Nonlinear Sciences

Authors and titles for September 2012

[1] arXiv:1209.0073 [pdf, other]

Title: Mean field approximation of two coupled populations of excitable units

I. Franovic, K. Todorovic, N. Vasovic, N. Buric

Comments: 5 figures

Subjects: Chaotic Dynamics (nlin.CD)

[2] arXiv:1209.0133 [pdf, other]

Title: Amplitude and phase dynamics in oscillators with distributed-delay coupling

Y.N. Kyrychko, K.B. Blyuss, E. Schoell

Comments: 25 pages, 13 figures

Journal-ref: Phil. Trans. Roy. Soc. A 371, 20120466 (2013)

Subjects: Chaotic Dynamics (nlin.CD)

[3] arXiv:1209.0142 [pdf, other]

Title: Ultra-Fast Physical Generation of Random Numbers Using Hybrid Boolean Networks

David P. Rosin, Damien Rontani, Daniel J. Gauthier

Comments: 5 pages, 3 figures, accepted in Phys. Rev. E as a Rapid Communication

Journal-ref: Phys. Rev. E 87, 040902(R) (2013)

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

[4] arXiv:1209.0159 [pdf, other]

Title: Functional representation of the negative AKNS hierarchy

V.E. Vekslerchik

Comments: 20 pages

Journal-ref: Journal of Nonlinear Mathematical Physics, 19 (2012) 1250022

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

[5] arXiv:1209.0223 [pdf, other]

Title: The space of initial conditions and the property of an almost good reduction in discrete Painleve II equations over finite fields

Masataka Kanki, Jun Mada, Tetsuji Tokihiro

Comments: 9 pages, 1 figure

Journal-ref: J. Nonlin. Math. Phys., 20:sup 1, (2013), 101-109

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

[6] arXiv:1209.0257 [pdf, other]

Title: Achieving Control of Lesion Growth in CNS with Minimal Damage

Mathankumar Raja, T. R. Krishna Mohan

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Cell Behavior (q-bio.CB); Neurons and Cognition (q-bio.NC)

[7] arXiv:1209.1112 [pdf, other]

Title: The Image of the City Out of the Underlying Scaling of City Artifacts or Locations

Bin Jiang

Comments: 13 pages, 9 figures, 2 tables

Journal-ref: Annals of the Association of American Geographers, 103(6), 1552-1566, 2013

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

[8] arXiv:1209.1314 [pdf, other]

Title: Superintegrability of rational Ruijsenaars-Schneider systems and their action-angle duals

V. Ayadi, L. Feher, T.F. Gorbe

Comments: Extended version of talk at the conference "Geometry, Integrability and Quantization XIV" (Varna, June 2012), 15 pages

Journal-ref: J. Geom. Symmetry Phys. 27 (2012) 27-44

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

[9] arXiv:1209.1350 [pdf, other]

Title: Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber

L. R. Arnaut, G. Gradoni

Comments: accepted for publication in IEEE Trans. Electromagn. Compat., 2012

Subjects: Chaotic Dynamics (nlin.CD); Classical Physics (physics.class-ph); Other Statistics (stat.OT)

[10] arXiv:1209.1468 [pdf, other]

Title: Lyapunov instabilities in lattices of interacting classical spins at infinite temperature

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

Journal-ref: J. Phys. A: Math. Theor. 46, 254012 (2013)

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

[11] arXiv:1209.1566 [pdf, other]

Title: Inversion mechanism of uncertain orders and parameters for the non-commensurate and hyper fractional order chaotic systems via differential evolution

Fei Gao, Feng-xia Fei, Qian Xu, Yan-fang Deng, Yi-bo Qi

Comments: 33 pages, 12 figures. arXiv admin note: substantial text overlap with arXiv:1208.0049, arXiv:1207.7357

Subjects: Chaotic Dynamics (nlin.CD)

[12] arXiv:1209.1708 [pdf, other]

Title: A new dynamical indicator for chaos detection in galactic Hamiltonian systems

Euaggelos E. Zotos

Comments: Published in the Mathematics in Engineering, Science and Aerospace (MESA) journal

Journal-ref: MESA, 2012, Vol. 3, No. 2, pp. 163-177

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

[13] arXiv:1209.1765 [pdf, other]

