pavel V. Sasorov

Comments: 5 pages, 4 eps figures

Subjects: Soft Condensed Matter (cond-mat.soft); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[79] arXiv:cond-mat/0204275 (cross-list from cond-mat.soft) [pdf, other]

Title: Sudden Collapse of a Granular Cluster

Devaraj van der Meer, Ko van der Weele, Detlef Lohse

Comments: 4 pages, 4 figures. Figure quality has been reduced in order to decrease file-size

Journal-ref: Phys. Rev. Lett. 88, 174302 (2002)

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

[80] arXiv:cond-mat/0204358 (cross-list from cond-mat.mes-hall) [pdf, other]

Title: Cohesion and Stability of Metal Nanowires: A Quantum Chaos Approach

C. A. Stafford, F. Kassubek, H. Grabert

Comments: 14 pages, 11 figures, lecture given at the Symposium on 30 Years of the Gutzwiller Trace Formula, German Physical Society Meeting, Hamburg, March 28, 2001

Journal-ref: Adv. Solid State Phys., vol. 41, p. 497 (2001)

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

[81] arXiv:cond-mat/0204371 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Statistics of finite-time Lyapunov exponents in a random time-dependent potential

H. Schomerus, M. Titov

Comments: 10 pages, 3 figures

Journal-ref: Phys. Rev. E 66, 066207 (2002)

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Chaotic Dynamics (nlin.CD)

[82] arXiv:cond-mat/0204406 (cross-list from cond-mat.soft) [pdf, other]

Title: Faraday patterns in Bose-Einstein condensates. Amplitude equation for rolls in the parametrically driven, damped Gross-Pitaevskii equation

German J. de Valcarcel

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

[83] arXiv:cond-mat/0204407 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Out-of-equilibrium states as statistical equilibria of an effective dynamics

Julien Barre', Freddy Bouchet, Thierry Dauxois, Stefano Ruffo

Comments: 4 figures

Journal-ref: Physical Review Letters 89, 110601 (2002)

Subjects: Statistical Mechanics (cond-mat.stat-mech); Pattern Formation and Solitons (nlin.PS)

[84] arXiv:cond-mat/0204432 (cross-list from cond-mat.str-el) [pdf, other]

Title: Electrostatic analogy for integrable pairing force Hamiltonians

L. Amico, A. Di Lorenzo, A. Mastellone, A. Osterloh, R. Raimondi

Comments: 14 pages, 6 figures, revtex4. Minor changes

Journal-ref: Annals Phys.299:228-250,2002

Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI); Nuclear Theory (nucl-th)

[85] arXiv:cond-mat/0204470 (cross-list from cond-mat) [pdf, other]

Title: New series of integrable vertex models through a unifying approach

Anjan Kundu

Comments: Latex, 9 pages, 1 figure; version to be published in J. Phys.A vol.35 (2002) L --

Journal-ref: J.Phys. A35 (2002) L447-454

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

[86] arXiv:cond-mat/0204474 (cross-list from cond-mat.mtrl-sci) [pdf, other]

Title: Branching of negative streamers in free flight

Andrea Rocco, Ute Ebert, Willem Hundsdorfer

Comments: 4 pages, 3 figures

Journal-ref: Phys. Rev. E 66, 035102(R) (2002)

Subjects: Materials Science (cond-mat.mtrl-sci); Pattern Formation and Solitons (nlin.PS); Plasma Physics (physics.plasm-ph)

[87] arXiv:cond-mat/0204492 (cross-list from cond-mat) [pdf, other]

Title: Chaotic Dynamics of Forest Fires

K. Malarz, S. Kaczanowska, K. Kulakowski

Comments: 9 pages, 10 figures

Journal-ref: Frontiers on Nonlinear Dynamics 3, 334-343 (2004)

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

[88] arXiv:cond-mat/0204495 (cross-list from cond-mat) [pdf, other]

Title: Generation of new classes of integrable quantum and statistical models

Anjan Kundu

Comments: Latex, 9 pages + 1 figure (eps), Invited talk at Statphys-Kolkata IV

Subjects: Condensed Matter (cond-mat); Exactly Solvable and Integrable Systems (nlin.SI)

[89] arXiv:cond-mat/0204509 (cross-list from cond-mat) [pdf, other]

Title: Are Forest Fires Predictable?

K. Malarz, S. Kaczanowska, K. Kulakowski

Comments: 13 pages, 13 figures

Journal-ref: Int. J. Mod. Phys. C13 (2002) 1017

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

[90] arXiv:cond-mat/0204517 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Faraday patterns in Bose-Einstein condensates

Kestutis Staliunas, Stefano Longhi, German J. de Valcarcel

Comments: submitted to this http URL

Subjects: Statistical Mechanics (cond-mat.stat-mech); Pattern Formation and Solitons (nlin.PS)

[91] arXiv:cond-mat/0204562 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry

Joseph Wakeling

Comments: 10 pages, 5 figures. Version accepted for publication in Physica A

Journal-ref: Physica A 325 (2003) 561-569

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Neurons and Cognition (q-bio.NC)

[92] arXiv:cond-mat/0204584 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Does the Boltzmann principle need a dynamical correction?

Artur B. Adib

Comments: REVTeX 4, 10 pages, 2 figures. Accepted to J. Stat. Phys

Journal-ref: J. Stat. Phys. 117, 581 (2004)

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

[93] arXiv:hep-ph/0204245 (cross-list from hep-ph) [pdf, other]

Title: Exact resolution of the Baxter equation for reggeized gluon interactions

H. J. de Vega, L. N. Lipatov

Comments: LaTex, 42 pages, 8 .ps figures. Expanded and improved version

Journal-ref: Phys.Rev. D66 (2002) 074013

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

[94] arXiv:hep-th/0204007 (cross-list from hep-th) [pdf, other]

Title: XX Heisenberg Spin Chain and an Example of Path Integral with "Automorphic" Boundary Conditions

Cyril Malyshev

Comments: 17 pages, LaTeX

Journal-ref: Theor.Math.Phys. 136 (2003) 1143-1154

Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[95] arXiv:hep-th/0204039 (cross-list from hep-th) [pdf, other]

Title: Quantum vs Classical Integrability in Calogero-Moser Systems

E. Corrigan, R. Sasaki

Comments: LaTeX2e with amsfonts, 63 pages, no figures

Journal-ref: J.Phys.A35:7017-7062,2002

Subjects: High Energy Physics - Theory (hep-th); Condensed Matter (cond-mat); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[96] arXiv:hep-th/0204124 (cross-list from hep-th) [pdf, other]

Title: Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum

S.E.Derkachov, G.P.Korchemsky, J.Kotanski, A.N.Manashov

Comments: 57 pages, Latex style, 10 figures; discussion in sections 5 and 6 extended, references and comment added

Journal-ref: Nucl.Phys. B645 (2002) 237-297

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

[97] arXiv:hep-th/0204183 (cross-list from hep-th) [pdf, other]

Title: High Energy QCD: Stringy Picture from Hidden Integrability

A. Gorsky, I.I. Kogan, G. Korchemsky

Comments: 37 pages, 3 figures

Journal-ref: JHEP 0205:053,2002

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

[98] arXiv:hep-th/0204246 (cross-list from hep-th) [pdf, other]

Title: The solution of a chiral random matrix model with complex eigenvalues

G. Akemann

Comments: 17 pages, 4 figures

Journal-ref: J.Phys.A36:3363,2003

Subjects: High Energy Physics - Theory (hep-th); Condensed Matter (cond-mat); Chaotic Dynamics (nlin.CD)

[99] arXiv:math-ph/0204001 (cross-list from math-ph) [pdf, other]

Title: Distribution of the first particle in discrete orthogonal polynomial ensembles

Alexei Borodin, Dmitriy Boyarchenko

Comments: 41 pages

Journal-ref: Commun.Math.Phys. 234 (2003) 287-338

Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th); Classical Analysis and ODEs (math.CA); Exactly Solvable and Integrable Systems (nlin.SI)

[100] arXiv:math-ph/0204018 (cross-list from math-ph) [pdf, other]

Title: A semiclassical Egorov theorem and quantum ergodicity for matrix valued operators

Jens Bolte, Rainer Glaser

Journal-ref: Commun. Math. Phys. 247 (2004) 391-419

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