Nonlinear Sciences

Authors and titles for June 2012

[1] arXiv:1206.0163 [pdf, other]

Title: Pseudo-integrable billiards and arithmetic dynamics

Vladimir Dragović, Milena Radnović

Comments: 24 pages, 22 figures

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

[2] arXiv:1206.0315 [pdf, other]

Title: Effect of differential diffusion and extrapolated Ekman dissipation on flux constraints on the two-layer quasi-geostrophic model

Eleftherios Gkioulekas

Comments: This paper has been withdrawn by the author due to being merged with another paper for resubmission to another journal

Subjects: Chaotic Dynamics (nlin.CD)

[3] arXiv:1206.0321 [pdf, other]

Title: Some results concerning the constant astigmatism equation

Adam Hlaváč, Michal Marvan

Comments: 22 pages, 5 figures

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

[4] arXiv:1206.0359 [pdf, other]

Title: Low Speed Control of an Autonomous Vehicle Using a Hybrid Fractional Order Controller

S. Hassan HosseinNia, Ines Tejado, Blas M. Vinagre, Vicente Milanes, Jorge Villagra

Comments: 2nd International Conference on Control, Instrumentation, and Automation (ICCIA), Iran, 2011

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

[5] arXiv:1206.0542 [pdf, other]

Title: Electronic circuit implementation of chaos synchronization

Ravi Ranjan, Shivshankar Mishra, Suneel Madhekar

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:1206.0789 [pdf, other]

Title: Synchronization of coupled neural oscillators with heterogeneous delays

Anastasiia Panchuk, David P. Rosin, Philipp Hövel, Eckehard Schöll

Comments: 18 pages, 14 figures

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

[7] arXiv:1206.0816 [pdf, other]

Title: The complex dynamics of bicycle pelotons

Hugh Trenchard

Comments: 16 pages, 6 figures, 2 tables, 1 Appendix

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

[8] arXiv:1206.0843 [pdf, other]

Title: OGY Control of Haken Like Systems on Different Poincare Sections

Mozhgan Mombeini

Comments: 4 pages

Subjects: Chaotic Dynamics (nlin.CD)

[9] arXiv:1206.0945 [pdf, other]

Title: Orientation of non-spherical particles in an axisymmetric random flow

Dario Vincenzi

Comments: 18 pages, 8 figures

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

[10] arXiv:1206.0948 [pdf, other]

Title: Real-space Manifestations of Bottlenecks in Turbulence Spectra

Uriel Frisch, Samriddhi Sankar Ray, Ganapati Sahoo, Debarghya Banerjee, Rahul Pandit

Comments: 5 pages, 2 figures

Journal-ref: Phys. Rev. Lett. 110, 064501 (2013)

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

[11] arXiv:1206.0971 [pdf, other]

Title: Random consensus in nonlinear systems under fixed topology

Radha F. Gupta, Poom Kumam

Comments: 9 pages, 5 figures. arXiv admin note: text overlap with arXiv:0909.3165

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

[12] arXiv:1206.1037 [pdf, other]

Title: Zero Curvature and generalization of Painlev\'e equation from AKNS/Lund-Regge model

Danilo V. Ruy, Genilson R. de Melo

Comments: This paper has been withdrawn by the author due to a crucial misinterpretation of the results

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

[13] arXiv:1206.1103 [pdf, other]

Title: Periodizing quasicrystals: Anomalous diffusion in quasiperiodic systems

Atahualpa S. Kraemer, David P. Sanders

Comments: 5 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD); Materials Science (cond-mat.mtrl-sci); Statistical Mechanics (cond-mat.stat-mech); Dynamical Systems (math.DS); Computational Physics (physics.comp-ph)

[14] arXiv:1206.1214 [pdf, other]

Title: Algebraic entropy for semi-discrete equations

D.K. Demskoi, C-M. Viallet

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

[15] arXiv:1206.1217 [pdf, other]