Title: Entrainment of Chaos

Marat Akhmet, Mehmet Onur Fen

Comments: 29 pages, 11 figures

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

[14] arXiv:1209.2467 [pdf, other]

Title: Bouchaud-M\'ezard model on a random network

Takashi Ichinomiya

Comments: to be published in Physical Review E

Journal-ref: Physical Review E, 86, 036111(2012)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Finance (q-fin.ST)

[15] arXiv:1209.2668 [pdf, other]

Title: On diversity of configurations generated by excitable cellular automata with dynamical excitation intervals

Andrew Adamatzky

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Pattern Formation and Solitons (nlin.PS)

[16] arXiv:1209.2781 [pdf, other]

Title: Wealth distribution on complex networks

Takashi Ichinomiya

Journal-ref: Physical Review E, 86, 066115(2012)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Physics and Society (physics.soc-ph); Statistical Finance (q-fin.ST)

[17] arXiv:1209.2974 [pdf, other]

Title: Bio-Development of Motorway Networks in the Netherlands: A Slime Mould Approach

Andrew Adamatzky, Michael Lees, Peter M.A. Sloot

Comments: Final version of this paper is published in Advances in Complex Systems (2012) DOI: https://doi.org/10.1142/S0219525912500348

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

[18] arXiv:1209.2999 [pdf, other]

Title: Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves

S. Igonin, J. van de Leur, G. Manno, V. Trushkov

Comments: 30 pages; v2: minor changes

Journal-ref: J. Geom. Phys. 68 (2013), 1--26

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

[19] arXiv:1209.3051 [pdf, other]

Title: Chaos and reliability in balanced spiking networks with temporal drive

Guillaume Lajoie, Kevin K. Lin, Eric Shea-Brown

Comments: 15 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Neurons and Cognition (q-bio.NC)

[20] arXiv:1209.3077 [pdf, other]

Title: Soliton Formation in Neutral Ion Gases: Exact Analysis

Babur M. Mirza

Comments: Figure added, typos corrected

Subjects: Pattern Formation and Solitons (nlin.PS); Earth and Planetary Astrophysics (astro-ph.EP); Analysis of PDEs (math.AP)

[21] arXiv:1209.3131 [pdf, other]

Title: A sub-determinant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs

Daniel Waltner, Sven Gnutzmann, Gregor Tanner, Klaus Richter

Comments: 25 pages, one figure

Journal-ref: Phys. Rev. E 87, 052919 (2013)

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

[22] arXiv:1209.3166 [pdf, other]

Title: Wave modes trapped in rotating nonlinear potentials

Yongyao Li, Wei Pang, Boris A. Malomed

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

[23] arXiv:1209.3184 [pdf, other]

Title: Fundamental issues in nonlinear wideband-vibration energy harvesting

Einar Halvorsen

Comments: 7 pages, 6 figures, published in Phys. Rev. E

Journal-ref: Einar Halvorsen, Phys. Rev. E vol. 87, 042129, 2013

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

[24] arXiv:1209.3474 [pdf, other]

Title: Schlauschleimer in Reichsautobahnen: Slime mould imitates motorway network in Germany

Andrew Adamatzky, Theresa Schubert

Journal-ref: Andrew Adamatzky, Theresa Schubert, (2012) "Schlauschleimer in Reichsautobahnen: Slime mould imitates motorway network in Germany", Kybernetes, Vol. 41 Iss: 7/8, pp.1050--1071

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

[25] arXiv:1209.3504 [pdf, other]

Title: Two-Particle Circular Billiards Versus Randomly Perturbed One-Particle Circular Billiards

Sandra Ranković, Mason A. Porter

Comments: 9 pages, 7 figures (some with multiple parts); published in Chaos

Journal-ref: Chaos 23, 013123 (2013)

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

[26] arXiv:1209.3546 [pdf, other]

Title: Encouraging moderation: Clues from a simple model of ideological conflict

Seth A. Marvel, Hyunsuk Hong, Anna Papush, Steven H. Strogatz

Comments: 9 pages, 5 figures

Journal-ref: Phys. Rev. Lett. 109, 118702 (2012)

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

[27] arXiv:1209.3742 [pdf, other]

