Nonlinear Sciences

Authors and titles for March 2014

[1] arXiv:1403.0102 [pdf, other]

Title: Synchronization in populations of sparsely connected pulse-coupled oscillators

Alexander Rothkegel, Klaus Lehnertz

Comments: 6 pages, 2 figures

Journal-ref: EPL 105, 30003 (2014)

Subjects: Chaotic Dynamics (nlin.CD); Computational Physics (physics.comp-ph); Neurons and Cognition (q-bio.NC)

[2] arXiv:1403.0169 [pdf, other]

Title: Symmetric $q$-deformed KP hierarch

Kelei Tian, Jingsong He, Yucai Su

Comments: 11pages, accepted by Chinese Annals of Mathematics Series B(2014)

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

[3] arXiv:1403.0193 [pdf, other]

Title: Flexible Time and Ether in One-dimensional Cellular Automata

Markus Redeker

Comments: Thesis submitted to the University of the West of England, Bristol, UK. 139 pages

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

[4] arXiv:1403.0275 [pdf, other]

Title: Universal wave functions structure in mixed systems

Diego A. Wisniacki

Comments: 6 pages, 4 figures

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

[5] arXiv:1403.0321 [pdf, other]

Title: On repellers in quasi-periodically forced logistic map system

Tsuyoshi Chawanya, Takafumi Sakai

Comments: 9 pages, 6 figures

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

[6] arXiv:1403.0351 [pdf, other]

Title: Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion

G. Gambino, M.C. Lombardo, M. Sammartino

Comments: Accepted for publication in Acta Applicandae Mathematicae

Journal-ref: Acta Applicandae Mathematicae 2014

Subjects: Pattern Formation and Solitons (nlin.PS)

[7] arXiv:1403.0458 [pdf, other]

Title: Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units

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

Journal-ref: Phys. Rev. E 89, 022926 (2014)

Subjects: Chaotic Dynamics (nlin.CD)

[8] arXiv:1403.0684 [pdf, other]

Title: The extended $Z_N$-Toda hierarchy

Chuanzhong Li, Jingsong He

Comments: 22 Pages, Theoretical and Mathematical Physics, 185(2015), 1614-1635

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

[9] arXiv:1403.0741 [pdf, other]

Title: Stratified chaos in a sand pile formation

Ate Poortinga, Jan G. Wesseling, Coen J. Ritsema

Subjects: Chaotic Dynamics (nlin.CD); Soft Condensed Matter (cond-mat.soft); Geophysics (physics.geo-ph)

[10] arXiv:1403.0993 [pdf, other]

Title: Emergent statistical-mechanical structure in the dynamics along the period-doubling route to chaos

Alvaro Diaz-Ruelas, Alberto Robledo

Comments: 11 pages, 3 figures. arXiv admin note: text overlap with arXiv:1312.0716

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

[11] arXiv:1403.1012 [pdf, other]

Title: The Sturm-Liouville Hierarchy of Evolution Equations and Limits of Algebro-Geometric Initial Data

Russell Johnson, Luca Zampogni

Journal-ref: SIGMA 10 (2014), 020, 23 pages

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

[12] arXiv:1403.1028 [pdf, other]

Title: Properties of discrete breathers in graphane from ab initio simulations

G.M. Chechin, S.V. Dmitriev, I.P. Lobzenko, D.S. Ryabov

Comments: 20.07.14 Submitted to PhysRevB

Subjects: Pattern Formation and Solitons (nlin.PS); Materials Science (cond-mat.mtrl-sci)

[13] arXiv:1403.1037 [pdf, other]

Title: Snakes and ladders in an inhomogeneous neural field model

Daniele Avitabile, Helmut Schmidt

Journal-ref: Physics D: Nonlinear Phenomena, Volume 294: 24-36, 2015

Subjects: Pattern Formation and Solitons (nlin.PS)

[14] arXiv:1403.1116 [pdf, other]

Title: Chiral selection and frequency response of spiral waves in reaction-diffusion systems under a chiral electric field

