Nonlinear Sciences

Authors and titles for February 2017

[1] arXiv:1702.00006 [pdf, other]

Title: Optical Random Riemann Waves in Integrable Turbulence

Stephane Randoux, Francois Gustave, Pierre Suret, Gennady El

Journal-ref: Phys. Rev. Lett. 118, 233901 (2017)

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

[2] arXiv:1702.00079 [pdf, other]

Title: Spatio-temporal canards in neural field equations

Daniele Avitabile, Mathieu Desroches, Edgar Knobloch

Journal-ref: Phys. Rev. E 95, 042205 (2017)

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

[3] arXiv:1702.00161 [pdf, other]

Title: Multiple scroll wave chimera states

Volodymyr Maistrenko, Oleksandr Sudakov, Oleksiy Osiv, Yuri Maistrenko

Comments: 15 pages, 14 figures

Journal-ref: The European Physical Journal Special Topics 226 (9), 1867-1881, 2017

Subjects: Pattern Formation and Solitons (nlin.PS)

[4] arXiv:1702.00202 [pdf, other]

Title: Time-varying coupling functions: dynamical inference and cause of synchronization transitions

Tomislav Stankovski

Comments: PRE, in press 2017

Journal-ref: Phys. Rev. E 95, 022206, (2017)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD); Biological Physics (physics.bio-ph); Computational Physics (physics.comp-ph); Data Analysis, Statistics and Probability (physics.data-an)

[5] arXiv:1702.00343 [pdf, other]

Title: The inversion of motion of bristle bots: analytical and experimental analysis

Giancarlo Cicconofri, Felix Becker, Giovanni Noselli, Antonio DeSimone, Klaus Zimmermann

Journal-ref: ROMANSY 21-Robot Design, Dynamics and Control. Springer International Publishing, 2016. 225-232

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:1702.00614 [pdf, other]

Title: Learning Criticality in an Embodied Boltzmann Machine

Miguel Aguilera, Manuel G. Bedia

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Neural and Evolutionary Computing (cs.NE); Neurons and Cognition (q-bio.NC)

[7] arXiv:1702.01128 [pdf, other]

Title: A dressing method for soliton solutions of the Camassa-Holm equation

Rossen Ivanov, Tony Lyons, Nigel Orr

Comments: 18 pages, 2 figures

Journal-ref: AIP Conf. Proc. 1895, 040003 (2017)

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

[8] arXiv:1702.01227 [pdf, other]

Title: Liouville Correspondences between Integrable Hierarchies

Jing Kang, Xiaochuan Liu, Peter J. Olver, Changzheng Qu

Journal-ref: SIGMA 13 (2017), 035, 26 pages

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

[9] arXiv:1702.01242 [pdf, other]

Title: Mechanical Motion Induced by Spatially Distributed Limit-Cycle Oscillators

Hidestugu Sakaguchi, Yuuki Mukae

Comments: 7 pages, 6 figures

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

[10] arXiv:1702.01266 [pdf, other]

Title: Rational Solutions to the ABS List: Transformation Approach

Danda Zhang, Da-Jun Zhang

Journal-ref: SIGMA 13 (2017), 078, 24 pages

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

[11] arXiv:1702.01998 [pdf, other]

Title: Akhmediev Breathers and Peregrine Solitary Waves in a Quadratic Medium

Fabio Baronio

Subjects: Pattern Formation and Solitons (nlin.PS)

[12] arXiv:1702.02084 [pdf, other]

Title: Long-time asymptotics for the derivative nonlinear Schr\"odinger equation on the half-line

L. K. Arruda, J. Lenells

Comments: 29 pages

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

[13] arXiv:1702.02632 [pdf, other]

Title: Ultrashort dark solitons interactions and nonlinear tunneling in the modified nonlinear Schr\"odinger equation with variable coefficients

N.M. Musammil, K. Porsezian, K. Nithyanandan, P.A. Subha, P. Tchofo Dinda

Comments: 11 pages, 12 figures

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

[14] arXiv:1702.02683 [pdf, other]

Title: Localized Faraday patterns under heterogeneous parametric excitation

Héctor Urra, Juan F. Marín, Milena Páez-Silva, Majid Taki, Saliya Coulibaly, Leonardo Gordillo, Mónica A. García-Ñustes

Comments: 10 pages, 9 figures, Accepted

Journal-ref: Phys. Rev. E 99, 033115 (2019)

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

[15] arXiv:1702.02764 [pdf, other]

Title: A new method to reduce the number of time delays in a network

Alexandre Wagemakers, Miguel A. F. Sanjuán

Subjects: Chaotic Dynamics (nlin.CD)

[16] arXiv:1702.02840 [pdf, other]

Title: Fractional Volterra Hierarchy

Si-Qi Liu, Youjin Zhang, Chunhui Zhou

Comments: 22 pages, 4 figures

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

[17] arXiv:1702.02911 [pdf, other]

