Nonlinear Sciences

Authors and titles for May 2012

[1] arXiv:1205.0195 [pdf, other]

Title: Coherent Pattern Prediction in Swarms of Delay-Coupled Agents

Luis Mier-y-Teran-Romero, Eric Forgoston, Ira B. Schwartz

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

[2] arXiv:1205.0507 [pdf, other]

Title: Alternating hexagonal and striped patterns in Faraday surface waves

Nicolas Perinet, Damir Juric, Laurette S. Tuckerman

Journal-ref: Physical Review Letters, 109, 164501 (2012)

Subjects: Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[3] arXiv:1205.0817 [pdf, other]

Title: Bio-inspired Political Systems

Nathalie Mezza-Garcia

Comments: 6 pages, 1 figure, extended abstract

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Physics and Society (physics.soc-ph)

[4] arXiv:1205.0875 [pdf, other]

Title: Comparative study of variational chaos indicators and ODEs' numerical integrators

Luciano A. Darriba, Nicolás P. Maffione, Pablo M. Cincotta, Claudia M. Giordano

Comments: 35 pages, 16 figures

Subjects: Chaotic Dynamics (nlin.CD); Astrophysics of Galaxies (astro-ph.GA); Dynamical Systems (math.DS)

[5] arXiv:1205.1002 [pdf, other]

Title: Dragon-kings: mechanisms, statistical methods and empirical evidence

D. Sornette, G. Ouillon

Comments: 20 pages

Journal-ref: Eur. Phys. J. Special Topics 205, 53-64 (2012)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Data Analysis, Statistics and Probability (physics.data-an)

[6] arXiv:1205.1078 [pdf, other]

Title: Analyses of Baby Name Popularity Distribution in U.S. for the Last 131 Years

Wentian Li

Comments: 6 figures

Journal-ref: Complexity, 18(1):44-50 (2012)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Applications (stat.AP)

[7] arXiv:1205.1166 [pdf, other]

Title: Morphogenesis of Chaos

Marat Akhmet, Mehmet Onur Fen

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS)

[8] arXiv:1205.1191 [pdf, other]

Title: Rogue waves of the Hirota and the Maxwell-Bloch equations

Chuanzhong Li, Jingsong He, K. Porsezian

Comments: 17 pages

Journal-ref: Physical Review E 87(2013), 012913

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

[9] arXiv:1205.1258 [pdf, other]

Title: Invariant manifolds and the geometry of front propagation in fluid flows

Kevin A. Mitchell, John R. Mahoney

Comments: 14 pages, 11 figures. To appear in Chaos Focus Issue: Chemo-Hydrodynamic Patterns and Instabilities (2012)

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

[10] arXiv:1205.1343 [pdf, other]

Title: Higher-order corrections to the short-pulse equation

Levent Kurt, Yeojin Chung, Tobias Schaefer

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

[11] arXiv:1205.1559 [pdf, other]

Title: The derivative nonlinear Schrodinger equation on the interval

Jian Xu, Engui Fan

Comments: 30 pages. arXiv admin note: substantial text overlap with arXiv:0808.1534, arXiv:nlin/0412008

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

[12] arXiv:1205.1902 [pdf, other]

Title: Feigenbaum graphs at the onset of chaos

Bartolo Luque, Lucas Lacasa, Alberto Robledo

Comments: Accepted for publication in Physics Letters A

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

[13] arXiv:1205.2028 [pdf, other]

Title: Integrable system with peakon, weak kink, and kink-peakon interactional solutions

Baoqiang Xia, Zhijun Qiao, Jibin Li

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

[14] arXiv:1205.2044 [pdf, other]

Title: Scaling properties of discontinuous maps

J. A. Mendez-Bermudez, R. Aguilar-Sanchez

Comments: 5 pages, 7 figures

Journal-ref: Phys. Rev. E 85, 056212 (2012)

Subjects: Chaotic Dynamics (nlin.CD)

[15] arXiv:1205.2047 [pdf, other]

