Nonlinear Sciences

Authors and titles for December 2017

[1] arXiv:1712.00112 [pdf, other]

Title: Self-organized Clusters in Diffusive Run-and-Tumble Processes

Patrick Flynn, Quinton Neville, Arnd Scheel

Comments: 18 pages

Subjects: Pattern Formation and Solitons (nlin.PS)

[2] arXiv:1712.00191 [pdf, other]

Title: Asymptotic Behaviours Given by Elliptic Functions in $P_I$--$P_V$

Nalini Joshi, Elynor Liu

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

[3] arXiv:1712.00417 [pdf, other]

Title: Stability and Dynamics of Microring Combs: Elliptic function solutions of the Lugiato-Lefever equation

Chang Sun, Travis Askham, J. Nathan Kutz

Comments: orig: 13 pages, 14 figures. post-peer-review update 1: 13 pages 11 figures, corrected derivation of modulation equations, corrected proof of prop 1, numerical results and conclusions unchanged, fixed typos, added refs to background section, clarifications, aesthetic changes to figs, removed unnecessary background

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

[4] arXiv:1712.00458 [pdf, other]

Title: Chimera States in Continuous Media: Existence and Distinctness

Zachary G. Nicolaou, Hermann Riecke, Adilson E. Motter

Comments: Supplemental animation at article webpage: this http URL

Journal-ref: Phys. Rev. Lett. 119, 244101 (2017)

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

[5] arXiv:1712.00647 [pdf, other]

Title: A globally stable attractor that is locally unstable everywhere

Phanindra Tallapragada, Senbagaraman Sudarsanam

Subjects: Chaotic Dynamics (nlin.CD)

[6] arXiv:1712.00921 [pdf, other]

Title: Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators

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

Comments: 24pages, 19 Figures, Accepted for Publication in Communications in Nonlinear Science and Numerical Simulation

Subjects: Chaotic Dynamics (nlin.CD)

[7] arXiv:1712.00945 [pdf, other]

Title: Breather to the Yajima-Oikawa system

Junchao Chen, Yong Chen, Bao-Feng Feng, Ken-ichi Maruno

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

[8] arXiv:1712.00965 [pdf, other]

Title: An Application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type

Xiang-Ke Chang, Xing-Biao Hu, Shi-Hao Li, Jun-Xiao Zhao

Comments: 33pages

Journal-ref: Advances in Mathematics 338:1077-1118, 2018

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

[9] arXiv:1712.01181 [pdf, other]

Title: General $N$-solitons and their dynamics in several nonlocal nonlinear Schr\"odinger equations

Jianke Yang

Comments: 11 pages, 6 figures

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

[10] arXiv:1712.01270 [pdf, other]

Title: Finite-time and exact Lyapunov dimension of the Henon map

N.V. Kuznetsov, G.A. Leonov, T.N. Mokaev

Comments: arXiv admin note: text overlap with arXiv:1504.04723

Subjects: Chaotic Dynamics (nlin.CD)

[11] arXiv:1712.01523 [pdf, other]

Title: Amplitude bounds for biochemical oscillators

David J. Jörg

Comments: 6 pages, 4 figures

Journal-ref: EPL (Europhysics Letters) 119, 58004 (2017)

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

[12] arXiv:1712.01610 [pdf, other]

Title: Bistability in Two Simple Symmetrically Coupled Oscillators with Symmetry-broken Amplitude- and Phase-Locking

André Röhm, Kathy Lüdge, Isabelle Schneider

Journal-ref: Chaos 28, 063114 (2018)

Subjects: Chaotic Dynamics (nlin.CD)

[13] arXiv:1712.01730 [pdf, other]

Title: Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants

Xiao-Min Chen, Xing-Biao Hu, Folkert Müller-Hoissen

Comments: 31 pages, 3rd version: introduction extended, part of Section 2 moved there, Appendix D added, additional references, to appear in Nonlinearity

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

[14] arXiv:1712.01873 [pdf, other]

