Nonlinear Sciences

Authors and titles for June 2021

[1] arXiv:2106.00539 [pdf, other]

Title: On solutions for some class of integrable difference equations

Andrei K. Svinin

Comments: 16 pages

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

[2] arXiv:2106.00644 [pdf, other]

Title: A normal form for grid forming power grid actors

Raphael Kogler, Anton Plietzsch, Paul Schultz, Frank Hellmann

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

[3] arXiv:2106.00741 [pdf, other]

Title: Gauge Miura and Backlund Transformations for Generalized $A_n$-KdV Hierarchies

J.M. de Carvalho Ferreira, J.F. Gomes, G.V. Lobo and. A.H. Zimerman

Comments: Latex 18 pages, corrections and improvements in the text

Journal-ref: J. Phys. A54, (2021),435201

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

[4] arXiv:2106.01103 [pdf, other]

Title: Coherent soliton states hidden in phase-space and stabilized by gravitational incoherent structures

Josselin Garnier, Kilian Baudin, Adrien Fusaro, Antonio Picozzi

Journal-ref: Phys. Rev. Lett. 127, 014101 (2021)

Subjects: Pattern Formation and Solitons (nlin.PS)

[5] arXiv:2106.01118 [pdf, other]

Title: Koopman spectral analysis of elementary cellular automata

Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara, Yoshihiro Yamazaki, Hiroya Nakao

Comments: 29 pages, 9 figures

Journal-ref: Chaos 31, 103121 (2021)

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Dynamical Systems (math.DS)

[6] arXiv:2106.01141 [pdf, other]

Title: The Generalization of the Periodic Orbit Dividing Surface in Hamiltonian Systems with three or more degrees of freedom -- I

M. Katsanikas, S. Wiggins

Comments: 26 pages, 8 figures, accepted for publication in the International Journal of Bifurcation and Chaos

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Chemical Physics (physics.chem-ph)

[7] arXiv:2106.01339 [pdf, other]

Title: Transition criteria and phase space structures in a three degree of freedom system with dissipation

Jun Zhong, Shane D. Ross

Comments: 26 pages, 6 figures

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

[8] arXiv:2106.01502 [pdf, other]

Title: The fractional nonlinear electrical lattice

Mario I. Molina

Comments: 6 pages, 6 figures

Journal-ref: Phys. Rev. E 104, 024219 (2021)

Subjects: Pattern Formation and Solitons (nlin.PS)

[9] arXiv:2106.01824 [pdf, other]

Title: Interacting Swarm Sensing and Stabilization

Ira B. Schwartz, Victoria Edwards, Jason Hindes

Comments: 13 pages, 9 figures

Journal-ref: NATO STO - Meeting Proceedings Paper, Publication Reference: STO-MP-SCI-341, Published: 5/18/2021

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

[10] arXiv:2106.02123 [pdf, other]

Title: Dynamics of a hybrid cubic vibro-impact oscillator and nonlinear energy sink

Maor Farid

Comments: arXiv admin note: substantial text overlap with arXiv:2104.07757; text overlap with arXiv:2105.08794

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

[11] arXiv:2106.02336 [pdf, other]

Title: On an inverse scattering transform for the nonlinear Sch\"odinger equation on the half-line

Cheng Zhang

Comments: version 2, minor corrections, 30 pages, 8 figures, 1 table

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

[12] arXiv:2106.02816 [pdf, other]

Title: New approach to quasi synchronization of coupled heterogeneous complex networks

Tianping Chen

Subjects: Chaotic Dynamics (nlin.CD)

[13] arXiv:2106.02912 [pdf, other]

Title: Explosive synchronization and chimera in interpinned multilayer networks

Ajay Deep Kachhvah, Sarika Jalan

Comments: 6 pages, 6 figures

Journal-ref: Phys. Rev. E 104, L042301 (2021)

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

[14] arXiv:2106.03025 [pdf, other]

Title: Frequency chimera state induced by differing dynamical timescales

Sneha Kachhara, G. Ambika

Comments: 9 pages, 10 figures

Journal-ref: Physical Review E 104, 064214 (2021)

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

[15] arXiv:2106.03358 [pdf, other]

Title: Ray engineering from chaos to order in two-dimensional optical cavities

Chenni Xu, Li-Gang Wang, Patrick Sebbah

Subjects: Chaotic Dynamics (nlin.CD); Optics (physics.optics)

[16] arXiv:2106.03405 [pdf, other]

Title: Mechanisms for transient localization in a diatomic nonlinear chain

Stefano Lepri, Francesco Piazza

Comments: Accepted for publication in Communication in Nonlinear Science and Numerical Simulations

Journal-ref: Communications in Nonlinear Science and Numerical Simulation, Volume 102 (2021) 105913

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

[17] arXiv:2106.03835 [pdf, other]