Title: Statistical multi-moment bifurcations in random delay coupled swarms

Luis Mier-y-Teran-Romero, Brandon Lindley, Ira B. Schwartz

Subjects: Pattern Formation and Solitons (nlin.PS)

[16] arXiv:1205.2573 [pdf, other]

Title: Low-dimensional q-Tori in FPU Lattices: Dynamics and Localization Properties

Helen Christodoulidi, Christos Efthymiopoulos

Comments: To appear in Physica D, 34 pages, 9 figures

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS)

[17] arXiv:1205.2749 [pdf, other]

Title: Undular bore theory for the Gardner equation

A. M. Kamchatnov, Y.-H. Kuo, T.-C. Lin, T.-L. Horng, S.-C. Gou, R. Clift, G. A. El, R. H. J. Grimshaw

Comments: 25 pages, 24 figures, slightly revised and corrected version

Journal-ref: Phys. Rev. E 86, 036605 (2012)

Subjects: Pattern Formation and Solitons (nlin.PS)

[18] arXiv:1205.2859 [pdf, other]

Title: Matter-wave solitons with the minimum number of particles in two-dimensional quasiperiodic potentials

Gennadiy Burlak, Boris A. Malomed

Comments: 12 pages, 5 figures, Phys. Rev. E, in press

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas)

[19] arXiv:1205.2901 [pdf, other]

Title: Largest Lyapunov exponents for lattices of interacting classical spins

A. S. de Wijn, B. Hess, B. V. Fine

Journal-ref: Phys. Rev. Lett. 109, 034101 (2012)

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

[20] arXiv:1205.2952 [pdf, other]

Title: Synchronization and quorum sensing in a swarm of humanoid robots

Patrick Bechon, Jean-Jacques Slotine

Comments: 5 pages, 7 figures. For associated video : this http URL ; v2 : Minor editiorial corrections ; v3 : Corrected typo in hyperlink

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

[21] arXiv:1205.2968 [pdf, other]

Title: Combinatorics of generalized Bethe equations

Karol Kozlowski, Evgeny Sklyanin

Journal-ref: Letters in Mathematical Physics 103:10 (2013) 1047-1077

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

[22] arXiv:1205.2999 [pdf, other]

Title: Towards a new brain science: lessons from the economic collapse

Jaime Gomez-Ramirez, Manuel G. Bedia

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); General Finance (q-fin.GN)

[23] arXiv:1205.3029 [pdf, other]

Title: Global dynamics of oscillator populations under common noise

W. Braun, A. Pikovsky, M. A. Matias, P. Colet

Comments: 6 Pages

Journal-ref: EPL, 99, 20006 (2012)

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

[24] arXiv:1205.3067 [pdf, other]

Title: Intensity distribution of non-linear scattering states

Timo Hartmann, Juan-Diego Urbina, Klaus Richter, Peter Schlagheck

Comments: 18 pages, 7 figures, submitted to Proceedings MARIBOR 2011

Subjects: Chaotic Dynamics (nlin.CD); Quantum Gases (cond-mat.quant-gas)

[25] arXiv:1205.3072 [pdf, other]

Title: Wandering bumps in stochastic neural fields

Zachary P. Kilpatrick, Bard Ermentrout

Comments: 40 pages, 11 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Dynamical Systems (math.DS); Neurons and Cognition (q-bio.NC)

[26] arXiv:1205.3196 [pdf, other]

Title: Optimal reconstruction of dynamical systems: A noise amplification approach

L.C. Uzal, G.L. Grinblat, P.F. Verdes

Comments: 19 pages, 19 figures

Journal-ref: Phys. Rev. E 84, 016223 (2011)

Subjects: Chaotic Dynamics (nlin.CD)

[27] arXiv:1205.3208 [pdf, other]

Title: A New Family of Generalized 3D Cat Maps

Yue Wu, Sos Agaian, Joseph P. Noonan

Comments: A paper draft sent to IEEE Signal Processing Letters

Subjects: Chaotic Dynamics (nlin.CD); Cryptography and Security (cs.CR)