Title: Dynamical analysis of bounded and unbounded orbits in a generalized H\'enon-Heiles system

F. L. Dubeibe, A. Riaño-Doncel, Euaggelos E. Zotos

Comments: 7 pages, 5 figures

Journal-ref: Physics Letters A 382 (2018) 904

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

[15] arXiv:1712.02059 [pdf, other]

Title: Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations

Lili Huang, Yong Chen

Comments: 19 pages, 10 figures

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

[16] arXiv:1712.02079 [pdf, other]

Title: Traveling waves and localized structures: An alternative view of nonlinear evolution equations

Yair Zarmi

Comments: 28 pages, 14 figures

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

[17] arXiv:1712.02203 [pdf, other]

Title: Causal Unit of Rotors in a Cardiac System

Hiroshi Ashikaga, Francisco Prieto-Castrillo, Mari Kawakatsu, Nima Dehghani

Comments: 19 pages, 9 figures. arXiv admin note: text overlap with arXiv:1711.10126

Journal-ref: Front. Phys., 10 April 2018 | https://doi.org/10.3389/fphy.2018.00030

Subjects: Pattern Formation and Solitons (nlin.PS); Quantitative Methods (q-bio.QM)

[18] arXiv:1712.02341 [pdf, other]

Title: Solving and classifying the solutions of the Yang-Baxter equation through a differential approach. Two-state systems

R. S. Vieira

Comments: Final version. 40 pages, 3 tables. Keywords: Yang-Baxter Equation, Lattice Integrable Models, Eight-Vertex Model, Bethe Ansatz, Differential and Algebraic Geometry

Journal-ref: Vieira, R.S. J. High Energ. Phys. (2018) 2018: 110. https://doi.org/10.1007/JHEP10(2018)110

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[19] arXiv:1712.02559 [pdf, other]

Title: Parity bifurcations in trapped multistable phase locked exciton-polariton condensates

E.Z. Tan, H. Sigurdsson, T. C. H. Liew

Comments: 9 pages, 10 figures

Journal-ref: Phys. Rev. B 97, 075305 (2018)

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

[20] arXiv:1712.02665 [pdf, other]

Title: Many-body quantum chaos: Analytic connection to random matrix theory

Pavel Kos, Marko Ljubotina, Tomaz Prosen

Comments: 10 pages in RevTex with 4 figures and a few diagrams; v3: version accepted by PRX

Journal-ref: Phys. Rev. X 8, 021062 (2018)

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Quantum Physics (quant-ph)

[21] arXiv:1712.02695 [pdf, other]

Title: Experiments with arbitrary networks in time-multiplexed delay systems

Joseph D. Hart, Don C. Schmadel, Thomas E. Murphy, Rajarshi Roy

Subjects: Chaotic Dynamics (nlin.CD); Applied Physics (physics.app-ph)

[22] arXiv:1712.03245 [pdf, other]

Title: Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together

Yuanzhao Zhang, Adilson E. Motter

Comments: 26 pages, 7 figures

Journal-ref: Nonlinearity 31 (1), R1-R23 (2018)

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

[23] arXiv:1712.03289 [pdf, other]

Title: Chaotic bursting in semiconductor lasers

S. Ruschel, S. Yanchuk

Comments: 22 pages, 7 figures

Journal-ref: S. Ruschel, S. Yanchuk, Chaos 27, 114313 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS)

[24] arXiv:1712.03292 [pdf, other]

Title: Evaluating the Robustness of Rogue Waves Under Perturbations

C. B. Ward, P. G. Kevrekidis, N. Whitaker

Comments: 6 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[25] arXiv:1712.03375 [pdf, other]

Title: Weakly nonergodic dynamics in the Gross--Pitaevskii lattice

Mithun Thudiyangal, Yagmur Kati, Carlo Danieli, Sergej Flach

Comments: 8 pages, 5 figures

Journal-ref: Phys. Rev. Lett. 120, 184101 (2018)

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

[26] arXiv:1712.03788 [pdf, other]