Title: From Yang-Baxter maps to integrable quad maps and recurrences

B. Grammaticos, A. Ramani, C-M. Viallet

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

[16] arXiv:1206.1363 [pdf, other]

Title: Escape Dynamics in the Discrete Repulsive \phi^4-Model

V. Achilleos, A. Álvarez, J. Cuevas, D. J. Frantzeskakis, N. I. Karachalios, P. G. Kevrekidis, B. Sánchez-Rey

Comments: To be published in Physica D

Journal-ref: Physica D 244 (2013) 1-24

Subjects: Pattern Formation and Solitons (nlin.PS)

[17] arXiv:1206.1413 [pdf, other]

Title: Smale-Fomenko diagrams and rough topological invariants of the Kowalevski-Yehia case

M. P. Kharlamov, P. E. Ryabov

Comments: LaTex, 20 pages

Journal-ref: Bulletin of the Udmurtian State University, issue 4, 2011, pp. 40-59

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

[18] arXiv:1206.1497 [pdf, other]

Title: Pattern formation by kicked solitons in the two-dimensionnal Ginzburg-Landau medium with a transverse grating

Valentin Besse (1), Hervé Leblond (1), Dumitru Mihalache (1, 2, 3), Boris A. Malomed (4) ((1) LUNAM Université, Université d'Angers, Laboratoire de Photonique d'Angers, Angers, France, (2) Horia Hulubei National Institue for Physics and Nuclear Engineering, Magurele-Bucharest, Romania, (3) Academy of Romanian Scientists, Bucharest, Romania, (4) Department of Physical Electronics, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel)

Comments: 15 pages, 20 figures (with 41 sub-figures)

Subjects: Pattern Formation and Solitons (nlin.PS)

[19] arXiv:1206.1626 [pdf, other]

Title: Controller Design for A Stance-Control Knee-Ankle-Foot Orthosis Based on Optimization Techniques

S. H. HosseinNia, F. Romero, I. Tejado, F. J. Alonso, B. M. Vinagre

Comments: International Conference in Biomedical Electronics and Device, Portugal, 2012

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

[20] arXiv:1206.2026 [pdf, other]

Title: Adaptive Backstepping Chaos Synchronization of Fractional order Coullet Systems with Mismatched Parameters

T. M. Shahiri, A. Ranjbar, R. Ghaderi, M. Karami, S.H. Hosseinnia

Comments: Proceedings of FDA'10. The 4th IFAC Workshop Fractional Differentiation and its Applications. Article no. FDA10-104 Badajoz, Spain, October 18-20, 2010

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

[21] arXiv:1206.2027 [pdf, other]

Title: Adaptive Fractional PID Controller for Robot Manipulator

H. Delavari, R. Ghaderi, N. A. Ranjbar, S.H. HosseinNia, S. Momani

Comments: Proceedings of FDA'10. The 4th IFAC Workshop Fractional Differentiation and its Applications. Article no. FDA10-038 Badajoz, Spain, October 18-20, 2010

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Robotics (cs.RO)

[22] arXiv:1206.2060 [pdf, other]

Title: Circular Motion of Strings in Cellular Automata, and Other Surprises

Daniel B. Miller, Edward Fredkin

Comments: Companion website: this http URL

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Discrete Mathematics (cs.DM)

[23] arXiv:1206.2145 [pdf, other]

Title: The stability of networks --- towards a structural dynamical systems theory

Michael Small, Kevin Judd, Thomas Stemler

Comments: Draft - based on an extension to NOLTA 2012 submission (22 pages 11 figures)

Subjects: Chaotic Dynamics (nlin.CD); Social and Information Networks (cs.SI); Physics and Society (physics.soc-ph)

[24] arXiv:1206.2237 [pdf, other]

Title: Control of cellular automata

Franco Bagnoli, Samira El Yacoubi, Raul Rechtman

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

[25] arXiv:1206.2262 [pdf, other]

Title: Community-detection cellular automata with local and long-range connectivity

