Nonlinear Sciences

Authors and titles for July 2021

[1] arXiv:2107.00751 [pdf, other]

Title: Josephson oscillations of edge solitons in a photonic-topological coupler

N. V. Bazhan, B. Malomed, A.I. Yakimenko

Comments: 5 pages, 5 figures, to be published in Optics Letters

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

[2] arXiv:2107.00843 [pdf, other]

Title: Eigen Microstates and Their Evolution of Global Ozone at Different Geopotential Heights

Xiaojie Chen, Na Ying, Dean Chen, Yongwen Zhang, Bo Lu, Jingfang Fan, Xiaosong Chen

Comments: submitted to Chaos, and already accepted!

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Atmospheric and Oceanic Physics (physics.ao-ph)

[3] arXiv:2107.01009 [pdf, other]

Title: A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions

Shuning Lin, Yong Chen

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

[4] arXiv:2107.01375 [pdf, other]

Title: Instabilities in a compressible hyperelastic cylindrical channel due to internal pressure and external constraints

Sumit Mehta, Gangadharan Raju, Shanmugam Kumar, Prashant Saxena

Comments: 27 pages, 14 figures

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

[5] arXiv:2107.01946 [pdf, other]

Title: Bogolyubov's averaging theorem applied to the Kramers-Henneberger Hamiltonian

Elena Floriani (AMU, CPT), Jonathan Dubois (MPI-PKS), Cristel Chandre (CNRS, I2M)

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

[6] arXiv:2107.02149 [pdf, other]

Title: Fractal structure of the soliton scattering for the graphene superlattice equation

Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro

Comments: 27 pages, 10 figures, 3 tables

Journal-ref: Chaos, Solitons & Fractals 151: 111281 (October 2021)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Computational Physics (physics.comp-ph)

[7] arXiv:2107.02241 [pdf, other]

Title: Revealing dynamics, communities and criticality from data

Deniz Eroglu, Matteo Tanzi, Sebastian van Strien, Tiago Pereira

Comments: 13 pages. arXiv admin note: substantial text overlap with arXiv:1907.02416

Journal-ref: Phys. Rev. X 10, 021047 2020

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

[8] arXiv:2107.02435 [pdf, other]

Title: Dynamical properties of max-plus equations obtained from tropically discretized Sel'kov model

Shousuke Ohmori, Yoshihiro Yamazaki

Comments: arXiv admin note: text overlap with arXiv:2103.16777

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph)

[9] arXiv:2107.02747 [pdf, other]

Title: Nonlinear mirror image method for nonlinear Schr\"odinger equation: Absorption/emission of one soliton by a boundary

Vincent Caudrelier, Nicolas Crampe, Carlos Mbala Dibaya

Comments: 38 pages. 5 figures. Authors' version of the published article. Accessiblefrom this https URL

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

[10] arXiv:2107.02869 [pdf, other]

Title: Parent Hamiltonians of Jastrow Wavefunctions

Mathieu Beau, Adolfo del Campo

Comments: 16 pages, new references, improved introduction and conclusion, typo in ref [62] fixed

Journal-ref: SciPost Phys. Core 4, 030 (2021)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[11] arXiv:2107.02879 [pdf, other]

Title: Synchronization transitions in a hyperchaotic SQUID Trimer

J. Shena, N. Lazarides, J. Hizanidis

Comments: 11 pages, 9 figures, submitted to Chaos, In memory of Vadim S. Anishchenko

Subjects: Pattern Formation and Solitons (nlin.PS)

[12] arXiv:2107.02985 [pdf, other]

Title: Physics-informed neural networks method in high-dimensional integrable systems

Zhengwu Miao, Yong Chen

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

[13] arXiv:2107.03150 [pdf, other]

Title: Dynamics of a network of quadratic integrate-and-fire neurons with bimodal heterogeneity

Viktoras Pyragas, Kestutis Pyragas

Subjects: Chaotic Dynamics (nlin.CD)

[14] arXiv:2107.03364 [pdf, other]

Title: Barrier billiard and random matrices

Eugene Bogomolny

Comments: 24 pages, 5 figures

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

[15] arXiv:2107.03384 [pdf, other]

Title: Differential Equations of Genus Four Hyperelliptic $\wp$ Functions

Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka

Comments: 19 pages

Journal-ref: J. Phys. Commun. 5 (2021) 105008

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

[16] arXiv:2107.03637 [pdf, other]

Title: Multi-peak solitons in nonlocal nonlinear system with sine-oscillation response