[28] arXiv:1205.3243 [pdf, other]

Title: A direct method of solution for the Fokas-Lenells derivative nonlinear Schr\"odinger equation: I. Bright soliton solutions

Yoshimasa Matsuno

Comments: To appear in J. Phys. A: Math. Theor. 45(2012) May

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

[29] arXiv:1205.3415 [pdf, other]

Title: On The Complete Integrability Of The Ostrovsky-Vakhnenko Equation

Yarema A. Prykarpatsky

Comments: 8 pages

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

[30] arXiv:1205.3462 [pdf, other]

Title: Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics

Minos Axenides, Emmanuel Floratos

Comments: 15 pages and 2 figures, corrected typos and added references

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

[31] arXiv:1205.3592 [pdf, other]

Title: Energy Spreading in Strongly Nonlinear Disordered Lattices

M. Mulansky, A. Pikovsky

Comments: 25 Pages

Journal-ref: New J. Phys. 15 (2013) 053015

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

[32] arXiv:1205.3665 [pdf, other]

Title: On the joint distribution of the maximum and its position of the Airy2 process minus a parabola

Jinho Baik, Karl Liechty, Gregory Schehr

Comments: 15 pages, no figure, minor revision, to appear in this http URL

Journal-ref: J. Math. Phys. 53, 083303 (2012)

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

[33] arXiv:1205.3836 [pdf, other]

Title: Symmetric and asymmetric solitons in a nonlocal nonlinear coupler

Xianling Shi, Boris A. Malomed, Fangwei Ye, Xianfeng Chen

Comments: 19 pages, 3 figures, to appear in Phys. Rev. A

Journal-ref: Phys. Rev. A 85, 053839 (2012)

Subjects: Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[34] arXiv:1205.3912 [pdf, other]

Title: Adaptive control of the singularly perturbed chaotic systems based on the scale time estimation by keeping chaotic property

Mozhgan Mombeini, Ali Khaki Sedigh, Mohammad Ali Nekoui

Comments: 9 pages,Proceedings,Chaos 2011, 4th Chaotic Modeling and Simulation International Conference 31 May -- 3 June 2011, Agios Nikolaos, Crete Greece

Subjects: Chaotic Dynamics (nlin.CD)

[35] arXiv:1205.3914 [pdf, other]

Title: Analysis of Two Time Scale Property of Singularly Perturbed System on Chaotic Attractor

Mozhgan Mombeini, Ali Khaki Sedigh, Mohammad Ali Nekoui

Comments: 7 pages

Subjects: Chaotic Dynamics (nlin.CD)

[36] arXiv:1205.4127 [pdf, other]

Title: Collective modes of coupled phase oscillators with delayed coupling

Saul Ares, Luis G. Morelli, David J. Jorg, Andrew C. Oates, Frank Julicher

Comments: 5 pages, 2 figures

Journal-ref: Phys. Rev. Lett. 108, 204101 (2012)

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

[37] arXiv:1205.4369 [pdf, other]

Title: High Order Solutions and Generalized Darboux Transformations of Derivative Schr\"odinger Equation

Boling Guo, Liming Ling, Q. P. Liu

Comments: 26 pages,5 figures

Journal-ref: Studies in Applied Mathematics 130(2013)317-344

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

[38] arXiv:1205.4395 [pdf, other]

Title: Darboux Points and Integrability Analysis of Hamiltonian Systems with Homogeneous Rational Potentials

Michał Studziński, Maria Przybylska

Comments: 37 pages, submitted to Physica D

Journal-ref: Physica D vol. 249, 1-15 (2013)

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

[39] arXiv:1205.4575 [pdf, other]

Title: The structure of phase space close to fixed points in a 4D symplectic map

L. Zachilas, M. Katsanikas, P. A. Patsis

Comments: 7 pages,6 figures

Journal-ref: Int. J. Bifurcation Chaos 23,1330023 (2013) [7 pages]

Subjects: Chaotic Dynamics (nlin.CD); Cosmology and Nongalactic Astrophysics (astro-ph.CO); Dynamical Systems (math.DS)