Title: Negative Times of the Davey-Stewartson Integrable Hierarchy

Andrei K. Pogrebkov

Journal-ref: SIGMA 17 (2021), 091, 12 pages

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

[18] arXiv:2106.03870 [pdf, other]

Title: Fermi-Pasta-Ulam phenomena and persistent breathers in the harmonic trap

Anxo Biasi, Oleg Evnin, Boris A. Malomed

Comments: v2: cosmetic improvements, published version

Journal-ref: Phys. Rev. E 104, 034210 (2021)

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

[19] arXiv:2106.04069 [pdf, other]

Title: Chirped periodic and solitary waves in nonlinear negative index materials

Houria Triki, Vladimir I. Kruglov

Subjects: Pattern Formation and Solitons (nlin.PS)

[20] arXiv:2106.05226 [pdf, other]

Title: Vector vortex solitons and soliton control in vertical-cavity surface-emitting lasers

T. Ackemann, T. Guillet, H. Pulham, G.-L. Oppo

Journal-ref: Springer Series in Optical Sciences (2022)

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

[21] arXiv:2106.05413 [pdf, other]

Title: Solitary waves with intensity-dependent dispersion: variational characterization

D. E. Pelinovsky, R. M. Ross, P. G. Kevrekidis

Comments: 15 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[22] arXiv:2106.05446 [pdf, other]

Title: Symmetry-breaking bifurcations and ghost states in the fractional nonlinear Schr\"{o}dinger equation with a PT-symmetric potential

Pengfei Li, Boris A. Malomed, Dumitru Mihalache

Comments: 8 pages, 4 figures, to be published in Optics Letters

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

[23] arXiv:2106.05510 [pdf, other]

Title: Symmetrical emergence of extreme events at multiple regions in a damped and driven velocity-dependent mechanical system

Sudharsan S, Venkatesan A, Senthilvelan M

Comments: 19 pages, 9 figures, To appear in Physica Scritpa (2021)

Subjects: Chaotic Dynamics (nlin.CD)

[24] arXiv:2106.05709 [pdf, other]

Title: Basins with tentacles

Yuanzhao Zhang, Steven H. Strogatz

Comments: published version

Journal-ref: Phys. Rev. Lett. 127, 194101 (2021)

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

[25] arXiv:2106.05892 [pdf, other]

Title: Emergence of a giant rotating cluster of fish in three dimensions by local interactions

Susumu Ito, Nariya Uchida

Comments: 8 pages, 4 figures

Journal-ref: J. Phys. Soc. Jpn. 91, 064806 (2022)

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

[26] arXiv:2106.05940 [pdf, other]

Title: Two-component nonlinear wave of the Born-Infeld equation

G. T. Adamashvili

Comments: arXiv admin note: substantial text overlap with arXiv:2105.06735

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

[27] arXiv:2106.06122 [pdf, other]

Title: Lateral contact yields longitudinal cohesion in active undulatory systems

Wei Zhou, Jaquelin Dezha Peralta, Zhuonan Hao, Nick Gravish

Comments: 13 pages, 10 figures

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Soft Condensed Matter (cond-mat.soft)

[28] arXiv:2106.06354 [pdf, other]

Title: On the mKdV equations related to the Kac-Moody algebras $A_5^{(1)}$ and $A_5^{(2)}$

Vladimir S. Gerdjikov

Comments: 21 pages, 2 Figures 3 Tables

Journal-ref: Ufa Mathematical Journal. Vol. 13:2, 121--140, (2021)

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

[29] arXiv:2106.06511 [pdf, other]

Title: Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems

Lionel Barnett, Anil K. Seth

Comments: 40 pages, 7 figures

Journal-ref: Phys. Rev. E 108, 014304, 2023

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

[30] arXiv:2106.06737 [pdf, other]

Title: Pattern formation of vascular network in a mathematical model of angiogenesis

Jun Mada, Tetsuji Tokihiro

Subjects: Pattern Formation and Solitons (nlin.PS)

[31] arXiv:2106.06763 [pdf, other]

Title: Recursion operators in the cotangent covering of the rdDym equation

I.S. Krasil'shchik, A.M. Verbovetsky

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

[32] arXiv:2106.06809 [pdf, other]

Title: Chimera states for directed networks

Patrycja Jaros, Roman Levchenko, Tomasz Kapitaniak, Yuri Maistrenko

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

[33] arXiv:2106.07119 [pdf, other]

Title: Stability of twisted states on lattices of Kuramoto oscillators

Monica Goebel, Matthew S Mizuhara, Sofia Stepanoff

Comments: 14 pages, 5 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[34] arXiv:2106.07129 [pdf, other]

Title: A Path-Counting Analysis of Phase Shifts in Box-Ball Systems

Nicholas M. Ercolani, Jonathan Ramalheira-Tsu

Journal-ref: SIGMA 18 (2022), 063, 42 pages

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

[35] arXiv:2106.07388 [pdf, other]