Bing-Wei Li, Mei-Chun Cai, Hong Zhang, Alexander V. Panfilov, Hans Dierckx

Comments: 21 pages with 9 figures; update references; to appear in J. Chem. Phys

Subjects: Pattern Formation and Solitons (nlin.PS)

[15] arXiv:1403.1651 [pdf, other]

Title: Traveling waves of the regularized short pulse equation

Y. Shen, T.P. Horikis, P.G. Kevrekidis, D.J. Frantzeskakis

Subjects: Pattern Formation and Solitons (nlin.PS)

[16] arXiv:1403.1657 [pdf, other]

Title: Multistability, multiperiodicity, multichaos: in a unified framework

Feng Liu, Zhi-Hong Guan

Comments: 4 pages, 7 figures

Subjects: Chaotic Dynamics (nlin.CD)

[17] arXiv:1403.1716 [pdf, other]

Title: Nucleation of reaction-diffusion waves on curved surfaces

Frederike Kneer, Eckehard Schöll, Markus A. Dahlem

Subjects: Pattern Formation and Solitons (nlin.PS)

[18] arXiv:1403.1793 [pdf, other]

Title: Entropy and equilibria in competitive systems

A. Y. Klimenko

Journal-ref: Entropy 2014, 16, 1-22

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

[19] arXiv:1403.1829 [pdf, other]

Title: A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane

Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz, Fabio Musso

Comments: 20 pages. Some comments added

Journal-ref: J. Phys. A: Math. Theor. 47 (2014) 345204, 21 pages

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

[20] arXiv:1403.1831 [pdf, other]

Title: Rational solutions from Pad\'e approximants for the generalized Hunter-Saxton equation

H. Aratyn, J. F. Gomes, D. V. Ruy, A. H. Zimerman

Comments: conference proceedings of XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21)

Journal-ref: J. Phys.: Conf. Ser. 474 012006 (2013)

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

[21] arXiv:1403.1914 [pdf, other]

Title: Desynchronization in an ensemble of globally coupled chaotic bursting neuronal oscillators by dynamic delayed feedback control

Yanqiu Che, Tingting Yang, Ruixue Li, Huiyan Li, Chunxiao Han, Jiang Wang, Xile Wei

Comments: This paper has been withdrawn by the author due to a crucial sign error in equation 3

Subjects: Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph); Neurons and Cognition (q-bio.NC)

[22] arXiv:1403.1943 [pdf, other]

Title: Stabilizing topological states in a dynamic network of FitzHugh-Nagumo systems

Resmi V., G. Ambika

Comments: 8 pages, 11 figures, submitted to European Physical Journal B

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

[23] arXiv:1403.1952 [pdf, other]

Title: Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media

Yiqi Zhang, Milivoj R. Belić, Huaibin Zheng, Haixia Chen, Changbiao Li, Yuanyuan Li, Yanpeng Zhang

Comments: 12 pages, 7 figures

Journal-ref: Opt. Express, 22(6), 7160-7171(2014)

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

[24] arXiv:1403.2202 [pdf, other]

Title: Impact of heterogeneous delays on cluster synchronization

Sarika Jalan, Aradhana Singh

Comments: 6pages, 4figures

Journal-ref: Phys. Rev. E 90, 042907 (2014)

Subjects: Chaotic Dynamics (nlin.CD)

[25] arXiv:1403.2373 [pdf, other]

Title: A weakly universal cellular automaton in the pentagrid with five states

Maurice Margenstern

Comments: 23 pages, 21 figures

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

[26] arXiv:1403.2583 [pdf, other]

Title: Boundedness and Self-Organized Semantics: on the Best Survvival Strategy in an Ever-Changing Environment

Maria K. Koleva

Comments: 14 pages, no figures

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

[27] arXiv:1403.2614 [pdf, other]

Title: Higher order Hamiltonian fluid reduction of Vlasov equation

Maxime Perin (CPT), Cristel Chandre (CPT), Philip Morrison (IFS), Emanuele Tassi (CPT)

Subjects: Chaotic Dynamics (nlin.CD); Classical Physics (physics.class-ph); Plasma Physics (physics.plasm-ph)

[28] arXiv:1403.2907 [pdf, other]

