Nonlinear Sciences

Authors and titles for September 2021

[1] arXiv:2109.00070 [pdf, other]

Title: Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential

Emmanuel Kengne, Boris A. Malomed, Wu-Ming Liu

Journal-ref: Comm. Nonlin. Sci. Num. Sim. 103, 105983 (2021)

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

[2] arXiv:2109.00458 [pdf, other]

Title: Jammed Keplerian gas leads to the formation and disappearance of spiral arms in a coupled map lattice for astronomical objects

Erika Nozawa

Comments: 13 pages, 3 figures

Journal-ref: Progress of Theoretical and Experimental Physics 2023 (6) (2023) 063A02

Subjects: Chaotic Dynamics (nlin.CD); Astrophysics of Galaxies (astro-ph.GA); Pattern Formation and Solitons (nlin.PS)

[3] arXiv:2109.00989 [pdf, other]

Title: Pulsating dissipative solitons in a Mamyshev oscillator

Bo Cao, Kangjun Zhao, Chenxin Gao, Xiaosheng Xiao, Chengying Bao, Changxi Yang

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

[4] arXiv:2109.01245 [pdf, other]

Title: Chaotic waves serve as universal pattern generators

Sergey A. Vakulenko, Ivan Sudakow, John Reinitz, Dmitry Grigoriev

Comments: 6 pages, 2 figures

Subjects: Chaotic Dynamics (nlin.CD); Tissues and Organs (q-bio.TO)

[5] arXiv:2109.01361 [pdf, other]

Title: Lyapunov spectrum scaling for classical many-body dynamics close to integrability

Merab Malishava, Sergej Flach

Subjects: Chaotic Dynamics (nlin.CD); Other Condensed Matter (cond-mat.other); Statistical Mechanics (cond-mat.stat-mech); Computational Physics (physics.comp-ph)

[6] arXiv:2109.01427 [pdf, other]

Title: Rotobreathers in a chain of coupled elastic rotators

Alexander V. Savin, Ilsiya R.Sunagatova, Sergey V. Dmitriev

Comments: 12 pages, 14 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[7] arXiv:2109.01446 [pdf, other]

Title: Optimizing charge-balanced pulse stimulation for desynchronization

Erik T. K. Mau, Michael Rosenblum

Journal-ref: Chaos 32, 013103 (2022)

Subjects: Chaotic Dynamics (nlin.CD)

[8] arXiv:2109.01506 [pdf, other]

Title: Precessing ellipses as the building blocks of spiral arms

M. Harsoula, K. Zouloumi, C.Efthymiopoulos, G. Contopoulos

Comments: 17 pages, 22 figures

Subjects: Chaotic Dynamics (nlin.CD)

[9] arXiv:2109.01589 [pdf, other]

Title: Turing instability in quantum activator-inhibitor systems

Yuzuru Kato, Hiroya Nakao

Comments: 25 pages, 11 figures

Journal-ref: Sci Rep 12, 15573 (2022)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Quantum Physics (quant-ph)

[10] arXiv:2109.01848 [pdf, other]

Title: Low dimensional behaviour of generalized Kuramoto model

Sara Ameli, Keivan Aghababaei Samani

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

[11] arXiv:2109.02073 [pdf, other]

Title: Integrability of one bilinear equation: singularity analysis and dimension

Sergei Sakovich

Comments: 8 pages; v2: one sentence corrected

Journal-ref: Nonlinear Phenom. Complex Syst. 24 (2021) 311-316

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

[12] arXiv:2109.02264 [pdf, other]

Title: Initial perturbation matters: implications of geometry-dependent universal Kardar-Parisi-Zhang statistics for spatiotemporal chaos

Yohsuke T. Fukai, Kazumasa A. Takeuchi

Comments: 7+4 pages, 4+6 figures This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 31, 111103 (2021) and may be found at this https URL

Journal-ref: Chaos 31, 111103 (2021)

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

[13] arXiv:2109.02718 [pdf, other]

Title: Homeostatic Criticality in Neuronal Networks

Gustavo Menesse, Bóris Marin, Mauricio Girardi-Schappo, Osame Kinouchi

Comments: 17 pages, 7 figures

Journal-ref: Chaos Solitons Fractals 156 (2022) 111877

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

[14] arXiv:2109.02901 [pdf, other]

Title: Inverse scattering transform and multiple high-order pole solutions for the nonlocal focusing and defocusing modified Korteweg-de Vries equation with the nonzero boundary conditions

Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang

Comments: 26 pages, 4 figures

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

[15] arXiv:2109.03303 [pdf, other]

Title: Measurement and Memory in the Periodically Driven Complex Ginzburg-Landau equation

T. Mithun, P. G. Kevrekidis, A. Saxena, A.R. Bishop

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

[16] arXiv:2109.03580 [pdf, other]

Title: Surfaces of locally minimal flux

R.S.MacKay

Comments: v1 dates from 1 Dec 2019; this v2 dates from 22 July 2020

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

[17] arXiv:2109.03869 [pdf, other]