Title: Nonhomogeneous Dispersive Water Waves and Painlev\'{e} equations

Maciej Błaszak

Comments: 6 pages

Journal-ref: Open Communications in Nonlinear Mathematical Physics, Volume 1 (July 23, 2021) ocnmp:7602

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

[36] arXiv:2106.08268 [pdf, other]

Title: Geometry of shallow-water dynamics with thermodynamics

F.J. Beron-Vera

Comments: This is review work (with a novel result on an overlooked connection with earlier work) carried out during the Aspen Center for Physics workshop Transport and Mixing of Tracers in Geophysics and Astrophysics, which has motivated original ongoing work

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

[37] arXiv:2106.08375 [pdf, other]

Title: Modern Perspectives on Near-Equilibrium Analysis of Turing Systems

Andrew L. Krause, Eamonn A. Gaffney, Philip K. Maini, Václav Klika

Comments: 21 pages, 6 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Cell Behavior (q-bio.CB)

[38] arXiv:2106.08400 [pdf, other]

Title: Traveling chimera patterns in two-dimensional neuronal network

Gael R. Simo, Patrick Louodop, Dibakar Ghosh, Thierry Njougou, Robert Tchitnga, Hilda A. Cerdeira

Comments: 8 pages, 8 figures, Accepted for publication in Physics Letters A (2021)

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

[39] arXiv:2106.08483 [pdf, other]

Title: Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators

Mark J. Ablowitz, Justin T. Cole, Pipi Hu, Peter Rosenthal

Journal-ref: Physical Review E (2021)

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

[40] arXiv:2106.08577 [pdf, other]

Title: An algebraic criterion of the Darboux integrability of differential-difference equations and systems

I. T. Habibullin, M. N. Kuznetsova

Comments: 21 pages

Journal-ref: Journal of Physics A: Mathematical and Theoretical, 54 (2021), 505201 , 20 pp

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

[41] arXiv:2106.09130 [pdf, other]

Title: Tetrahedron maps, Yang-Baxter maps, and partial linearisations

S. Igonin, V. Kolesov, S. Konstantinou-Rizos, M.M. Preobrazhenskaia

Comments: 23 pages; v2: new results and references added, minor corrections made

Journal-ref: J. Phys. A: Math. Theor. 54 (2021), 505203

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

[42] arXiv:2106.09602 [pdf, other]

Title: Integrable systems of the intermediate long wave type in 2+1 dimensions

B. Gormley, E.V. Ferapontov, V.S. Novikov, M.V. Pavlov

Comments: 15 pages

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

[43] arXiv:2106.09638 [pdf, other]

Title: Improved Majority Identification by the Coarsened Majority Automaton

David Peak, Charles G. Torre, Jenny R. Whiteley

Comments: 9 pages, 5 figures

Journal-ref: Complex Systems, 2022

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

[44] arXiv:2106.10215 [pdf, other]

Title: Arnold web and dynamical tunneling in a four-site Bose-Hubbard model

Sourav Karmakar, Srihari Keshavamurthy

Comments: 14 pages 8 figures; Modified as per referee suggestions; Accepted in Physica D special issue on Chaos indicators

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

[45] arXiv:2106.10263 [pdf, other]

Title: Pattern selection in the Schnakenberg equations: From normal to anomalous diffusion

Hatim Khudhair, Yanzhi Zhang, Nobuyuki Fukawa

Comments: 18 pages, 13 figures

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

[46] arXiv:2106.10301 [pdf, other]

Title: Diameter mean equicontinuity and cellular automata

Luguis de los Santos Baños, Felipe García-Ramos

Comments: In Proceedings of the 27th International Workshop on Cellular Automata and Discrete Complex Systems. arXiv admin note: substantial text overlap with arXiv:2106.09641

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

[47] arXiv:2106.10725 [pdf, other]

Title: Analytical and numerical study of the hidden boundary of practical stability: complex versus real Lorenz systems

N.V. Kuznetsov, T.N. Mokaev, A.A.-H. Shoreh, A. Prasad, M.D. Shrimali

Subjects: Chaotic Dynamics (nlin.CD)

[48] arXiv:2106.10788 [pdf, other]

Title: The Simplest Viscous Flow

William Graham Hoover, Carol Griswold Hoover

Comments: 26 pages with 9 figures destined for CMST. Expanded Acknowledgement and Second-Order Runge-Kutta Addendum

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

[49] arXiv:2106.10930 [pdf, other]

Title: Unbalanced clustering and solitary states in coupled excitable systems

Igor Franović, Sebastian Eydam, Nadezhda Semenova, Anna Zakharova

Comments: 6 pages, 5 figures

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

[50] arXiv:2106.11024 [pdf, other]

Title: A deep learning method for solving high-order nonlinear soliton equation

Shikun Cui, Zhen Wang, Jiaqi Han, Xinyu Cui

Subjects: Pattern Formation and Solitons (nlin.PS)