Lanhua Zhong, Dalong Dang, Wei Li, Zhanmei Ren, Qi Guo

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

[17] arXiv:2107.04183 [pdf, other]

Title: Solutions to integrable space-time shifted nonlocal equations

Shi-min Liu, Jing Wang, Da-jun Zhang

Comments: 16 pages

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

[18] arXiv:2107.04843 [pdf, other]

Title: A strongly universal cellular automaton with four states

Maurice Margenstern

Comments: 49 pages, 23 figures. arXiv admin note: substantial text overlap with arXiv:2104.01561

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

[19] arXiv:2107.05210 [pdf, other]

Title: Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model

Maud El-Hachem, Scott W McCue, Matthew J Simpson

Comments: 41 pages, 16 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Populations and Evolution (q-bio.PE)

[20] arXiv:2107.06001 [pdf, other]

Title: The Ameyalli-Rule: Logical Universality in a 2D Cellular Automaton

José Manuel Gómez Soto, Andrew Wuensche

Comments: 16 pages, 15 figures

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

[21] arXiv:2107.06136 [pdf, other]

Title: Synchronization in the presence of time delays and inertia: Stability criteria

Dimitrios Prousalis, Lucas Wetzel

Comments: main: 5 pages, 6 figures, supplementary: 3 pages, 4 figures

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

[22] arXiv:2107.06699 [pdf, other]

Title: An exactly solvable problem of wave fronts and applications to the asymptotic theory

Yu. Brezhnev, A. Tsvetkova

Comments: LaTeX, 15 pages, 4 figures

Journal-ref: Physica D (2021) v.419, 132868(8)

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

[23] arXiv:2107.06879 [pdf, other]

Title: Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations

C. S. Barquist, W. G. Jiang, K. Gunther, Y. Lee

Comments: 5 pages, 3 figures, accepted for publication in Physica D

Subjects: Chaotic Dynamics (nlin.CD); Other Condensed Matter (cond-mat.other); Applied Physics (physics.app-ph)

[24] arXiv:2107.07048 [pdf, other]

Title: Novel Deformation Function Creating or Destroying any Number of Even Kink Solutions

Avinash Khare, Avadh Saxena

Comments: 19 pages, 9 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[25] arXiv:2107.07280 [pdf, other]

Title: On Lax operators

Alberto De Sole, Victor G. Kac, Daniele Valeri

Comments: 39 pages, v2: minor editing and corrections following the referee's suggestions

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

[26] arXiv:2107.07619 [pdf, other]

Title: Adiabatic soliton management: Controlling solitary wave motion while keeping the wave envelope unchanged

Robert A. Van Gorder

Journal-ref: Physics Letters A 446 (2022) 128284

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

[27] arXiv:2107.07812 [pdf, other]

Title: Connected and disconnected stable regions of solitons of nonlinear Schr\"odinger equation with $\mathcal{PT}$-symmetric potential

Niladri Ghosh, Amiya Das, Debraj Nath

Comments: 9 pages 56 figures

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

[28] arXiv:2107.07897 [pdf, other]

Title: A Two-Frequency-Two-Coupling model of coupled oscillators

Hyunsuk Hong, Erik A. Martens

Journal-ref: Chaos 31, 083124 (2021)

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

[29] arXiv:2107.07980 [pdf, other]

Title: p-adic Cellular Neural Networks

B. A. Zambrano-Luna, W. A. Zúñiga-Galindo

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

[30] arXiv:2107.08184 [pdf, other]

Title: The Dynamic Scaling Structure of the Intensity-Area-Duration-Frequency Relationship

Victor Peñaranda, David Serrano, Mahesh Maskey

Comments: I found some mistakes to be corrected. I expect to submit another paper much better

Subjects: Pattern Formation and Solitons (nlin.PS); Data Analysis, Statistics and Probability (physics.data-an); Geophysics (physics.geo-ph)

[31] arXiv:2107.08224 [pdf, other]

Title: On a parametrized difference equation connecting chaotic and integrable mappings

Tomoko Nagai, Atsushi Nagai, Hiroko Yamaki, Kana Yanuma

Comments: 8 pages, 5 figures, 2 tables

Subjects: Chaotic Dynamics (nlin.CD)

[32] arXiv:2107.08302 [pdf, other]

Title: Theoretical and numerical study of vibrational resonance in a damped softening Duffing oscillator

Ivan Skhem Sawkmie, Donrich Kharkongor

Comments: 22 pages 11 figures

Subjects: Chaotic Dynamics (nlin.CD); Other Condensed Matter (cond-mat.other)