Title: On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity

H. Aratyn, J.F. Gomes, A.H. Zimerman

Comments: 13 pages, comment added in subsection 3.1

Journal-ref: Open Communications in Nonlinear Mathematical Physics, Volume 2 (November 10, 2022) ocnmp:10161

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

[18] arXiv:2109.04111 [pdf, other]

Title: Recursion operators and bi-Hamiltonian representations of cubic evolutionary (2+1)-dimensional systems

M. B. Sheftel, D. Yazıcı

Comments: 24 pages, LaTeX2e, major revision. generalization of results

Journal-ref: Communications in Nonlinear Science and Numerical Simulation, Vol. 112 (2022) 106527

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[19] arXiv:2109.04296 [pdf, other]

Title: A new integrable model of long wave-short wave interaction and linear stability spectra

Marcos Caso-Huerta (1), Antonio Degasperis (2), Sara Lombardo (3), Matteo Sommacal (1) ((1) Northumbria University, (2) Sapienza University of Rome, (3) Loughborough University)

Journal-ref: Proc. R. Soc. A. 477, 20210408 (2021)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)

[20] arXiv:2109.05240 [pdf, other]

Title: Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model

I. Krichever, A. Zabrodin

Comments: 24 pages, no figures

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

[21] arXiv:2109.05454 [pdf, other]

Title: Stability of elliptic function solutions for the focusing modified KdV equation

Liming Ling, Xuan Sun

Comments: 43pages, 10 figures

Journal-ref: Adv. Math. 435(2023), 109356

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

[22] arXiv:2109.05579 [pdf, other]

Title: Transverse Instability of Rogue Waves

Mark J. Ablowitz, Justin T. Cole

Comments: Supplementary Material available on Publisher's website

Journal-ref: Physical Review Letters, vol. 127, 104101 (2021)

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

[23] arXiv:2109.05937 [pdf, other]

Title: Estimating fractal dimensions: a comparative review and open source implementations

George Datseris, Inga Kottlarz, Anton P. Braun, Ulrich Parlitz

Journal-ref: Chaos 33, 102101 (2023)

Subjects: Chaotic Dynamics (nlin.CD)

[24] arXiv:2109.05966 [pdf, other]

Title: Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons

Argha Mondal, Chittaranjan Hens, Arnab Mondal, Chris G. Antonopoulos

Comments: 12 pages, 4 figures

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

[25] arXiv:2109.06001 [pdf, other]

Title: Meshy soliton structures for (2+1)-dimensional integrable systems and interactions

Shoufeng Shen, Guofang Wang, Yongyang Jin

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

[26] arXiv:2109.06357 [pdf, html, other]

Title: KdV hierarchies and quantum Novikov's equations

V.M. Buchstaber, A.V. Mikhailov

Comments: This is a formatted version of the previous version with dedication to D. Levi. Published in the special issue of the OCNMP

Journal-ref: Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:12684

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

[27] arXiv:2109.06428 [pdf, other]

Title: Different Hamiltonians for differential Painlev\'e equations and their identification using a geometric approach

Anton Dzhamay, Galina Filipuk, Adam Ligȩza, Alexander Stokes

Comments: 43 pages (major changes from the first version -- added discussion of P-V and PVI cases, also fixed some minor typos)

Journal-ref: Journal of Differential Equations, Volume 399, 5 August 2024, Pages 281-334

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

[28] arXiv:2109.06512 [pdf, other]

Title: Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation

B. I. Suleimanov, A. M. Shavlukov

Comments: Originally published on Russian in Ufa mathematical journal vol. 13 issue 2 pp. 104-111 (2021) Eglish translation: Ufa Math. J. 13:3, 99-106 (2021)

Journal-ref: Ufimskji Matem. Zhurn. 13:3, 104-111 (2021). [Ufa Math. J. 13:3, 99-106 (2021)]

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

[29] arXiv:2109.06615 [pdf, other]

Title: Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

Umesh Kumar Verma, G. Ambika

Comments: 11 pages, 8 figures

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

[30] arXiv:2109.06744 [pdf, other]

Title: Split invariant curves in rotating bar potentials

Tian-Ye Xia, Juntai Shen (Shanghai Jiao Tong Univ.)

Comments: Accepted to publish on ApJ. 8 pages, 6 figures. The animated version of Figure 1 is at this link: this http URL

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

[31] arXiv:2109.07042 [pdf, other]

Title: Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data

Zhi-Qiang Li, Shou-Fu Tian, Jin-Jie Yang

Comments: 50 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:2109.06384; text overlap with arXiv:2101.12697, arXiv:2012.11928

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

[32] arXiv:2109.07094 [pdf, other]

Title: Influence of the growth gradient on surface wrinkling and pattern transition in growing tubular tissues

Rui-Cheng Liu, Yang Liu, Zongxi Cai

Comments: 21 pages, 12 figures

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

[33] arXiv:2109.07179 [pdf, other]

Title: Continuous-wave stability and multi-pulse structures in a universal Complex Ginzburg-Landau model for passively mode-locked lasers with saturable absorber