[40] arXiv:1205.4754 [pdf, other]

Title: Inverse Scattering Transform for the Degasperis-Procesi Equation

Adrian Constantin, Rossen I. Ivanov, Jonatan Lenells

Comments: 18 pages, 1 figure

Journal-ref: Nonlinearity, Vol. 23 (2010) 2559-2575

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

[41] arXiv:1205.4886 [pdf, other]

Title: Classification of Periodic, Chaotic and Random Sequences using NSRPS Complexity Measure

Karthi Balasubramanian, Gayathri R. Prabhu, Lakshmipriya V. K., Maneesha Krishnan, Praveena R., Nithin Nagaraj

Comments: 4 pages, 4 tables, accepted for oral presentation at National Conference on Nonlinear Systems and Dynamics, IISER Pune, July 2012

Subjects: Chaotic Dynamics (nlin.CD)

[42] arXiv:1205.4990 [pdf, other]

Title: Classical and Quantum Chaos in the Diamond Shaped Billiard

R. Salazar (1), G. Téllez (1), D. Jaramillo (1), D. L. González (2) ((1) Departamento de Física, Universidad de los Andes (2) Department of Physics, University of Maryland)

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

[43] arXiv:1205.5149 [pdf, other]

Title: Manifold Learning Approach for Chaos in the Dripping Faucet

Hiromichi Suetani, Karin Soejima, Rei Matsuoka, Ulrich Parlitz, Hiroki Hata

Comments: 9 pages, 10 figures

Subjects: Chaotic Dynamics (nlin.CD)

[44] arXiv:1205.5243 [pdf, other]

Title: Buckling of scroll waves

Hans Dierckx, Henri Verschelde, Ozgur Selsil, Vadim Biktashev

Comments: 4 pages main text + 5 pages appendix, 4+2 figures and a movie, as accepted by Phys Rev Letters 2012/09/24

Journal-ref: Phys. Rev. Lett., 109(17):174102, 2012

Subjects: Pattern Formation and Solitons (nlin.PS)

[45] arXiv:1205.5360 [pdf, other]

Title: Families of piecewise linear maps with constant Lyapunov exponent

V. Botella-Soler, J. A. Oteo, J. Ros, P. Glendinning

Comments: 26 pages, 13 figures

Subjects: Chaotic Dynamics (nlin.CD)

[46] arXiv:1205.5396 [pdf, other]

Title: On peaked solitary waves of Degasperis - Procesi equation

Shijun Liao

Comments: 11 pages, 3 figures, accepted by Science China - Physics, Mechanics & Astronomy

Journal-ref: SCIENCE CHINA Physics, Mechanics & Astronomy, 56:418-422 (2013)

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

[47] arXiv:1205.5748 [pdf, other]

Title: A Recursion Operator for the Universal Hierarchy Equation via Cartan's Method of Equivalence

Oleg I. Morozov

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

[48] arXiv:1205.5908 [pdf, other]

Title: Stability of Fractional Order Switching Systems

S. Hassan HosseinNia, Inés Tejado, Blas M. Vinagre

Comments: Proceedings of FDA'2012, The Fifth Symposium on. Fractional Differentiation and its Applications, May 14-17, 2012, Hohai University, Nanjing, China

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Optimization and Control (math.OC)

[49] arXiv:1205.5910 [pdf, other]

Title: Robust Fractional order PI Controller for Switching Systems

S. Hassan HosseinNia, Ines Tejado, Blas M. Vinagre

Comments: Proceedings of FDA'2012, The Fifth Symposium on. Fractional Differentiation and its Applications, May 14-17, 2012, Hohai University, Nanjing, China

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

[50] arXiv:1205.5929 [pdf, other]

Title: American coot collective on-water dynamics

Hugh Trenchard

Comments: 24 pages, 14 figure, 2 tables; Nonlinear Dynamics, Psychology, and Life Sciences IN PRESS

Journal-ref: 2013 Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 17, No. 2, pp. 183-203

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph)