Nonlinear Sciences

Authors and titles for December 2006

[1] arXiv:nlin/0612001 [pdf, other]

Title: Clustering of matter in waves and currents

M. Vucelja, G. Falkovich, I. Fouxon

Comments: 4 pages, 1 figure

Journal-ref: Phys. Rev. E, 75, 065301(R), (2007)

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Fluid Dynamics (physics.flu-dyn); Geophysics (physics.geo-ph)

[2] arXiv:nlin/0612002 [pdf, other]

Title: Bi-Hamiltonian Aspects of a Matrix Harry Dym Hierarchy

Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni, Jorge P. Zubelli

Comments: Revised version, 22 pages; a section on reciprocal transformations added. To appear in J. Math. Phys.

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

[3] arXiv:nlin/0612003 [pdf, other]

Title: R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain

Sergey E. Derkachov, Alexander N. Manashov

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 2:084,2006

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

[4] arXiv:nlin/0612004 [pdf, other]

Title: Emergence of Chaotic Itinerancy in Simple Ecological Systems

Pan-Jun Kim, Tae-Wook Ko, Hawoong Jeong, Kyoung J. Lee, Seung Kee Han

Journal-ref: Phys. Rev. E 76 065201(R) (2007)

Subjects: Chaotic Dynamics (nlin.CD); Adaptation and Self-Organizing Systems (nlin.AO); Populations and Evolution (q-bio.PE)

[5] arXiv:nlin/0612005 [pdf, other]

Title: Physical dynamics of quasi-particles in nonlinear wave equations

Ivan Christov, C. I. Christov

Comments: 10 pages, 3 figures (6 images); v2: revised and improved the presentation, updated the references, fixed typos; v3: corrected a few minor mistakes and typos, version accepted for publication in Phys. Lett. A

Journal-ref: Physics Letters A 372 (6), 2008, pp. 841-848

Subjects: Pattern Formation and Solitons (nlin.PS)

[6] arXiv:nlin/0612006 [pdf, other]

Title: On some properties of nearly conservative dynamics of Ikeda map and its relation with the conservative case

A. P. Kuznetsov, A. V. Savin, D. V. Savin

Comments: 13 pages, 10 figures

Journal-ref: Physica A 387 (2008) 1464-1474

Subjects: Chaotic Dynamics (nlin.CD)

[7] arXiv:nlin/0612007 [pdf, other]

Title: Conjugation of cascades

Jesus San Martin, Daniel Rodriguez-Perez

Comments: 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[8] arXiv:nlin/0612008 [pdf, other]

Title: Colliding Particles in Highly Turbulent Flows

Bernhard Mehlig, Ville Uski, Michael Wilkinson

Comments: 5 pages, no figures, v2 contains additional results

Journal-ref: Phys. Fluids 19, 098107 (2007)

Subjects: Chaotic Dynamics (nlin.CD)

[9] arXiv:nlin/0612009 [pdf, other]

Title: The macro-behavior of agents' opinion under the influence of an external field

YunFeng Chang, Long Guo, Xu Cai

Comments: 8 pages, 3 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[10] arXiv:nlin/0612010 [pdf, other]

Title: Random global coupling induces synchronization and nontrivial collective behavior in networks of chaotic maps

O. Alvarez-Llamoza, K. Tucci, M. G. Cosenza, M. Pineda

Comments: 2 pages, 2 figs, accepted in The European Physical Journal

Subjects: Chaotic Dynamics (nlin.CD)

[11] arXiv:nlin/0612011 [pdf, other]

Title: Expanded boundary integral method and chaotic time-reversal doublets in quantum billiards

Gregor Veble, Tomaz Prosen, Marko Robnik

Comments: 18 pages, 8 figures, with 3 additional GIF animations available at this http URL

Subjects: Chaotic Dynamics (nlin.CD)

[12] arXiv:nlin/0612012 [pdf, other]

Title: Exact Moving and Stationary Solutions of a Generalized Discrete Nonlinear Schrodinger Equation

Avinash Khare, Sergey V. Dmitriev, Avadh Saxena

Comments: 22 pages, 7 figures, to appear in J. Phys. A

Subjects: Pattern Formation and Solitons (nlin.PS)

[13] arXiv:nlin/0612013 [pdf, other]

Title: State Differentiation by Transient Truncation in Coupled Threshold Dynamics

Yoshinori Watanabe, Kunihiko kaneko

Comments: 8 pages. Phys. Rev. E. in press

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

[14] arXiv:nlin/0612014 [pdf, other]

Title: Multi-scale model of gradient evolution in turbulent flows

Luca Biferale, Laurent Chevillard, Charles Meneveau, Federico Toschi

Comments: 4 pages, 4 figures

Journal-ref: Phys. Rev. Lett. 98, 214501 (2007)

Subjects: Chaotic Dynamics (nlin.CD)

[15] arXiv:nlin/0612015 [pdf, other]

Title: Features of pulsed synchronization of a systems with a tree-dimensional phase space

A. P. Kuznetsov, N. V. Stankevich, L. V. Turukina

Comments: 16 pages, 11 figures

Subjects: Chaotic Dynamics (nlin.CD)

[16] arXiv:nlin/0612016 [pdf, other]

Title: Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C$^{0}$ and C$^{r}$ - closeness Theorems

A. Rapoport, V. Rom-Kedar, D. Turaev

Comments: 6 pages, 1 figure

Journal-ref: supplement to: Comm. Math. Phys., 272(3), 567-600, 2007

Subjects: Chaotic Dynamics (nlin.CD)

[17] arXiv:nlin/0612017 [pdf, other]

Title: Discrete breathers in a two-dimensional hexagonal Fermi-Pasta-Ulam lattice

Imran A Butt, Jonathan A D Wattis

Comments: 29 pages, 14 Figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[18] arXiv:nlin/0612018 [pdf, other]

Title: Bottleneck crossover between classical and quantum superfluid turbulence

Victor S. L'vov, Sergei V. Nazarenko, Oleksii Rudenko

Comments: 9 pages, 2 figure, 2 appendixes. Extended in accordance with referees comments and other scientific discussions. Moved from PRL to PRB

Journal-ref: Physical Review B 76, 024520 (2007)

Subjects: Chaotic Dynamics (nlin.CD); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[19] arXiv:nlin/0612019 [pdf, other]

Title: Solvable Nonlinear Evolution PDEs in Multidimensional Space

Francesco Calogero, Matteo Sommacal

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), 088, 17 pages

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

[20] arXiv:nlin/0612020 [pdf, other]

Title: A study on bifurcation diagrams in relation to synchronisation in chaotic systems

Sagar Chakraborty, Debabrata Dutta

Subjects: Chaotic Dynamics (nlin.CD)

[21] arXiv:nlin/0612021 [pdf, other]

Title: First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard

E. Bogomolny, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schaefer, C. Schmit

Comments: 4 pages, 5 .eps figures

Journal-ref: Phys.Rev.Lett.97:254102,2006

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

[22] arXiv:nlin/0612022 [pdf, other]

Title: Differential Geometry of Hydrodynamic Vlasov Equations

John Gibbons, Andrea Raimondo

Comments: 24 pages

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

[23] arXiv:nlin/0612023 [pdf, other]

Title: High Lewis number combustion wavefronts: a perturbative Melnikov analysis

S. Balasuriya, G.A. Gottwald, J. Hornibrook, S. Lafortune

Comments: accepted for publication by SIAM Journal on Applied Mathematics

Subjects: Pattern Formation and Solitons (nlin.PS)

[24] arXiv:nlin/0612024 [pdf, other]

Title: Life cycle of a minimal protocell - a dissipative particle dynamics (DPD) study

Harold Fellermann, Steen Rasmussen, Hans-Joachim Ziock, Ricard V. Sole

Comments: 16 pages, 12 figures, submitted to Journal of Artificial Life

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

[25] arXiv:nlin/0612025 [pdf, other]

Title: A family of the Poisson brackets compatible with the Sklyanin bracket

A. V. Tsiganov

Comments: 16 pages, LaTeX with Amsfonts; corrected typos

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

[26] arXiv:nlin/0612026 [pdf, other]

Title: Linear response, susceptibility and resonances in chaotic toy models

Bruno Cessac, Jacques-Alexandre Sepulchre

Comments: 36 pages, 11 Figures, to appear in Physica D

Journal-ref: Physica D, Volume 225, Issue 1, Pages 13-28, (2007)

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

[27] arXiv:nlin/0612027 [pdf, other]

Title: The method of solving of nonlinear Schr\"odinger equation

Dmitry Levko (Institute of Physics National Ukrainian Academy of Sciences)

Comments: 2 pages

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

[28] arXiv:nlin/0612028 [pdf, other]

Title: Nonlinear Supression of Tunneling and Strong Localization in Bose-Einstein Condensates with Spatially Inhomogeneous Interactions

Victor M. Perez-Garcia

Subjects: Pattern Formation and Solitons (nlin.PS)

[29] arXiv:nlin/0612029 [pdf, other]

Title: A Kinetic Theory of Coupled Oscillators

Eric J. Hildebrand, Michael A. Buice, Carson C. Chow

Subjects: Chaotic Dynamics (nlin.CD); Cellular Automata and Lattice Gases (nlin.CG); Biological Physics (physics.bio-ph)

[30] arXiv:nlin/0612030 [pdf, other]

Title: Intracultural diversity in a model of social dynamics

A. Parravano, H. Rivera-Ramirez, M. G. Cosenza

Comments: 7 pages, 2 tables, 6 figures

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

[31] arXiv:nlin/0612031 [pdf, other]

Title: Bright N-solitons for the intermediate nonlinear Schr\"{o}dinger equation

Yohei Tutiya

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

[32] arXiv:nlin/0612032 [pdf, other]

Title: A new measure of phase synchronization for a pair of time series and seizure focus localization

Kaushik Majumdar

Comments: 22 pages, 3 figures. A much more elaborate version with application

Subjects: Chaotic Dynamics (nlin.CD)

[33] arXiv:nlin/0612033 [pdf, other]

Title: Statistical Properties of Nonlinear Shell Models of Turbulence from Linear Advection Models: Rigorous Results

Roberto Benzi, Boris Levant, Itamar Procaccia, Edriss S. Titi

Comments: 7 pages, 4 figures, submitted to Nonlinearity

Subjects: Chaotic Dynamics (nlin.CD)

[34] arXiv:nlin/0612034 [pdf, other]

Title: New approach to the treatment of separatrix chaos and its application to the global chaos onset between adjacent separatrices

S.M. Soskin, R. Mannella, O.M. Yevtushenko

Comments: 29 pages, 16 figures (figs. are of reduced quality, original files are available on request from authors), paper has been significantly revised and resubmitted to PRE

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

[35] arXiv:nlin/0612035 [pdf, other]

Title: Energy and enstrophy fluxes in the double cascade of 2d turbulence

G. Boffetta

Comments: 4 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD); Fluid Dynamics (physics.flu-dyn)

[36] arXiv:nlin/0612036 [pdf, other]

Title: The general solution of the matrix equation $w_t+\sum\limits_{k=1}^nw_{x_k}\rho^{(k)}(w)=\rho(w)+[w,T\tilde\rho(w)]$

P. M. Santini, A. I. Zenchuk

Comments: 6 pages

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

[37] arXiv:nlin/0612037 [pdf, other]

Title: A Discretization of the Nonholonomic Chaplygin Sphere Problem

Yuri Fedorov

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 3 (2007), 044, 15 pages

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

[38] arXiv:nlin/0612038 [pdf, other]

Title: Controlling pulse propagation in optical fibers through nonlinearity and dispersion management

Rajneesh Atre, Prasanta K. Panigrahi

Comments: 4 pages, 5 eps figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Optics (physics.optics)

[39] arXiv:nlin/0612039 [pdf, other]

Title: Transport control in deterministic ratchet system

Woo-Sik Son, Jung-Wan Ryu, Dong-Uk Hwang, Soo-Young Lee, Young-Jai Park, Chil-Min Kim

Comments: 8 pages, 11 figures

Subjects: Chaotic Dynamics (nlin.CD)

[40] arXiv:nlin/0612040 [pdf, other]

Title: Geometric characterization of nodal domains: the area-to-perimeter ratio

Yehonatan Elon, Sven Gnutzmann, Christian Joas, Uzy Smilansky

Comments: 22 pages, 11 figures

Subjects: Chaotic Dynamics (nlin.CD)

[41] arXiv:nlin/0612041 [pdf, other]

Title: Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation

Maria Yurova (Institute of Nuclear Physics, Moscow State University, Moscow, Russia)

Comments: 8 pages

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

[42] arXiv:nlin/0612042 [pdf, other]

Title: Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds

Claudia Chanu, Giovanni Rastelli

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 3 (2007), 021, 21 pages

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

[43] arXiv:nlin/0612043 [pdf, other]

Title: Predictability of El Ni\~no as a Nonlinear Stochastic Limit Cycle

Debabrata Panja, Gerrit Burgers

Comments: 29 pages, 13 figures, 1 table, submitted to Climate Dynamics

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

[44] arXiv:nlin/0612044 [pdf, other]

Title: Study of transients in the propagation of nonlinear waves in some reaction diffusion systems

L. Giuggioli, Z. Kalay, V.M. Kenkre

Comments: 7 pages, 6 figures

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

[45] arXiv:nlin/0612045 [pdf, other]

Title: Numerical simulations of flow reversal in Rayleigh--B\'enard convection

Roberto Benzi, Roberto Verzicco

Comments: 4 pages, 5 figures. submitted to PRL

Subjects: Chaotic Dynamics (nlin.CD)

[46] arXiv:nlin/0612046 [pdf, other]

Title: On the dressing method for Dunajski anti-self-duality equation

L.V. Bogdanov, V.S. Dryuma, S.V. Manakov

Comments: 7 pages

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

[47] arXiv:nlin/0612047 [pdf, other]

Title: Boolean Delay Equations: A simple way of looking at complex systems

Michael Ghil, Ilya Zaliapin, Barbara Coluzzi

Comments: Latex, 67 pages with 15 eps figures. Revised version, in particular the discussion on partial BDEs is updated and enlarged

Journal-ref: Physica D, 237, 2967-2986 (2008)

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

[48] arXiv:nlin/0612048 [pdf, other]

Title: New multidimensional partially integrable generalization of S-integrable N-wave equation

A.I.Zenchuk

Comments: 38 pages

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

[49] arXiv:nlin/0612049 [pdf, other]

Title: Ring Intermittency in Coupled Chaotic Oscillators at the Boundary of Phase Synchronization

Alexander E. Hramov, Alexey A. Koronovskii, Maria K. Kurovskaya, S. Boccaletti

Comments: 4 pages, 4 figures

Journal-ref: Phys. Rev. Lett. 97, 114101 (2006)

Subjects: Chaotic Dynamics (nlin.CD)

[50] arXiv:nlin/0612050 [pdf, other]

Title: On-Off Intermittency in Time Series of Spontaneous Paroxysmal Activity in Rats with Genetic Absence Epilepsy

A.E. Hramov, A.A. Koronovskii, I.S. Midzyanovskaya, E. Sitnikova, C.M. van Rijn

Comments: 11 pages, 6 figures

Journal-ref: CHAOS 16 (2006) 043111

Subjects: Chaotic Dynamics (nlin.CD); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Medical Physics (physics.med-ph)