Nonlinear Sciences

Authors and titles for Dec 2022

[1]  arXiv:2212.00963 [pdf, ps, other]

Title: Yang-Baxter maps and independence preserving property

Authors: Makiko Sasada, Ryosuke Uozumi

Comments: 19 pages

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

[2]  arXiv:2212.00971 [pdf, other]

Title: Discovering Governing Equations in Discrete Systems Using PINNs

Authors: Sheikh Saqlain, Wei Zhu, Efstathios G. Charalampidis, Panayotis G. Kevrekidis

Comments: 19 pages, 5 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[3]  arXiv:2212.00988 [pdf, ps, other]

Title: Synchronization in repulsively coupled oscillators

Authors: Simin Mirzaei, Md Sayeed Anwar, Fatemeh Parastesh, Sajad Jafari, Dibakar Ghosh

Comments: Accepted for publication in Physical Review E

Subjects: Chaotic Dynamics (nlin.CD); Adaptation and Self-Organizing Systems (nlin.AO); Applied Physics (physics.app-ph)

[4]  arXiv:2212.01081 [pdf, ps, other]

Title: Synchronization in temporal simplicial complexes

Authors: Md Sayeed Anwar, Dibakar Ghosh

Comments: 18 pages, 9 figures, any comments are welcome

Journal-ref: SIAM Journal on Applied Dynamical Systems, 2023

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

[5]  arXiv:2212.01244 [pdf, other]

Title: Rate-induced tipping can trigger plankton blooms

Authors: Anna Vanselow, Lukas Halekotte, Pinaki Pal, Sebastian Wieczorek, Ulrike Feudel

Comments: 11 figures

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

[6]  arXiv:2212.01250 [pdf, ps, other]

Title: Discontinuous codimension-two bifurcation in a Vlasov equation

Authors: Yoshiyuki Y. Yamaguchi, Julien Barré

Comments: 14 pages, 10 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[7]  arXiv:2212.01252 [pdf, ps, other]

Title: Transfer Loop and Statistical Equilibrium of Korteweg-de Vries-Burgers Systems Associated to Classical Nonlinear Acoustics and Quantum Shock Waves

Authors: Jian-Zhou Zhu

Comments: typos, especially the one in the dispersion term of equation 1, are corrected; figures replaced with eps files with vector render type for higher quality (when zoomed in)

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn)

[8]  arXiv:2212.01297 [pdf, other]

Title: From Turing patterns to chimera states in the 2D Brusselator model

Authors: Astero Provata

Comments: 14 pages, 12 pages

Subjects: Chaotic Dynamics (nlin.CD); Pattern Formation and Solitons (nlin.PS); Chemical Physics (physics.chem-ph)

[9]  arXiv:2212.01413 [pdf, ps, other]

Title: Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas

Authors: Pierandrea Vergallo, Evgeny V. Ferapontov

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

[10]  arXiv:2212.01459 [pdf, other]

Title: Patterns on logistic map: back to front

Authors: João Valle, Odemir M. Bruno

Comments: 10 pages, 2 figures

Subjects: Chaotic Dynamics (nlin.CD)

[11]  arXiv:2212.01646 [pdf, ps, other]

Title: Darboux transformation and soliton solutions of the generalized Sasa-Satsuma equation

Authors: Hong-Qian Sun, Zuo-Nong Zhu

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

[12]  arXiv:2212.01724 [pdf, ps, other]

Title: Jack polynomials, $\hbar$-dependent KP hierarchy and affine Yangian of ${\mathfrak{gl}}(1)$

Authors: Na Wang, Can Zhang, Ke Wu

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

[13]  arXiv:2212.02063 [pdf, other]

Title: Classification of semidiscrete hyperbolic type equations. The case of third order symmetries

Authors: R.N. Garifullin

Comments: 15 pages (in Russian)

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

[14]  arXiv:2212.02092 [pdf, ps, other]

Title: Inverse scattering method for nonlinear Klein--Gordon equation coupled with a scalar field

Authors: Mansur I. Ismailov, Cihan Sabaz

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

[15]  arXiv:2212.02134 [pdf, other]

Title: Dirac Solitons and Topological Edge States in the $β$-Fermi-Pasta-Ulam-Tsingou dimer lattice

Authors: Rajesh Chaunsali, Panayotis G. Kevrekidis, Dimitri Frantzeskakis, Georgios Theocharis

Comments: 13 pages, 9 figures (Multiscale analysis is updated)

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

[16]  arXiv:2212.02211 [pdf, other]

Title: Identifying Discrete Breathers Using Convolutional Neural Networks

Authors: T. Dogkas, M. Eleftheriou, G. D. Barmparis, G. P. Tsironis

Subjects: Pattern Formation and Solitons (nlin.PS)

[17]  arXiv:2212.02786 [pdf, other]

Title: Solvable Limits of a class of generalized Vector Nonlocal Nonlinear Schrödinger equation with balanced loss-gain

Authors: Supriyo Ghosh, Pijush K. Ghosh

Comments: To appear in Physica Scripta

Journal-ref: Phys. Scr. 98 115214 (2023)

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

[18]  arXiv:2212.03316 [pdf, ps, other]

Title: Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model

Authors: Yu.V. Sedletsky, I.S. Gandzha

Comments: 10 pages, 2 figures

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

[19]  arXiv:2212.03352 [pdf, other]

Title: Complex Dynamics of the Implicit Maps Derived from Iteration of Newton and Euler Method

Authors: Andrei A. Elistratov, Dmitry V. Savin, Olga B. Isaeva

Comments: 15 pages, 7 figures

Subjects: Chaotic Dynamics (nlin.CD)

[20]  arXiv:2212.03432 [pdf, ps, other]

Title: Multiple soliton solutions and similarity reduction of a (2+1)-dimensional variable-coefficient Korteweg-de Vries system

Authors: Yaqing Liu, Linyu Peng

Comments: 23 pages, 7 figures

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

[21]  arXiv:2212.03455 [pdf, other]

Title: Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: one dimensional cases

Authors: Shousuke Ohmori, Yoshihiro Yamazaki

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

[22]  arXiv:2212.03679 [pdf, ps, other]

Title: On the full Kostant-Toda lattice and the flag varieties. I. The singular solutions

Authors: Yuancheng Xie

Comments: 23 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO); Representation Theory (math.RT)

[23]  arXiv:2212.03751 [pdf, other]

Title: A focusing-defocusing intermediate nonlinear Schrödinger system

Authors: Bjorn K. Berntson, Alexander Fagerlund

Comments: 37 pages, 9 figures

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

[24]  arXiv:2212.03928 [pdf, other]

Title: A dynamical Interpretation of Sequential Decay in Reactive Scattering

Authors: Francisco Gonzalez Montoya, Christof Jung, Thomas H. Seligman

Subjects: Chaotic Dynamics (nlin.CD)

[25]  arXiv:2212.03930 [pdf, other]

Title: Spatially Extended Dislocations Produced by the Dispersive Swift-Hohenberg Equation

Authors: Brenden Balch, Patrick D. Shipman, R. Mark Bradley

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