Title: Transition from amplitude to oscillation death under mean-field diffusive coupling

Tanmoy Banerjee, Debarati Ghosh

Comments: 5 pages, 5 figures, Final accepted version in Phys.Rev.E (minor language correction)

Journal-ref: Physical Review E, Vol. 89, No. 5, 052912, 2014

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

[29] arXiv:1403.2953 [pdf, other]

Title: Frontiers of chaotic advection

Hassan Aref, John R. Blake, Marko Budišić, Silvana S. S. Cardoso, Julyan H. E. Cartwright, Herman J. H. Clercx, Kamal El Omari, Ulrike Feudel, Ramin Golestanian, Emmanuelle Gouillart, GertJan F. van Heijst, Tatyana S. Krasnopolskaya, Yves Le Guer, Robert S. MacKay, Vyacheslav V. Meleshko, Guy Metcalfe, Igor Mezić, Alessandro P. S. de Moura, Oreste Piro, Michel F. M. Speetjens, Rob Sturman, Jean-Luc Thiffeault, Idan Tuval

Comments: Review article; 72 pages, 55 figures

Journal-ref: Rev. Mod. Phys. 89, 025007 (2017)

Subjects: Chaotic Dynamics (nlin.CD); Soft Condensed Matter (cond-mat.soft); Dynamical Systems (math.DS); Fluid Dynamics (physics.flu-dyn)

[30] arXiv:1403.3209 [pdf, other]

Title: Hierarchy and Polysynchrony in an adaptive network

V. Botella-Soler, P. Glendinning

Comments: 13 pages, 17 figures

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

[31] arXiv:1403.3250 [pdf, other]

Title: A minimal model of predator-swarm interactions

Yuxin Chen, Theodore Kolokolnikov

Journal-ref: Journal of the Royal Society Interface 11:20131208 (2014)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph)

[32] arXiv:1403.3363 [pdf, other]

Title: Control of chemical wave propagation

Jakob Löber, Rhoslyn Coles, Julien Siebert, Harald Engel, Eckehard Schöll

Comments: 22 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Chemical Physics (physics.chem-ph)

[33] arXiv:1403.3456 [pdf, other]

Title: Amplitude death in coupled robust-chaos oscillators

M. J. Palazzi, M. G. Cosenza

Comments: 4 pages, 4 figures

Subjects: Chaotic Dynamics (nlin.CD)

[34] arXiv:1403.3585 [pdf, other]

Title: Pattern formation in systems with multiple delayed feedbacks

Serhiy Yanchuk, Giovanni Giacomelli

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD); Optics (physics.optics)

[35] arXiv:1403.3802 [pdf, other]

Title: Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

Fabio Baronio, Matteo Conforti, Antonio Degasperis, Sara Lombardo, Miguel Onorato, Stefan Wabnitz

Journal-ref: Phys. Rev. Lett. 113, 034101 (2014)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn); Optics (physics.optics)

[36] arXiv:1403.3901 [pdf, other]

Title: New invariant relations for the generalized two-field gyrostat

Pavel E. Ryabov

Comments: LaTex, 13 pages. Submitted to J. of Geometry and Physics 16.03.2014

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

[37] arXiv:1403.3935 [pdf, other]

Title: On the minimal set of conservation laws and the Hamiltonian structure of the Whitham equations

A.Ya. Maltsev

Comments: 69 pages, 1 figure, latex

Journal-ref: Journal of Mathematical Physics 56 : 2 (2015), 023510

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

[38] arXiv:1403.4022 [pdf, other]

Title: Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling

R. Gopal, V. K. Chandrasekar, A. Venkatesan, M. Lakshmanan

Comments: 10 pages, 14 figures, Accepted for publication in Phys. Rev. E: revised and enlarged, including supplementary materials in the main text, and additional references and changes in the Introduction to the previous version arxiv

Subjects: Chaotic Dynamics (nlin.CD)

[39] arXiv:1403.4431 [pdf, other]

Title: Recovery of ordered periodic orbits with increasing wavelength for sound propagation in a range-dependent waveguide