Title: A generating mechanism for higher order rogue waves

J. S. He, H. R. Zhang, L. H. Wang, K. Porsezian, A. S. Fokas

Comments: 12 pages, 13 figures, To appear in Phys.Rev.E

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

[28] arXiv:1209.3958 [pdf, other]

Title: The World's Colonisation and Trade Routes Formation as Imitated by Slime Mould

Andrew Adamatzky

Journal-ref: Adamatzky A. The World's Colonisation and Trade Routes Formation as Imitated by Slime Mould. nt. J. Bifurcation Chaos, 22, 1230028 (2012) [26 pages]

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

[29] arXiv:1209.4245 [pdf, other]

Title: Long-time asymptotic for the derivative nonlinear Schr\"odinger equation with decaying initial value

Jian Xu, Engui Fan

Comments: 41 pages

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

[30] arXiv:1209.4250 [pdf, other]

Title: The Algebro-Geometric Initial Value Problem for the Relativistic Lotka-Volterra Hierarchy and Quasi-Periodic Solutions

Peng Zhao, Engui Fan, Yu Hou

Comments: 42 pages. arXiv admin note: substantial text overlap with arXiv:1204.4240; and with arXiv:nlin/0702058 by other authors

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

[31] arXiv:1209.4475 [pdf, other]

Title: Symmetry breaking in a model of antigenic variation with immune delay

K.B. Blyuss, Y.N. Kyrychko

Comments: 21 page, 4 figures. arXiv admin note: substantial text overlap with arXiv:1202.4290

Journal-ref: Bull. Math. Biol. 74, 2488-2509 (2012)

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Quantitative Methods (q-bio.QM)

[32] arXiv:1209.4721 [pdf, other]

Title: Discrete Painlev\'e equations and their Lax pairs as reductions of integrable lattice equations

C. M. Ormerod, Peter H. van der Kamp, G. R. W. Quispel

Comments: 23 pages, 5 figures

Journal-ref: J. Phys. A: Math. Theor. 46 2013 095204

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

[33] arXiv:1209.4915 [pdf, other]

Title: Cartography of high-dimensional flows: A visual guide to sections and slices

Predrag Cvitanovic, Daniel Borrero-Echeverry, Keith M. Carroll, Bryce Robbins, Evangelos Siminos

Comments: 12 Pages, 12 figures

Journal-ref: Chaos 22, 047506 (2012)

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Group Theory (math.GR); Fluid Dynamics (physics.flu-dyn)

[34] arXiv:1209.5013 [pdf, other]

Title: Analysis of Cognitive Radio Scenes Based on Non-cooperative Game Theoretical Modelling

Ligia Cremene, Dumitru Dumitrescu

Comments: 8 double-column pages, 10 figures. arXiv admin note: text overlap with arXiv:1209.5387

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Emerging Technologies (cs.ET); Computer Science and Game Theory (cs.GT); Networking and Internet Architecture (cs.NI)

[35] arXiv:1209.5178 [pdf, other]

Title: Spatial patterns in mesic savannas: the local facilitation limit and the role of demographic stochasticity

Ricardo Martinez-Garcia, Justin M. Calabrese, Cristobal Lopez

Comments: 12 pages, 7 figures

Journal-ref: Journal of Theoretical Biology 333, 156-165 (2013)

Subjects: Pattern Formation and Solitons (nlin.PS); Statistical Mechanics (cond-mat.stat-mech); Biological Physics (physics.bio-ph); Quantitative Methods (q-bio.QM)

[36] arXiv:1209.5540 [pdf, other]

Title: Rogue waves of the Fokas-Lenells equation

Jingsong He, Shuwei Xu, Kuppuswamy Porsezian

Comments: 7 pages, 3 figures

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

[37] arXiv:1209.5576 [pdf, other]

Title: Critical network effect induces business oscillations in multi-level marketing systems

Dranreb Earl Juanico

Comments: 5 pages, 3 figures, 1 table; Supplementary information may be requested from the author

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

[38] arXiv:1209.5681 [pdf, other]

Title: Fractional Maps and Fractional Attractors. Part I: $\alpha$-Families of Maps

Mark Edelman

Comments: 10 pages 8 figures

Journal-ref: Discontinuity, Nonlinearity, and Complexity 1, 305 (2013)

