Nonlinear Sciences

Authors and titles for December 2002

[1] arXiv:nlin/0212001 [pdf, other]

Title: A Generalization of Chaitin's Halting Probability \Omega and Halting Self-Similar Sets

Kohtaro Tadaki

Comments: 29 pages, LaTeX2e, AMSLaTeX1.2, \usepackage{a4wide}, no figures

Journal-ref: Hokkaido Mathematical Journal, Vol. 31, No. 1, February 2002, 219-253

Subjects: Chaotic Dynamics (nlin.CD); Computational Complexity (cs.CC)

[2] arXiv:nlin/0212002 [pdf, other]

Title: Nonlinear superposition formula for N=1 supersymmetric KdV Equation

Q. P. Liu, Y. F. Xie

Comments: 6 pages, LaTeX, everthing is reformed into super fields

Journal-ref: Physics Letters A 325 (2004) 139-143

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

[3] arXiv:nlin/0212003 [pdf, other]

Title: Accelerator modes of square well system

R. Sankaranarayanan, V.B. Sheorey

Comments: 7 pages, 5 figures, revtex4

Journal-ref: Phys. Lett. A Vol. 338, 288-296 (2005)

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

[4] arXiv:nlin/0212004 [pdf, other]

Title: Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models

Anjan Kundu

Comments: Latex, 20 pages, 2 figures, v3, final version to be published in J. Math Phys

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

[5] arXiv:nlin/0212005 [pdf, other]

Title: Semiclassical quantization of maps with a variable time scale

A. Iomin, S. Fishman, G.M. Zaslavsky

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:nlin/0212006 [pdf, other]

Title: Avoided intersections of nodal lines

Alejandro G. Monastra, Uzy Smilansky, Sven Gnutzmann

Comments: 12 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[7] arXiv:nlin/0212007 [pdf, other]

Title: New Integrable Family in the n-Dimensional Homogeneous Lotka-Volterra Systems with Abelian Lie Algebra

Kenji Imai, Yoshihiro Hirata

Comments: 6 pages, AMS Latex

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

[8] arXiv:nlin/0212008 [pdf, other]

Title: Nodal domain distributions for quantum maps

J. P. Keating, F. Mezzadri, A. G. Monastra

Comments: 7 pages, 2 figures. Second version: minor corrections

Journal-ref: J. Phys. A: Math. Gen., Vol. 36 (2003), L53-L59

Subjects: Chaotic Dynamics (nlin.CD)

[9] arXiv:nlin/0212009 [pdf, other]

Title: Interaction of a soliton with a localized gain in a fiber Bragg grating

William C.K. Mak, Pak L. Chu (Optoelectronic Research Centre, Department of Electronic Engineering, City University of Hong Kong, Hong Kong), Boris A. Malomed (Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel)

Comments: a revtex text file and 17 ps files with figures; submitted to Physical Review E

Subjects: Pattern Formation and Solitons (nlin.PS)

[10] arXiv:nlin/0212010 [pdf, other]

Title: HebbNets: Dynamic network with Hebbian learning rule

G. Szirtes, Zs. Palotai, A. Lorincz

Comments: 10 pages, 6 figures submitted to Physica D

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Quantitative Biology (q-bio)

[11] arXiv:nlin/0212011 [pdf, other]

Title: Evanescent wave approach to diffractive phenomena in convex billiards with corners

Jan Wiersig, Gabriel G. Carlo

Comments: 7 pages, 8 figures

Subjects: Chaotic Dynamics (nlin.CD)

[12] arXiv:nlin/0212012 [pdf, other]

Title: On geometry effects in Rayleigh-Benard convection

Siegfried Grossmann, Detlef Lohse

Comments: 4 pages, 1 figure

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

[13] arXiv:nlin/0212013 [pdf, other]

Title: The ultimate state of thermal convection

Detlef Lohse, Federico Toschi

Comments: 4 pages, 2 figures

Journal-ref: Phys. Rev. Lett. 90, 034502 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[14] arXiv:nlin/0212014 [pdf, other]

Title: The Baecklund transformation equations for the ultradiscrete KP equation

Nobuhiko Shinzawa, Ryogo Hirota

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

[15] arXiv:nlin/0212015 [pdf, other]

Title: Local dimension and finite time prediction in spatiotemporal chaotic systems

Gerson Francisco, Paulsamy Muruganandam

Comments: 5 pagers, 7 EPS figures

Journal-ref: Phys. Rev. E 67, 066204 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[16] arXiv:nlin/0212016 [pdf, other]

Title: Closed orbits and their bifurcations in the crossed-fields hydrogen atom

T. Bartsch, J. Main, G. Wunner

Journal-ref: Phys. Rev. A 67, 063410 (2003)

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

[17] arXiv:nlin/0212017 [pdf, other]

Title: Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields

T. Bartsch, J. Main, G. Wunner

Journal-ref: Phys. Rev. A 67, 063411 (2003)

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

[18] arXiv:nlin/0212018 [pdf, other]