Title: On Darboux integrable semi-discrete systems of exponential type

Kostyantyn Zheltukhin, Ergun Bilen

Comments: 12 pages

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

[27] arXiv:1712.03803 [pdf, other]

Title: Transition to Collective Oscillations in Finite Kuramoto Ensembles

Franziska Peter, Arkady Pikovsky

Comments: 11 pages, 8 figures, Editors' Suggestion PRE

Journal-ref: Phys. Rev. E 97, 032310 (2018)

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

[28] arXiv:1712.03839 [pdf, other]

Title: Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling

Evgeny A. Grines, Alexei O. Kazakov, Igor R. Sataev

Comments: 7 pages, 4 figures

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

[29] arXiv:1712.03883 [pdf, other]

Title: Functionally Fractal Urban Networks: Geospatial Co-location and Homogeneity of Infrastructure

Christopher Klinkhamer, Elisabeth Krueger, Xianyuan Zhan, Frank Blumensaat, Satish Ukkusuri, P. Suresh C. Rao

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

[30] arXiv:1712.04352 [pdf, other]

Title: Mean-field approach for frequency synchronization in complex networks of two oscillator types

Stefan Wieland, Simone Blanco Malerba, Sébastien Aumaitre, Hervé Bercegol

Comments: 17 pages, 4 figures; largely revised

Journal-ref: Phys. Rev. E 97, 052310 (2018)

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

[31] arXiv:1712.04498 [pdf, other]

Title: Pixel-Level Statistical Analyses of Prescribed Fire Spread

Miles Currie, Kevin Speer, Kevin Hiers, Joseph O'Brien, Scott Goodrick, Bryan Quaife

Comments: 14 pages, 7 figures, 2 tables

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Probability (math.PR); Atmospheric and Oceanic Physics (physics.ao-ph)

[32] arXiv:1712.04693 [pdf, other]

Title: Rings on strings in excitable media

Fabian Maucher, Paul Sutcliffe

Comments: 17 pages, 11 figures. To appear in Journal of Physics A

Journal-ref: Journal of Physics A 51, 055102 (2018)

Subjects: Pattern Formation and Solitons (nlin.PS); Soft Condensed Matter (cond-mat.soft); High Energy Physics - Theory (hep-th); Fluid Dynamics (physics.flu-dyn)

[33] arXiv:1712.04815 [pdf, other]

Title: Circuit Bounds on Stochastic Transport in the Lorenz Equations

Scott Weady, Sahil Agarwal, Larry Wilen, John Wettlaufer

Subjects: Chaotic Dynamics (nlin.CD)

[34] arXiv:1712.05284 [pdf, other]

Title: Adaptation to criticality through organizational invariance in embodied agents

Miguel Aguilera, Manuel G. Bedia

Comments: arXiv admin note: substantial text overlap with arXiv:1704.05255

Journal-ref: Aguilera, M., & Bedia, M. G. (2018). Adaptation to criticality through organizational invariance in embodied agents. Scientific reports, 8(1), 7723

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)

[35] arXiv:1712.05357 [pdf, other]

Title: Separatrix crossing in rotation of a body with changing geometry of masses

Jinrong Bao, Anatoly Neishtadt

Comments: 18 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD)

[36] arXiv:1712.05568 [pdf, other]

Title: Exact relations between homoclinic and periodic orbit actions in chaotic systems

Jizhou Li, Steven Tomsovic

Comments: 15 pages, 6 figures

Journal-ref: Phys. Rev. E 97, 022216 (2018)

Subjects: Chaotic Dynamics (nlin.CD)

[37] arXiv:1712.05774 [pdf, other]

Title: Traveling pulse emerges from individuals coordinating their stop-and-go motion: a case study in sheep

Manon Azaïs, Stéphane Blanco, Richard Bon, Richard Fournier, Marie-Hélène Pillot, Jacques Gautrais

Subjects: Pattern Formation and Solitons (nlin.PS); Adaptation and Self-Organizing Systems (nlin.AO); Biological Physics (physics.bio-ph); Other Quantitative Biology (q-bio.OT)