[33] arXiv:2107.08376 [pdf, other]

Title: Separation of Variables, Quasi-Trigonometric $r$-Matrices and Generalized Gaudin Models

Taras Skrypnyk

Journal-ref: SIGMA 17 (2021), 069, 21 pages

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

[34] arXiv:2107.08509 [pdf, other]

Title: Enhancing synchronization by optimal correlated noise

Sherwood Martineau, Tim Saffold, Timothy T. Chang, Henrik Ronellenfitsch

Comments: 5 pages, 4 figures, including supplemental material

Journal-ref: Phys. Rev. Lett. 128, 098301 (2022)

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

[35] arXiv:2107.08788 [pdf, other]

Title: Heat bullets

Felipe A. Asenjo, Sergio A. Hojman

Subjects: Pattern Formation and Solitons (nlin.PS)

[36] arXiv:2107.09300 [pdf, other]

Title: Periodicity of limit cycles in a max-plus dynamical system

Yoshihiro Yamazaki, Shousuke Ohmori

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph)

[37] arXiv:2107.09337 [pdf, other]

Title: Scroll ring chimera states in oscillatory networks

Volodymyr Maistrenko, Oleksandr Sudakov, Ievgen Sliusar

Comments: 11 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[38] arXiv:2107.09623 [pdf, other]

Title: Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation

Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Comments: 15 pages

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

[39] arXiv:2107.09711 [pdf, other]

Title: Synchronization transition in the two-dimensional Kuramoto model with dichotomous noise

Mrinal Sarkar

Comments: v2: Published version (14 pages, 15 figures)

Journal-ref: Chaos 31, 083102 (2021)

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

[40] arXiv:2107.09982 [pdf, other]

Title: Behaviour of trajectories near a two-cycle heteroclinic network

Olga Podvigina

Comments: 21 page, 3 figures, 2 tables

Subjects: Chaotic Dynamics (nlin.CD)

[41] arXiv:2107.10016 [pdf, other]

Title: Nonlinear edge modes from topological 1D lattices

Lucien Jezequel, Pierre Delplace

Journal-ref: Phys. Rev. B 105, 035410, 2022-01

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

[42] arXiv:2107.10095 [pdf, other]

Title: A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation

Jinyan Zhu, Yong Chen

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

[43] arXiv:2107.10547 [pdf, other]

Title: On spatial Fourier spectrum of rogue wave breathers

N. Karjanto

Comments: 16 pages, 10 figures, 22 references

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

[44] arXiv:2107.10759 [pdf, other]

Title: Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs

Andrei D. Polyanin, Alexei I. Zhurov

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

[45] arXiv:2107.11457 [pdf, other]

Title: Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells

Amaria Javed, T. Uthayakumar, M. O. D. Alotaibi, S. M. Al-Marzoug, H. Bahlouli, U. Al Khawaja

Comments: 27 pages, 30 figures

Journal-ref: Communications in Nonlinear Science and Numerical Simulation, 105968 (2021)

Subjects: Pattern Formation and Solitons (nlin.PS)

[46] arXiv:2107.11831 [pdf, other]

Title: Edges of inter-layer synchronization in multilayer networks with time-switching links

Muhittin Cenk Eser, Everton S. Medeiros, Mustafa Riza, Anna Zakharova

Comments: 7 pages, 7 figures

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

[47] arXiv:2107.12040 [pdf, other]

Title: Integrability of the Zakharov-Shabat systems by quadrature

Kazuyuki Yagasaki

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

[48] arXiv:2107.12154 [pdf, other]

Title: Two-component breather solution of the nonlinear Klein-Gordon equation

G. T. Adamashvili

Comments: arXiv admin note: substantial text overlap with arXiv:2106.05940

Subjects: Pattern Formation and Solitons (nlin.PS)

[49] arXiv:2107.12489 [pdf, other]

Title: Effective stochastic model for chaos in the Fermi-Pasta-Ulam-Tsingou chain

Tomer Goldfriend

Comments: 19 pages, 4 figures

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

[50] arXiv:2107.12686 [pdf, other]

Title: Stability analysis of generalized Lugiato-Lefever equation with lumped filter for Kerr optical soliton generation in anomalous dispersion regime

Nuo Chen, Boqing Zhang, Haofan Yang, Xinda Lu, Shiqi He, Yuhang Hu, Yuntian Chen, Xinliang Zhang, Jing Xu

Comments: 3 pages, 2 figures

Subjects: Pattern Formation and Solitons (nlin.PS)