Title: Mean flow and spiral defect chaos in Rayleigh-Benard convection

K.-H. Chiam, M. R. Paul, M. C. Cross, H. S. Greenside

Comments: 14 pages, 19 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[19] arXiv:nlin/0212019 [pdf, other]

Title: Cyclic bases of zero-curvature representations: five illustrations to one concept

S. Yu. Sakovich

Comments: 18 pages

Journal-ref: Acta Appl. Math. 83 (2004) 69-83

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

[20] arXiv:nlin/0212020 [pdf, other]

Title: Multiplicity of Limit Cycle Attractors in Coupled Heteroclinic Cycles

Masashi Tachikawa

Comments: 10 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD)

[21] arXiv:nlin/0212021 [pdf, other]

Title: Correlation functions of scattering matrix elements in microwave cavities with strong absorption

R. Schaefer, T. Gorin, T. H. Seligman, H.-J. Stoeckmann

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

[22] arXiv:nlin/0212022 [pdf, other]

Title: Decay Rates and Survival Probabilities in Open Quantum Systems

Sandro Wimberger, Andreas Krug, Andreas Buchleitner

Comments: 4 pages, 3 figures, ref. on subject

Journal-ref: Phys. Rev. Lett. 89, 263601 (2002)

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

[23] arXiv:nlin/0212023 [pdf, other]

Title: Observation of a Chiral State in a Microwave Cavity

C. Dembowski (1), B. Dietz (1), H.-D. Graef (1), H. L. Harney (2), A. Heine (1), W. D. Heiss (3), A. Richter (1) ((1) Institut fuer Kernphysik, Technische Universitaet Darmstadt, Germany, (2) Max-Planck-Institut fuer Kernphysik, Heidelberg, Germany, (3) Department of Physics, University of Stellenbosch, Matieland, South Africa)

Comments: RevTex 4, 5 figures

Journal-ref: Phys.Rev.Lett.90:034101,2003

Subjects: Chaotic Dynamics (nlin.CD)

[24] arXiv:nlin/0212024 [pdf, other]

Title: Some Applications of Fractional Equations

H. Weitzner (1), G. M. Zaslavsky (1 and 2) ((1) Courant Institute of Mathematical Sciences, New York University, (2) Department of Physics, New York University)

Comments: 11 pages

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

[25] arXiv:nlin/0212025 [pdf, other]

Title: A model of cardiac tissue as a conductive system with interacting pacemakers and refractory time

Alexander Loskutov, Sergei Rybalko, Ekaterina Zhuchkova

Comments: 14 pages, 7 figures, submitted to Int. J. Bifurcation and Chaos

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

[26] arXiv:nlin/0212026 [pdf, other]

Title: Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems

E.V. Ferapontov, M.V. Pavlov

Comments: 26 pages

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

[27] arXiv:nlin/0212027 [pdf, other]

Title: Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System

Keiji Saito

Comments: 7 pages 6 figures

Journal-ref: Europys Lett. vol.61 34 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[28] arXiv:nlin/0212028 [pdf, other]

Title: Modulated structures in electroconvection in nematic liquid crystals

S. Komineas, H. Zhao, L. Kramer

Comments: 13 pages, 13 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[29] arXiv:nlin/0212029 [pdf, other]

Title: Nonlinear optics and optical limiting properties of multifunctional fullerenol/polymer composite

Hendry Izaac Elim, Wei Ji, Gwee Chen Meng, Jianying Ouyang, Suat Hong Goh

Comments: 23 pages, 9 figures, presented in ISMOA-2002, Bandung, Indonesia. Submitted to J. Nonlinear Opt. Phys. (December 2002)

Journal-ref: J. Nonlin. Opt. Phys. & Materials, Vol. 12, No. 2, 175-186 (2003)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Materials Science (cond-mat.mtrl-sci); Chemical Physics (physics.chem-ph); Optics (physics.optics)

[30] arXiv:nlin/0212030 [pdf, other]

Title: The structure of evolutionary exploration: On crossover, buildings blocks and Estimation-Of-Distribution Algorithms

Marc Toussaint

Comments: 11 pages, 2 figures, draft

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Neural and Evolutionary Computing (cs.NE); Quantitative Biology (q-bio)

[31] arXiv:nlin/0212031 [pdf, other]

Title: Interaction of a soliton with a local defect in a fiber Bragg grating

William C. K. Mak, Pak L. Chu (Optoelectronic Research Centre, Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong), Boris A. Malomed (Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel)

Comments: a latex text file and 11 jpg files with figures; an extended version of the paper will appear in Journal of the Optical Society of America B

Subjects: Pattern Formation and Solitons (nlin.PS)

[32] arXiv:nlin/0212032 [pdf, other]

Title: Signatures of chaotic tunnelling

Amaury Mouchet, Dominique Delande

Comments: 11 pages, 9 figures, submitted to Phys. Rev. E. Figures of better quality can be found at this http URL

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

[33] arXiv:nlin/0212033 [pdf, other]

Title: Quantum resonances and decoherence for delta-kicked atoms

Sandro Wimberger, Italo Guarneri, Shmuel Fishman

Comments: 51 pages, 13 figures; KEYWORDS: quantum chaos, decoherence, kicked rotor, dynamical localization, atom optics; submitted to Nonlinearity