[38] arXiv:1712.05974 [pdf, other]

Title: General rogue waves and their dynamics in several reverse time integrable nonlocal nonlinear equations

Bo Yang, Yong Chen

Comments: 22 pages, 12 figures

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

[39] arXiv:1712.06011 [pdf, other]

Title: The influence of noise on two- and three-frequency quasi-periodicity in a simple model system

A.P. Kuznetsov, S.P. Kuznetsov, Yu.V. Sedova

Comments: 11 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD)

[40] arXiv:1712.06334 [pdf, other]

Title: Breathers and solitons on two different backgrounds in a generalized coupled Hirota system with four wave mixing

Han-Xiang Xu, Zhan-Ying Yang, Li-Chen Zhao, Liang Duan, Wen-Li Yang

Journal-ref: Phys. Lett. A 382, 26 (2018)

Subjects: Pattern Formation and Solitons (nlin.PS)

[41] arXiv:1712.06426 [pdf, other]

Title: Critical neural networks with short and long term plasticity

L. Michiels van Kessenich, M. Luković, L. de Arcangelis, H. J. Herrmann

Comments: 8 pages, 7 figures

Journal-ref: Phys. Rev. E 97, 032312 (2018)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Neurons and Cognition (q-bio.NC)

[42] arXiv:1712.06434 [pdf, other]

Title: Control energy scaling in temporal networks

Aming Li, Sean P. Cornelius, Yang-Yu Liu, Long Wang, Albert-László Barabási

Comments: 48 pages, 7 figures

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

[43] arXiv:1712.06449 [pdf, other]

Title: An initial-boundary value problem for the coupled focusing-defocusing complex short pulse equation with a $4\times4$ Lax pair

Beibei Hu, Tiecheng Xia, Wen-xiu Ma

Comments: 20 pages, 4 figures. arXiv admin note: text overlap with arXiv:1704.03623

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

[44] arXiv:1712.06613 [pdf, other]

Title: Network-complement transitions, symmetries, and cluster synchronization

Takashi Nishikawa, Adilson E. Motter

Comments: Matches the published version

Journal-ref: Chaos 26, 094818 (2016)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Physics and Society (physics.soc-ph)

[45] arXiv:1712.06625 [pdf, other]

Title: Self-induced Faraday instability laser

A. M. Perego, S. V. Smirnov, K. Staliunas, D. V. Churkin, S. Wabnitz

Journal-ref: Phys. Rev. Lett. 120, 213902 (2018)

Subjects: Pattern Formation and Solitons (nlin.PS)

[46] arXiv:1712.06854 [pdf, other]

Title: Bilinear approach to Kuperschmidt super-KdV type equations

Corina N. Babalic, A. S. Carstea

Comments: 12 pages

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

[47] arXiv:1712.07063 [pdf, other]

Title: Reductions of the universal hierarchy and rdDym equations and their symmetry properties

P. Holba, I.S. Krasil'shchik, O.I. Morozov, P. Vojcak

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

[48] arXiv:1712.07321 [pdf, other]

Title: On superintegrable systems separable in Cartesian coordinates

Yu. A. Grigoriev, A.V. Tsiganov

Comments: 8 pages, LaTeX with AMS fonts, with corrected misprints

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

[49] arXiv:1712.07460 [pdf, other]

Title: Symmetries and synchronization in multilayer random networks

Alberto Saa

Comments: 11 pages, 9 figure, final version accepted for publication in the PRE

Journal-ref: Phys. Rev. E 97, 042304 (2018)

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

[50] arXiv:1712.07573 [pdf, other]

Title: Localized Patterns in Periodically Forced Systems: II. Patterns with Non-Zero Wavenumber

A. S. Alnahdi, J. Niesen, A. M. Rucklidge

Comments: 24 pages. v2: Several clarifications and other corrections as suggested by referees

Journal-ref: SIAM J. Appl. Dynam. Systems 17 (2018) 1478-1502

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