Title: $G$-Strands on symmetric spaces

Alexis Arnaudon, Darryl D. Holm, Rossen I. Ivanov

Comments: To appear in Proceedings of the Royal Society A

Journal-ref: Proceedings of the Royal Society A 473, issue 2199 (2017); 20160795

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

[18] arXiv:1702.03190 [pdf, other]

Title: Driving the formation of the RbCs dimer by a laser pulse. A nonlinear dynamics approach

Cristel Chandre (I2M), J Mahecha, J Salas

Subjects: Chaotic Dynamics (nlin.CD); Atomic Physics (physics.atom-ph)

[19] arXiv:1702.03419 [pdf, other]

Title: Perpetual points: New tool for localization of co-existing attractors in dynamical systems

Dawid Dudkowski, Awadhesh Prasad, Tomasz Kapitaniak

Subjects: Chaotic Dynamics (nlin.CD)

[20] arXiv:1702.03642 [pdf, other]

Title: Backlund transformations and divisor doubling

A.V. Tsiganov

Comments: 13 pages, LaTeX with AMS fonts, 2 figures

Journal-ref: Journal of Geometry and Physics, v.126, p. 148-158, 2018

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

[21] arXiv:1702.03663 [pdf, other]

Title: Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics

Wenlong Wang, R.N. Bisset, C. Ticknor, R. Carretero-Gonzalez, D.J. Frantzeskakis, L.A. Collins, P.G. Kevrekidis

Comments: 10 pages, 8 figures

Journal-ref: Phys. Rev. A 95, 043638 (2017)

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

[22] arXiv:1702.03731 [pdf, other]

Title: Nonlocal Fordy - Kulish Equations on Symmetric Spaces

Metin Gurses

Comments: 10 pages, to be published in Physics Letters A

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

[23] arXiv:1702.03803 [pdf, other]

Title: Extended two dimensional equation for the description of nonlinear waves in gas-liquid mixture

Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, Alexander K. Volkov

Journal-ref: Applied Mathematics and Computation, 268, 581-589

Subjects: Pattern Formation and Solitons (nlin.PS)

[24] arXiv:1702.03912 [pdf, other]

Title: On multifractals: a non-linear study of actigraphy data

Lucas Gabriel Souza França, Pedro Montoya, José Garcia Vivas Miranda

Comments: Preprint accepted for publication at Physica A: Statistical Mechanics and its Applications

Subjects: Chaotic Dynamics (nlin.CD); Adaptation and Self-Organizing Systems (nlin.AO); Data Analysis, Statistics and Probability (physics.data-an); Quantitative Methods (q-bio.QM); Methodology (stat.ME)

[25] arXiv:1702.04010 [pdf, other]

Title: Kulish-Sklyanin type models: integrability and reductions

Vladimir S. Gerdjikov

Comments: 21 pages, 2 figures, some typos corrected

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

[26] arXiv:1702.04494 [pdf, other]

Title: Solitons with rings and vortex rings on solitons in nonlocal nonlinear media

V.M. Biloshytskyi, A.O. Oliynyk, P.M. Kruglenko, A.S. Desyatnikov, A.I. Yakimenko

Comments: 7 pages, 5 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[27] arXiv:1702.04533 [pdf, other]

Title: On a method for constructing the Lax pairs for integrable models via quadratic ansatz

Ismagil Habibullin, Aigul Khakimova

Comments: 16 pages

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

[28] arXiv:1702.04628 [pdf, other]

Title: Dynamics of the localized nonlinear waves in spin-1 Bose-Einstein condensates with time-space modulation

Yu-Qin Yao, Wei Han, Ji Li, Hui-lan Wu, Wu-Ming Liu

Comments: 18 pages, 6 figures

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

[29] arXiv:1702.04756 [pdf, other]

Title: Demonstrating an in-situ topological band transition in cylindrical granular chains

Rajesh Chaunsali, Aman Thakkar, Eunho Kim, Panayotis G. Kevrekidis, Jinkyu Yang

Journal-ref: Phys. Rev. Lett. 119, 024301 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

[30] arXiv:1702.04758 [pdf, other]

Title: From nothing to something II: nonlinear systems via consistent correlated bang

Sen-Yue Lou

Comments: 10 pages

Journal-ref: Chinese Physics Letters 34 (2017) 060201

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

[31] arXiv:1702.04838 [pdf, other]

Title: Qualitative models and experimental investigation of chaotic NOR gates and set/reset flip-flops

Aminur Rahman, Ian Jordan, Denis Blackmore

Comments: 19 pages, 14 figures, 2 tables

Subjects: Chaotic Dynamics (nlin.CD)

[32] arXiv:1702.04980 [pdf, other]

Title: Stability Through Asymmetry: Modulationally Stable Nonlinear Supermodes of Asymmetric non-Hermitian Optical Couplers

Yannis Kominis, Tassos Bountis, Sergej Flach

Comments: 12 pages, 5 figures

Journal-ref: Phys. Rev. A 95, 063832 (2017)

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

[33] arXiv:1702.05304 [pdf, other]

Title: Periodic orbits in nonlinear wave equations on networks

Jean-Guy Caputo, Imene Khames, Arnaud Knippel, Panayotis Panayotaros

Subjects: Pattern Formation and Solitons (nlin.PS)

[34] arXiv:1702.05326 [pdf, other]

Title: Control of amplitude chimeras by time delay in dynamical networks

Aleksandar Gjurchinovski, Eckehard Schöll, Anna Zakharova

Journal-ref: Phys. Rev. E 95, 042218 (2017)

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

[35] arXiv:1702.05583 [pdf, other]

Title: Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems

Avner Peleg, Quan M. Nguyen, Toan T. Huynh

Comments: 21 pages, 4 figures

Journal-ref: Eur. Phys. J. D (2017) 71: 315

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

[36] arXiv:1702.06561 [pdf, other]

Title: Chaos or Order?

