Nonlinear Sciences

Authors and titles for June 2006

[1] arXiv:nlin/0606001 [pdf, other]

Title: Similarity Solution of the 3-phase Stefan Problem for Alloys with Arbitrary Temperature Dependent Properties

Evgeniy N. Kondrashov

Comments: 5 pages, no figures

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

[2] arXiv:nlin/0606002 [pdf, other]

Title: Energy Spectra of Developed Turbulencein Helium Superfluids

Victor S. L'vov, Sergei V. Nazarenko, L. Skrbek

Comments: 17 pages, 4 figs, J low Temperature Physics, submitted

Journal-ref: J. Low Temperature Physics, v. 145, 125 - 142 (2006)

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

[3] arXiv:nlin/0606003 [pdf, other]

Title: Stochastic Properties of the Frobenius-Perron Operator

Stephan I. Tzenov

Comments: 14 pages, Typeset using this http URL (Ver.0.9)

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Pattern Formation and Solitons (nlin.PS); Accelerator Physics (physics.acc-ph)

[4] arXiv:nlin/0606004 [pdf, other]

Title: Corrugated surfaces with slow modulation and quasiclassical Weierstrass representation

B.G.Konopelchenko

Comments: 11 pages

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

[5] arXiv:nlin/0606005 [pdf, other]

Title: Intermittency and Synchronisation in Gumowski-Mira Maps

G Ambika, K Ambika

Comments: 12 pages, 7 figures. submitted to Chaos, Solitons & Fractals

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:nlin/0606006 [pdf, other]

Title: Stochastic resonance as a filter for signal detection from multisignal inputs

K P Harikrishnan, G Ambika

Comments: 19 pages, 12 figures. submitted to Physica Scripta

Subjects: Chaotic Dynamics (nlin.CD)

[7] arXiv:nlin/0606007 [pdf, other]

Title: Scale-invariant cellular automata and self-similar Petri nets

Martin Schaller, Karl Svozil

Comments: 35 pages, 5 figures

Journal-ref: The European Physical Journal B 69, 297-311 (2009)

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

[8] arXiv:nlin/0606008 [pdf, other]

Title: Explicit solutions of the WDVV equation determined by the "flat" hydrodynamic reductions of the Egorov hydrodynamic chains

Maxim V. Pavlov

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

[9] arXiv:nlin/0606009 [pdf, other]

Title: A geometric interpretation of the spectral parameter for surfaces of constant mean curvature

Jan L. Cieslinski

Comments: 12 pages

Journal-ref: Journal of Nonlinear Mathematical Physics, 2006

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

[10] arXiv:nlin/0606010 [pdf, other]

Title: Discretization of multidimensional submanifolds associated with Spin-valued spectral problems

Jan L. Cieslinski

Comments: 11 pages

Journal-ref: Fundamental and Applied Mathematics, 2006

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

[11] arXiv:nlin/0606011 [pdf, other]

Title: The Darboux-Backlund transformation for the static 2-dimensional continuum Heisenberg chain

Jan L. Cieslinski, Joanna Czarnecka

Comments: 12 pages

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

[12] arXiv:nlin/0606012 [pdf, other]

Title: Pragmatic Information and Gaian Development -- First Thoughts

Edward D. Weinberger

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

[13] arXiv:nlin/0606013 [pdf, other]

Title: Variation of Fractal Properties of Two-Component Systems in Their Evolution Process

K.S. Baktybekov, S.G. Karstina, E.N. Vertyagina, A.A. Baratova

Comments: 3 pages, 2 figures, Proceedings of the 2nd International Congress on Radiation Physics and Chemistry of Inorganic Materials, 2006, Tomsk, Russia

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

[14] arXiv:nlin/0606014 [pdf, other]

Title: Cascades of Failure and Extinction in Evolving Complex Systems

Paul Ormerod, Rich Colbaugh

Comments: 15 pages, 5 figures

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

[15] arXiv:nlin/0606015 [pdf, other]

Title: Kraichnan flow in a square: an example of integrable chaos

Raphael Chetrite, Jean-Yves Delannoy, Krzysztof Gawedzki

Comments: 22 pages, 8 figures

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

[16] arXiv:nlin/0606016 [pdf, other]

Title: On existence of dark solitons in cubic-quintic nonlinear Schr\"{o}dinger equation with a periodic potential

Pedro J. Torres, Vladimir V. Konotop

Comments: 10 pages

Subjects: Pattern Formation and Solitons (nlin.PS); Other Condensed Matter (cond-mat.other); Chaotic Dynamics (nlin.CD)

[17] arXiv:nlin/0606017 [pdf, other]

Title: Integrability of the Egorov hydrodynamic type systems

Maxim V. Pavlov

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

[18] arXiv:nlin/0606018 [pdf, other]

Title: Newton polygons for finding exact solutions

Nikolai A. Kudryashov, Maria V. Demina

Comments: 24 pages, 10 figures

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

[19] arXiv:nlin/0606019 [pdf, other]