Franco Bagnoli, Andrea Guazzini, Emanuele Massaro

Comments: arXiv admin note: text overlap with arXiv:1112.1224

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Social and Information Networks (cs.SI); Physics and Society (physics.soc-ph)

[26] arXiv:1206.2288 [pdf, other]

Title: Synchronization in the presence of distributed delays

Lucas Wetzel, Luis G. Morelli, Andrew C. Oates, Frank Julicher, Saul Ares

Comments: 6 pages, 3 figures

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

[27] arXiv:1206.2321 [pdf, other]

Title: Topological chaos, braiding and bifurcation of almost-cyclic sets

Piyush Grover, Shane D. Ross, Mark A. Stremler, Pankaj Kumar

Comments: Submitted to Chaos

Journal-ref: Chaos 22, 043135 (2012)

Subjects: Chaotic Dynamics (nlin.CD)

[28] arXiv:1206.2405 [pdf, other]

Title: Solitons in a parametrically driven damped discrete nonlinear Schr\"odinger equation

M. Syafwan, H. Susanto, S. M. Cox

Comments: to appear in "Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations in Nonlinear Systems", B.A. Malomed, ed. (Springer, Berlin, 2012)

Subjects: Pattern Formation and Solitons (nlin.PS)

[29] arXiv:1206.2414 [pdf, other]

Title: Synchronization of Uncertain Fractional-Order Duffing-Holmes Chaotic System via Sliding Mode Control

S. H. Hosseinnia, R. Ghaderi, A. Ranjbar N., S. Momani

Comments: Proc. of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Turkey, 2008

Subjects: Chaotic Dynamics (nlin.CD)

[30] arXiv:1206.2415 [pdf, other]

Title: Control and Synchronization of Chaotic Fractional-Order Coullet System via Active Controller

M. Shahiri T., A. Ranjbar N., R. Ghaderi, S. H. Hosseinnia, S. Momani

Comments: Proc. of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Turkey, 2008

Subjects: Chaotic Dynamics (nlin.CD)

[31] arXiv:1206.2416 [pdf, other]

Title: Synchronization of Fractional Chaotic Systems via Fractional-Order Adaptive Controller

S. H. Hosseinnia, R. Ghaderi, A. Ranjbar N., J. Sadati, S. Momani

Comments: Proc. of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Turkey, 2008

Subjects: Chaotic Dynamics (nlin.CD)

[32] arXiv:1206.2447 [pdf, other]

Title: Canonical Duality Approach for Nonlinear Dynamical Systems

Ning Ruan, David Y. Gao

Comments: 13 pages, 3 figures and 2 tables; IMA J. Appl. Math. 2012

Subjects: Chaotic Dynamics (nlin.CD)

[33] arXiv:1206.2548 [pdf, other]

Title: Rogue waves in the Davey-Stewartson equation

Yasuhiro Ohta, Jianke Yang

Comments: 8 pages, 4 figures

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

[34] arXiv:1206.2556 [pdf, other]

Title: Continuum versus Discrete: A Physically Interpretable General Rule For Cellular Automata By Means of Modular Arithmetic

Luan Carlos de Sena Monteiro Ozelim, André Luís Brasil Cavalcante, Lucas Parreira de Faria Borges

Comments: 37 pages, 11 figures, 6 tables

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

[35] arXiv:1206.2570 [pdf, other]

Title: Clustering of gyrotactic microorganisms in turbulent flows

Filippo De Lillo, Guido Boffetta, Massimo Cencini

Comments: 5 Latex pages, 5 figures

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

[36] arXiv:1206.2607 [pdf, other]

Title: Selective decay by Casimir dissipation in fluids

F.Gay-Balmaz, D. D. Holm

Journal-ref: Nonlinearity 26(2):495--524 (2013)

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

[37] arXiv:1206.2757 [pdf, other]

Title: Role of delay in the mechanism of cluster formation

Aradhana Singh, Sarika Jalan, Jürgen Kurths

Comments: 4+ pages, 4 figues, PRE Rapid Communication (in press)