Subjects: Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph)

[39] arXiv:1209.5713 [pdf, other]

Title: Universal Fractional Map and Cascade of Bifurcations Type Attractors

Mark Edelman

Comments: 10 pages 8 figures

Journal-ref: Chaos, v.23, 033127, 2013

Subjects: Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph)

[40] arXiv:1209.6170 [pdf, other]

Title: Aging generates regular motions in weakly chaotic systems

Takuma Akimoto, Eli Barkai

Comments: 7 pages, 5 figures

Journal-ref: Phys. Rev. E 87, 032915 (2013)

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

[41] arXiv:1209.6203 [pdf, other]

Title: Crowding effects in vehicular traffic

Jay Samuel L. Combinido, May T. Lim

Comments: 23 pages, 11 figures, accepted for publication in PLoS ONE

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

[42] arXiv:1209.6355 [pdf, other]

Title: Amplitude Death: The emergence of stationarity in coupled nonlinear systems

Garima Saxena, Awadhesh Prasad, Ram Ramaswamy

Comments: Physics Reports (2012)

Subjects: Chaotic Dynamics (nlin.CD)

[43] arXiv:1209.6579 [pdf, other]

Title: The Price of Synchrony: Resistive Losses due to Phase Synchronization in Power Networks

Bassam Bamieh, Dennice F. Gayme

Comments: 7 pages; 2 figures

Subjects: Chaotic Dynamics (nlin.CD); Optimization and Control (math.OC)

[44] arXiv:1209.0043 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Discrete Analog of the Burgers Equation

E. Ben-Naim, P.L. Krapivsky

Comments: 6 pages, 5 figures

Journal-ref: J. Phys. A 45, 455003 (2012)

Subjects: Statistical Mechanics (cond-mat.stat-mech); Pattern Formation and Solitons (nlin.PS)

[45] arXiv:1209.0373 (cross-list from cond-mat.dis-nn) [pdf, other]

Title: Statistical properties of power-law random banded unitary matrices in the delocalization-localization transition regime

Jayendra N. Bandyopadhyay, Jiangbin Gong

Comments: 10 pages + 13 figs

Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn); Chaotic Dynamics (nlin.CD); General Physics (physics.gen-ph); Quantum Physics (quant-ph)

[46] arXiv:1209.0657 (cross-list from physics.optics) [pdf, other]

Title: Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity

Jianhua Zeng, Boris A. Malomed

Comments: 10 pages, 6 figures, Physical Review E, in press

Journal-ref: Phys. Rev. E 86, 036607 (2012)

Subjects: Optics (physics.optics); Pattern Formation and Solitons (nlin.PS); Quantum Physics (quant-ph)

[47] arXiv:1209.0729 (cross-list from q-bio.NC) [pdf, other]

Title: Intra- and Inter-Frequency Brain Network Structure in Health and Schizophrenia

Felix Siebenhuhner, Shennan A. Weiss, Richard Coppola, Daniel R. Weinberger, Danielle S. Bassett

Comments: 19 pages, 8 figures, 1 table, supplementary materials

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

[48] arXiv:1209.0742 (cross-list from quant-ph) [pdf, other]

Title: Quantum-classical transition of correlations of two coupled cavities

Tony E. Lee, M. C. Cross

Comments: 6 pages, 7 figures

Journal-ref: Phys. Rev. A 88, 013834 (2013)

Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[49] arXiv:1209.0787 (cross-list from physics.optics) [pdf, other]

Title: Bragg solitons in nonlinear PT-symmetric periodic potentials

Mohammad-Ali Miri, Alejandro B. Aceves, Tsampikos Kottos, Vassilios Kovanis, Demetrios N. Christodoulides

Comments: 6 pages, 4 figures, published in Physical Review A

Journal-ref: Phys. Rev. A 86, 033801 (2012)

Subjects: Optics (physics.optics); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[50] arXiv:1209.0811 (cross-list from cs.SY) [pdf, other]

Title: Exponential synchronization rate of Kuramoto oscillators in the presence of a pacemaker

Yongqiang Wang, Francis J. Doyle III

Comments: Accepted to IEEE Transactions on Automatic Control

Subjects: Systems and Control (eess.SY); Adaptation and Self-Organizing Systems (nlin.AO)