Title: Macroscopic parameters of Fokker-Planck flows

Igor A. Tanski

Comments: Postscript, 12 pages

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

[20] arXiv:nlin/0606020 [pdf, other]

Title: Discrete Breathers in Two-Dimensional Anisotropic Nonlinear Schrodinger lattices

J. Gomez-Gardenes, L.M. Floria, A.R. Bishop

Comments: 13 pages, 9 figures

Journal-ref: Physica D 216, 31 (2006)

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

[21] arXiv:nlin/0606021 [pdf, other]

Title: Generalized Quantum Baker Maps as perturbations of a simple kernel

Leonardo Ermann, Marcos Saraceno

Comments: 11 pages, 17 figures

Journal-ref: Phys. Rev. E 74, 046205 (2006)

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

[22] arXiv:nlin/0606022 [pdf, other]

Title: Gauge Theory for Finite-Dimensional Dynamical Systems

Pini Gurfil

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

[23] arXiv:nlin/0606023 [pdf, other]

Title: On an Irreducible Theory of Complex Systems

Victor Korotkikh, Galina Korotkikh

Comments: 8 pages, 3 figures, typos are corrected, some changes and additions are made

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Mathematical Physics (math-ph)

[24] arXiv:nlin/0606024 [pdf, other]

Title: Lyapunov exponents of heavy particles in turbulence

Jeremie Bec, Luca Biferale, Guido Boffetta, Massimo Cencini, Stefano Musacchio, Federico Toschi

Comments: 4 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[25] arXiv:nlin/0606025 [pdf, other]

Title: Darboux transformations for a 6-point scheme

Maciej Nieszporski

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

[26] arXiv:nlin/0606026 [pdf, other]

Title: Spiral-wave Dynamics Depends Sensitively on nhomogeneities in Mathematical Models of Ventricular Tissue

T K Shajahan, Sitabhra Sinha, Rahul Pandit

Comments: 9 pages, 5 figures.

Journal-ref: Phys. Rev. E 75, 011929 (2007)

Subjects: Pattern Formation and Solitons (nlin.PS); Tissues and Organs (q-bio.TO)

[27] arXiv:nlin/0606027 [pdf, other]

Title: Pulse vaccination in the periodic infection rate SIR epidemic model

Zhen Jin, Mainul Haque, Quanxing Liu

Comments: 17pages and 3figures, submmission to Mathematical Biosciences

Journal-ref: 2008 International Journal of Biomathematics 1:409-432

Subjects: Chaotic Dynamics (nlin.CD)

[28] arXiv:nlin/0606028 [pdf, other]

Title: A New Lorenz System Parameter Determination Method and Applications

A. Orue, G. Alvarez, G. Pastor, M. Romera, F. Montoya, Shujun Li

Comments: 21 pages, 14 figures, preprint submitted to Chaos Solitons and Fractals

Subjects: Chaotic Dynamics (nlin.CD)

[29] arXiv:nlin/0606029 [pdf, other]

Title: Lorenz System Parameter Determination and Application to Break the Security of Two-channel Chaotic Cryptosystems

A. B. Orue, G. Alvarez, M. Romera, G. Pastor, F. Montoya, Shujun Li

Comments: 5 pages, 5 figures Preprint submitted to IEEE T. Cas II, revision of authors name spelling

Subjects: Chaotic Dynamics (nlin.CD)

[30] arXiv:nlin/0606030 [pdf, other]

Title: Reconnection of Unstable/Stable Manifolds of the Harper Map

S.Ajisaka, S.Tasaki

Comments: 38 pages, 9 figures: revised version of nlin/0501042

Subjects: Chaotic Dynamics (nlin.CD)

[31] arXiv:nlin/0606031 [pdf, other]

Title: State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System

Yao-li Chuang, Maria R. D'Orsogna, Daniel Marthaler, Andrea L. Bertozzi, Lincoln S. Chayes

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

[32] arXiv:nlin/0606032 [pdf, other]

Title: Chaotic dynamics of resting ventilatory flow in humans assessed through noise titration

Marc Wysocki, Marie-Noelle Fiamma, Christian Straus, Chi-Sang Poon, Thomas Similowski

Comments: 24 pages, 3 figures, presented at 27th Annual International Conference of the IEEE Engineering in Medicine and Biology Society

Subjects: Chaotic Dynamics (nlin.CD)

[33] arXiv:nlin/0606033 [pdf, other]

Title: Method of Asymptotics beyond All Orders and Restriction on Maps

S.Ajisaka, S.Tasaki

Comments: 7 pages: Proceedings of let's face chaos

Subjects: Chaotic Dynamics (nlin.CD)

[34] arXiv:nlin/0606034 [pdf, other]

Title: Scarring by homoclinic and heteroclinic orbits

D. A. Wisniacki, E. Vergini, R. M. Benito, F. Borondo

Comments: 5 pages, 4 figures

Journal-ref: Phys. Rev. Lett. 97, 094101 (2006)

Subjects: Chaotic Dynamics (nlin.CD)

[35] arXiv:nlin/0606035 [pdf, other]

Title: Analytic Model of the Universal Structure of Turbulent Boundary Layers

Victor S. L'vov, Itamar Procaccia, Oleksii Rudenko (The Department of Chemical Physics, The Weizmann Institute of Science, Rehovot, Israel)

Comments: 5 pages, 4 figs, JETP Letters, submitted. Comparison with the latest DNS data

Journal-ref: JETP Letts, v. 84, 67-72 (2006);

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

[36] arXiv:nlin/0606036 [pdf, other]

Title: On the structure of $(2+1)$--dimensional commutative and noncommutative integrable equations

Jing Ping Wang

Comments: 17 pages

Journal-ref: Journal of Mathematical Physics 47(11), 113508, 2006

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

[37] arXiv:nlin/0606037 [pdf, other]

Title: Strength distributions and symmetry breaking in coupled microwave billiards

B. Dietz. T. Guhr, H. L. Harney, A. Richter

Subjects: Chaotic Dynamics (nlin.CD)

[38] arXiv:nlin/0606038 [pdf, other]

Title: Clustering of heavy particles in the inertial range of turbulence

J. Bec, M. Cencini, R. Hillerbrand

Comments: 4 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[39] arXiv:nlin/0606039 [pdf, other]

Title: q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy

Jingsong He, Yinghua Li, Yi Cheng

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

Journal-ref: SIGMA 2 (2006), 060, 32 pages

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

[40] arXiv:nlin/0606040 [pdf, other]

Title: An integrable hierarchy with a perturbed Henon-Heiles system

A.N.W. Hone, V.S Novikov, C. Verhoeven

Comments: Further comments and references added

Journal-ref: Inverse Problems 22 (2006) 2001-2020

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

[41] arXiv:nlin/0606041 [pdf, other]

Title: Clusters die hard: Time-correlated excitation in the Hamiltonian Mean Field model

Hiroko Koyama, Tetsuro Konishi, Stefano Ruffo

Comments: 14 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Atomic and Molecular Clusters (physics.atm-clus)

[42] arXiv:nlin/0606042 [pdf, other]

Title: Power expansions for the self-similar solutions of the modified Savada-Kotera equation

Olga Yu. Efimova, Nikolai A. Kudryashov

Comments: 31 pages, 9 figures

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

[43] arXiv:nlin/0606043 [pdf, other]

Title: Small scale statistics of viscoelastic turbulence

S. Berti, A. Bistagnino, G. Boffetta, A. Celani, S. Musacchio

Comments: 7 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[44] arXiv:nlin/0606044 [pdf, other]

Title: A synthesis and a practical approach to complex systems

Nicolas Brodu

Comments: v3: minor update about algorithmic complexity. v2: Better introduction; Section 2 is clearer; Improved the state of art; More examples are now given in section 2.4. Document updated from the content of the author PhD thesis available at this http URL

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

[45] arXiv:nlin/0606045 [pdf, other]

Title: Time delay in the Kuramoto model with bimodal frequency distribution

Ernest Montbrio, Diego Pazo, Juergen Schmidt

Comments: 5 pages, 4 figures

Journal-ref: Physical Review E 74, 056201 (2006)

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

[46] arXiv:nlin/0606046 [pdf, other]

Title: On the Integrability of a Class of Nonlinear Dispersive Wave Equations

Rossen I. Ivanov

Comments: 8 pages

Journal-ref: Journal of Nonlinear Mathematical Physics vol. 12 (2005), pp 462-468

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

[47] arXiv:nlin/0606047 [pdf, other]

Title: Integrable dispersionless KdV hierarchy with sources

Zhihua Yang, Ting Xiao, Yunbo Zeng

Comments: 15 pages, to be published in J. Phys. A: Math. Gen

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

[48] arXiv:nlin/0606048 [pdf, other]

Title: Convective stabilization of a Laplacian moving boundary problem with kinetic undercooling

Ute Ebert, Bernard Meulenbroek, Lothar Schaefer

Comments: 19 pages, 7 figures, accepted for SIAM J. Appl. Math

Journal-ref: SIAM J. Appl. Math. 68, 292-310 (2007)

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

[49] arXiv:nlin/0606049 [pdf, other]

Title: Bifurcations of discrete breathers in a diatomic Fermi-Pasta-Ulam chain

Guillaume James, Michael Kastner

Comments: 30 pages, 10 figures

Journal-ref: Nonlinearity 20, 631-657 (2007)

Subjects: Pattern Formation and Solitons (nlin.PS)

[50] arXiv:nlin/0606050 [pdf, other]

Title: Can one count the shape of a drum?

Sven Gnutzmann, Panos D. Karageorge, Uzy Smilansky

Comments: 4 pages, 1 figure

Subjects: Chaotic Dynamics (nlin.CD)