Journal-ref: Nonlinearity 16, 1381 (2003)

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

[34] arXiv:nlin/0212034 [pdf, other]

Title: Stable vortex and dipole vector solitons in a saturable nonlinear medium

Jianke Yang, Dmitry E. Pelinovsky

Comments: To appear in Phys. Rev. E

Subjects: Pattern Formation and Solitons (nlin.PS)

[35] arXiv:nlin/0212035 [pdf, other]

Title: Using the Continuous Spectrum to "Feel" Integrability: the Effect of Boundary Conditions

Panayotis G. Kevrekidis, Niurka R. Quintero

Comments: 5 pages, 5 figures, submitted to PRE

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

[36] arXiv:nlin/0212036 [pdf, other]

Title: Crossover from Diffusive to Ballistic Transport in Periodic Quantum Maps

Daniel K. Wojcik, J. Robert Dorfman

Comments: Final version to appear in Physica D, Proceedings of the International Workshop and Seminar on Microscopic Chaos and Transport in Many-Particle Systems, Dresden, 2002; corrected a minor error in section 3.1, new section 4.3

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

[37] arXiv:nlin/0212037 [pdf, other]

Title: Delay-induced Synchronization Phenomena in an Array of Globally Coupled Logistic Maps

A. C. Martí, C. Masoller

Comments: 8 pages, 7 figures, changed content, added references

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

[38] arXiv:nlin/0212038 [pdf, other]

Title: Fast Monte Carlo simulations and singularities in the probability distributions of non-equilibrium systems

A. Bandrivskyy, S. Beri, D. G. Luchinsky, R. Mannella, P. V. E. McClintock

Comments: 4 pages, 4 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Statistical Mechanics (cond-mat.stat-mech)

[39] arXiv:nlin/0212039 [pdf, other]

Title: Front dynamics in reaction-diffusion systems with Levy flights: a fractional diffusion approach

D. del-Castillo-Negrete, B. A. Carreras, V. E. Lynch

Comments: New version. Accepted for publication in Physical Review Letters

Journal-ref: Physical Review Letters 91, 018302 (2003)

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

[40] arXiv:nlin/0212040 [pdf, other]

Title: Tip Oscillation of Dendritic Patterns in a Phase Field Model

Hidetsugu Sakaguchi, Seiji Tokunaga

Comments: 5 figures

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

[41] arXiv:nlin/0212041 [pdf, other]

Title: On a two-parameter extension of the lattice KdV system associated with an elliptic curve

Frank W. Nijhoff, Sian Puttock

Comments: Submitted to the proceedings of the Oeresund PDE-symposium, 23-25 May 2002; 17 pages LaTeX, style-file included

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

[42] arXiv:nlin/0212042 [pdf, other]

Title: Zeta Function Zeros, Powers of Primes, and Quantum Chaos

Jamal Sakhr, Rajat K. Bhaduri, Brandon P. van Zyl

Journal-ref: Phys. Rev. E 68, 026206 (2003)

Subjects: Chaotic Dynamics (nlin.CD)

[43] arXiv:nlin/0212043 [pdf, other]

Title: Statistical approach of the modulational instability of the discrete self-trapping equation

Anca Visinescu, D.Grecu

Comments: 10 pages

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

[44] arXiv:nlin/0212044 [pdf, other]

Title: Correspondence theorems for hierarchies of equations of pseudo-spherical type

Enrique G. Reyes

Comments: 30 pages

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

[45] arXiv:nlin/0212045 [pdf, other]

Title: Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations

Enrique G. Reyes

Comments: 31 pages

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

[46] arXiv:nlin/0212046 [pdf, other]

Title: The hydrogen atom in an electric field: Closed-orbit theory with bifurcating orbits

T. Bartsch, J. Main, G. Wunner

Journal-ref: J. Phys. B 36, 1231 (2003)

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

[47] arXiv:nlin/0212047 [pdf, other]

Title: Wave Propagation in Nonlocally Coupled Oscillators With Noise

Yuri Shiogai, Yoshiki Kuramoto

Comments: 4 pages

Subjects: Pattern Formation and Solitons (nlin.PS)

[48] arXiv:nlin/0212048 [pdf, other]

Title: Monodromy in the resonant swing spring

H. R. Dullin, A. Giacobbe, R. Cushman

Comments: 30 pages, 5 figures

Journal-ref: Physica D, 190:15--37, 2004.

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

[49] arXiv:nlin/0212049 [pdf, other]

Title: Inverse Modeling of Complex Networks Using Embedded Complex Logistic Maps

Sandy Shaw

Comments: 26 pages, 20 figures, Working paper-comments and inquiries welcome

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Chaotic Dynamics (nlin.CD)

[50] arXiv:nlin/0212050 [pdf, other]

Title: Chaotic Combustion in Spark Ignition Engines

M. Wendeker, J. Czarnigowski, G. Litak, K. Szabelski (Technical University of Lublin)

Comments: 5 pages, figures can be obtained from this http URL

Subjects: Chaotic Dynamics (nlin.CD)