L.E. Kon'kov, D.V. Makarov, E.V. Sosedko, M.Yu. Uleysky

Journal-ref: Physical Review E, Vol. 76, 056212 (2007)

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

[40] arXiv:1403.4825 [pdf, other]

Title: Pattern formation during the oscillatory photoelectrodissolution of n-type silicon: Turbulence, clusters and chimeras

Konrad Schoenleber, Carla Zensen, Andreas Heinrich, Katharina Krischer

Journal-ref: New Journal of Physics, 16, 063024, 2014

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

[41] arXiv:1403.5318 [pdf, other]

Title: Stripe to spot transition in a plant root hair initiation model

V.F. Breña-Medina, D. Avitabile, A.R. Champneys, M.J. Ward

Comments: 28 pages, 44 figures

Journal-ref: SIAM J. Appl. Math., 75(3), 1090-1119, 2015

Subjects: Pattern Formation and Solitons (nlin.PS); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[42] arXiv:1403.5520 [pdf, other]

Title: Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices

Russell Campbell, Gian-Luca Oppo, Mateusz Borkowski

Comments: 11 pages, 10 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[43] arXiv:1403.5705 [pdf, other]

Title: Low-dimensional behavior of Kuramoto model with inertia in complex networks

Peng Ji, Thomas K.DM. Peron, Francisco A. Rodrigues, Jürgen Kurths

Comments: 6 figures

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

[44] arXiv:1403.5896 [pdf, other]

Title: A mixed SOC-turbulence model for nonlocal transport and Levy-fractional Fokker-Planck equation

Alexander V. Milovanov, Jens Juul Rasmussen

Comments: 11 pages, 2 figures; submitted to Physics Letters A. arXiv admin note: substantial text overlap with arXiv:1307.0387

Journal-ref: Physics Letters A 378 (2014) 1492-1500

Subjects: Chaotic Dynamics (nlin.CD)

[45] arXiv:1403.5920 [pdf, other]

Title: Early-Warning Signs for Pattern-Formation in Stochastic Partial Differential Equations

Karna Gowda, Christian Kuehn

Comments: Published in Communications in Nonlinear Science and Numerical Simulation (2014)

Journal-ref: Communications in Nonlinear Science and Numerical Simulation, Vol. 22, No. 1, pp. 55-69, 2015

Subjects: Pattern Formation and Solitons (nlin.PS); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Probability (math.PR)

[46] arXiv:1403.5959 [pdf, other]

Title: Noise reduction in coarse bifurcation analysis of stochastic agent-based models: an example of consumer lock-in

Daniele Avitabile, Rebecca Hoyle, Giovanni Samaey

Comments: This version of the manuscript was accepted for publication on SIADS

Journal-ref: SIAM J. Appl. Dyn. Syst., 13(4), 1583-1619, 2014

Subjects: Pattern Formation and Solitons (nlin.PS)

[47] arXiv:1403.5989 [pdf, other]

Title: Two-state filtering for joint state-parameter estimation

Naratip Santitissadeekorn, Chris Jones

Subjects: Chaotic Dynamics (nlin.CD); Data Analysis, Statistics and Probability (physics.data-an)

[48] arXiv:1403.6109 [pdf, other]

Title: On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system

Sergei Igonin, Michal Marvan

Comments: 20 pages; v2: minor changes

Journal-ref: J. Geom. Phys. 85 (2014), 106--123

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

[49] arXiv:1403.6169 [pdf, other]

Title: Hyperchaotic Intermittent Convection in a Magnetized Viscous Fluid

Wieslaw M. Macek, Marek Strumik

Comments: 5 pages, 4 figures

Journal-ref: Physical Review Letters, Vol. 112, 074502, 2014

Subjects: Chaotic Dynamics (nlin.CD); Solar and Stellar Astrophysics (astro-ph.SR); Fluid Dynamics (physics.flu-dyn); Plasma Physics (physics.plasm-ph); Space Physics (physics.space-ph)

[50] arXiv:1403.6191 [pdf, other]

Title: Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs

Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta

Comments: 13 pages, 6 figures, To be appeared in Journal of Math-for-Industry

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