Journal-ref: Phys. Rev. E 87, 030902(R) (2013)

Subjects: Chaotic Dynamics (nlin.CD)

[38] arXiv:1206.2896 [pdf, other]

Title: Dynamical order, disorder and propagating defects in homogeneous system of relaxation oscillators

Rajeev Singh, Sitabhra Sinha

Comments: 6 pages, 4 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[39] arXiv:1206.2976 [pdf, other]

Title: On Noether's theorem for the Euler-Poincar\'e equation on the diffeomorphism group with advected quantities

Colin J. Cotter, Darryl D. Holm

Comments: 16 pages, no figures, to appear in Foundations of Computational Mathematics special volume in honor of Peter Olver's 60th birthday

Journal-ref: Found. of Comp. Math.} 13:457-477 (2013)

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Classical Physics (physics.class-ph); Fluid Dynamics (physics.flu-dyn)

[40] arXiv:1206.2988 [pdf, other]

Title: Generalised Heine-Stieltjes and Van Vleck polynomials associated with degenerate, integrable BCS models

Ian Marquette, Jon Links

Comments: 24 pages, 9 figures, 3 tables

Journal-ref: J. Stat. Mech. (2012) P08019

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

[41] arXiv:1206.2993 [pdf, other]

Title: Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction

Y. Shen, P. G. Kevrekidis, N. Whitaker, N. I. Karachalios, D. J. Frantzeskakis

Subjects: Pattern Formation and Solitons (nlin.PS)

[42] arXiv:1206.3000 [pdf, other]

Title: Ultrashort pulses and short-pulse equations in $(2+1)-$dimensions

Y. Shen, N. Whitaker, P. G. Kevrekidis, N. L. Tsitsas, D. J. Frantzeskakis

Subjects: Pattern Formation and Solitons (nlin.PS)

[43] arXiv:1206.3026 [pdf, other]

Title: Using transition systems to describe and predict the behaviour of structured excitable media

William M. Stevens

Subjects: Pattern Formation and Solitons (nlin.PS); Formal Languages and Automata Theory (cs.FL)

[44] arXiv:1206.3118 [pdf, other]

Title: Universal Quantum Localizing Transition of a Partial Barrier in a Chaotic Sea

Matthias Michler, Arnd Bäcker, Roland Ketzmerick, Hans-Jürgen Stöckmann, Steven Tomsovic

Comments: 5 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[45] arXiv:1206.3199 [pdf, other]

Title: Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two--matrix model

Marco Bertola, Michael Gekhtman, Jacek Szmigielski

Comments: 31 pages, 12 figures. V2; typos corrected, added references

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

[46] arXiv:1206.3210 [pdf, other]

Title: A refined and unified version of the inverse scattering method for the Ablowitz-Ladik lattice and derivative NLS lattices

Takayuki Tsuchida

Comments: 67 pages; (v2) many minor corrections (v3) typos corrected

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Spectral Theory (math.SP)

[47] arXiv:1206.3338 [pdf, other]

Title: Dynamics of Oscillators Coupled by a Medium with Adaptive Impact

Roozbeh Daneshvar

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

[48] arXiv:1206.3364 [pdf, other]

Title: Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian

Eduardo Mattei, Jon Links

Journal-ref: SIGMA 9 (2013), 076, 15 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)

[49] arXiv:1206.3403 [pdf, other]

Title: Topological Measure Locating the Effective Crossover between Segregation and Integration in a Modular Network

A. Ajdari Rad, I. Sendiña-Nadal, D. Papo, M. Zanin, J. M. Buldú, F. del Pozo, S. Boccaletti

Journal-ref: Phys. Rev. Lett. 108, 228701 (2012)

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

[50] arXiv:1206.3414 [pdf, other]

Title: Quasi-conservation laws for compressible 3D Navier-Stokes flow

J. D. Gibbon, D. D. Holm

Comments: 2 page note, to appear in Phys Rev E

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