D. Jr. Fandio Jubgang, Alain M. Dikande, A. Sunda-Meya

Comments: 13 pages, 7 figures, Feature issue on "Optics in Africa"

Journal-ref: Journal of the Optical Society of America (JOSA) B vol. 34, page A175 (2020)

Subjects: Pattern Formation and Solitons (nlin.PS); Applied Physics (physics.app-ph); Optics (physics.optics)

[34] arXiv:2109.07192 [pdf, other]

Title: Fundamental modes of a trapped probe photon in optical fibers conveying periodic pulse trains

Alain M. Dikande

Comments: 5 pages, 1 figure

Journal-ref: Physical Review A vol. 81, page 013821 (2010)

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

[35] arXiv:2109.07259 [pdf, other]

Title: Modeling the effects of environmental and perceptual uncertainty using deterministic reinforcement learning dynamics with partial observability

Wolfram Barfuss, Richard P. Mann

Comments: 15 pages, 8 figures

Journal-ref: Wolfram Barfuss and Richard P. Mann (2022) Phys. Rev. E 105, 034409

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Multiagent Systems (cs.MA); Physics and Society (physics.soc-ph)

[36] arXiv:2109.07426 [pdf, other]

Title: Grass-roots optimization of coupled oscillator networks

Pranick R. Chamlagai, Dane Taylor, Per Sebastian Skardal

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

[37] arXiv:2109.07637 [pdf, other]

Title: Long-time asymptotics for the Wadati-Konno-Ichikawa equation with the Schwartz initial data

Xin Wu, Shou-Fu Tian

Comments: 29 pages, 4 figures

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

[38] arXiv:2109.07714 [pdf, other]

Title: Elliptic solitons in optical fiber media

Défi Jr. Jubgang Fandio, Alain M. Dikandé, A. Sunda-Meya

Comments: 10 pages, 5 figures

Journal-ref: Physical Review A vol. 92, page 053850 (2015)

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

[39] arXiv:2109.08080 [pdf, other]

Title: Non-hyperbolicity at large scales of a high-dimensional chaotic system

Caroline L. Wormell

Comments: 20 pages

Subjects: Chaotic Dynamics (nlin.CD); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[40] arXiv:2109.08211 [pdf, other]

Title: Transport of localized and extended excitations in one-dimensional electrical lattices

Mario I. Molina

Comments: 6 pages, 6 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[41] arXiv:2109.08616 [pdf, other]

Title: Steady State Statistics of Emergent Patterns in a Ring of Oscillators

Tiemo Pedergnana, Nicolas Noiray

Comments: 16 figures

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

[42] arXiv:2109.08759 [pdf, other]

Title: Greedy optimization for growing spatially embedded oscillatory networks

Damien Beecroft, Juan G. Restrepo, David Angulo-Garcia

Comments: 13 pages, 9 figures

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

[43] arXiv:2109.09101 [pdf, other]

Title: Exact solutions of nonlinear dynamical equations for large-amplitude atomic vibrations in arbitrary monoatomic chains with fixed ends

George Chechin, Denis Ryabov

Subjects: Pattern Formation and Solitons (nlin.PS)

[44] arXiv:2109.09242 [pdf, other]

Title: Renormalisation of the two-dimensional border-collision normal form

Indranil Ghosh, David J.W. Simpson

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

[45] arXiv:2109.09266 [pdf, other]

Title: Data-driven vector localized waves and parameters discovery for Manakov system using deep learning approach

Juncai Pu, Yong Chen

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

[46] arXiv:2109.09600 [pdf, other]

Title: Dynamical States and Bifurcations in Coupled Thermoacoustic Oscillators

Sneha Srikanth, Samadhan A. Pawar, Krishna Manoj, R. I. Sujith

Comments: 29 pages including Supplementary Material. 9 figures in main manuscript and 3 figures in Supplementary Material

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

[47] arXiv:2109.09641 [pdf, other]

Title: Chaos and thermalization in a classical chain of dipoles

Rosario González-Férez, Manuel Iñarrea, J. Pablo Salas, Peter Schmelcher

Comments: 7 pages, 6 figures

Subjects: Chaotic Dynamics (nlin.CD); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Classical Physics (physics.class-ph)

[48] arXiv:2109.09695 [pdf, other]

Title: Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions

Şeyma Gönül, Cihangir Özemir

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

[49] arXiv:2109.09719 [pdf, other]

Title: On the Whitham system for the (2+1)-dimensional nonlinear Schr\"odinger equation

Mark J. Ablowitz, Justin T. Cole, Igor Rumanov

Comments: 34 pages, 6 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Fluid Dynamics (physics.flu-dyn); Optics (physics.optics)

[50] arXiv:2109.10372 [pdf, other]

Title: A discrete Darboux-Lax scheme for integrable difference equations

Xenia Fisenko, Sotiris Konstantinou-Rizos, Pavlos Xenitidis

Comments: 14 pages, 4 figures

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