Igor V. Ovchinnikov, Massimiliano Di Ventra

Comments: 6 pages

Journal-ref: Modern Physics Letters. B 33, 1950287 (2019)

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[37] arXiv:1702.06851 [pdf, other]

Title: Time-dependent spectral renormalization method

Justin T. Cole, Ziad H. Musslimani

Comments: Corrected version to be published in Physica D

Subjects: Pattern Formation and Solitons (nlin.PS)

[38] arXiv:1702.06987 [pdf, other]

Title: Dynamics of the multi-soliton waves in the sine-Gordon model with two identical point impurities

Azamat M Gumerov, Roman V Kudryavtsev, Evgenii G Ekomasov

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

[39] arXiv:1702.07008 [pdf, other]

Title: Dark Soliton Scattering in Symmetric and Asymmetric Double Potential Barriers

F. Tsitoura, Z. A. Anastassi, J. L. Marzuola, P. G. Kevrekidis, D. J. Frantzeskakis

Comments: 9 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[40] arXiv:1702.07047 [pdf, other]

Title: QRT maps and related Laurent systems

K. Hamad, A.N.W. Hone, P.H. van der Kamp, G.R.W. Quispel

Comments: Typos corrected and extra proposition added with detailed justification of the tropical version in the additive case. Version accepted by Advances in Applied Mathematics

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

[41] arXiv:1702.07130 [pdf, other]

Title: Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate

Li-Chen Zhao, Liming Ling, Jian-wen Qi, Zhan-Ying Yang, Wen-Li Yang

Comments: 8 pages, 8 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[42] arXiv:1702.07188 [pdf, other]

Title: Stationary patterns in star networks of bistable units: Theory and application to chemical reactions

Nikos E Kouvaris, Michael Sebek, Albert Iribarne, Albert Diaz-Guilera, Istvan Z Kiss

Comments: 9 pages, 8 figures

Journal-ref: Phys. Rev. E 95, 042203 (2017)

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

[43] arXiv:1702.07279 [pdf, other]

Title: Revealing the basins of convergence in the planar equilateral restricted four-body problem

Euaggelos E. Zotos

Comments: Published in Astrophysics and Space Science (A&SS) journal

Journal-ref: A&SS, vol. 362:2 (2017)

Subjects: Chaotic Dynamics (nlin.CD)

[44] arXiv:1702.07395 [pdf, other]

Title: Boundary-Driven Anomalous Spirals in Oscillatory Media

David A. Kessler, Herbert Levine

Subjects: Pattern Formation and Solitons (nlin.PS)

[45] arXiv:1702.07401 [pdf, other]

Title: An Approximation Method for the Scattering Data of One-Dimensional Soliton Equations under Arbitrary Rapidly-Decreasing Initial Pulses

Hironobu Fujishima, Tetsu Yajima

Comments: to appear in Journal of the Physical Society of Japan

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

[46] arXiv:1702.07575 [pdf, other]

Title: On radiating solitary waves in bi-layers with delamination and coupled Ostrovsky equations

K. R. Khusnutdinova, M. R. Tranter

Comments: 17 pages, 10 figures. Accepted for publication in Chaos (2017)

Journal-ref: Chaos 27, 013112 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS)

[47] arXiv:1702.07597 [pdf, other]

Title: Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State Space Geometry

Igor Mezic

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

[48] arXiv:1702.08085 [pdf, other]

Title: Spatiotemporal algebraically localized waveforms for a nonlinear Schr\"odinger model with gain and loss

Z. A. Anastassi, G. Fotopoulos, D. J. Frantzeskakis, T. P. Horikis, N. I. Karachalios, P. G. Kevrekidis, I. G. Stratis, K. Vetas

Comments: 13 pages, 8 figures. To appear in Physica D

Subjects: Pattern Formation and Solitons (nlin.PS)

[49] arXiv:1702.08086 [pdf, other]

Title: Finite size and finite temperature studies of the $osp(1|2)$ spin chain

T.S. Tavares, G.A.P. Ribeiro

Comments: 26 pages, 2 figures

Journal-ref: Nucl. Phys. B, 921 (2017) 357

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)

[50] arXiv:1702.08292 [pdf, other]

Title: Rate of Convergence of General Phase Field Equations towards their Homogenized Limit

M. Schmuck, S. Kalliadasis

Comments: arXiv admin note: substantial text overlap with arXiv:1310.1499

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