Nonlinear Sciences

Authors and titles for April 2017

[1] arXiv:1704.00024 [pdf, other]

Title: Optical Lattice Trap for Kerr Solitons

Hossein Taheri, Andrey B. Matsko, Lute Maleki

Comments: 13 pages, 12 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[2] arXiv:1704.00043 [pdf, other]

Title: Symmetries of the Hirota Difference Equation

Andrei K. Pogrebkov

Journal-ref: SIGMA 13 (2017), 053, 14 pages

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

[3] arXiv:1704.00404 [pdf, other]

Title: Modulational instability and homoclinic orbit solutions in vector nonlinear Schr\"odinger equation

Liming Ling, Li-Chen Zhao

Comments: 30 pages

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

[4] arXiv:1704.00491 [pdf, other]

Title: Relationship between the size of camphor-driven rotor and its angular velocity

Yuki Koyano, Marian Gryciuk, Paulina Skrobanska, Maciej Malecki, Yutaka Sumino, Hiroyuki Kitahata, Jerzy Gorecki

Comments: 9 pages, 8 figures

Journal-ref: Phys. Rev. E 96, 012609 (2017)

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

[5] arXiv:1704.00676 [pdf, other]

Title: A new approach to fuzzy sets: Application to the design of nonlinear time-series, symmetry-breaking patterns, and non-sinusoidal limit-cycle oscillations

Vladimir García-Morales

Comments: 15 pages, two columns, 11 figures, 3 tables: largely expanded, with new formal developments and applications. Submitted for publication

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

[6] arXiv:1704.00695 [pdf, other]

Title: Dark solitons, modulation instability and breathers in a chain of weakly non-linear oscillators with cyclic symmetry

F. Fontanela, A. Grolet, L. Salles, A. Chabchoub, N. Hoffmann

Subjects: Pattern Formation and Solitons (nlin.PS)

[7] arXiv:1704.00714 [pdf, other]

Title: Elastic collision and breather formation of spatiotemporal vortex light bullets in a cubic-quintic nonlinear medium

S K Adhikari

Comments: arXiv admin note: text overlap with arXiv:1701.03763

Journal-ref: Laser Phys. Lett. 14 (2017) 065402

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

[8] arXiv:1704.00716 [pdf, other]

Title: An example of a deterministic cellular automaton exhibiting linear-exponential convergence to the steady state

Henryk Fukś, Joel Midgley-Volpato

Journal-ref: Acta Phys. Pol. B, 9(1):49--62, 2016

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

[9] arXiv:1704.00723 [pdf, other]

Title: Exact analytical solution of viscous Korteweg-deVries equation for water waves

S. G. Sajjadi, T. A. Smith

Comments: 15 pages

Journal-ref: Advances and Applications in Fluid Mechanics, Volume 19, Issue 2 (April 2016), Page: 379 - 400

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

[10] arXiv:1704.00804 [pdf, other]

Title: Soliton groups as the reason for extreme statistics of unidirectional sea waves

A.V. Slunyaev, A.V. Kokorina

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

[11] arXiv:1704.00907 [pdf, other]

Title: Excitation of multiple 2-mode parametric resonances by a single driven mode

Adarsh Ganesan, Cuong Do, Ashwin Seshia

Comments: 8 pages, 3 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[12] arXiv:1704.01002 [pdf, other]

Title: Stochastic and Vibrational Resonances in a Uni-junction Transistor Relaxation Oscillator

Ajit Mahata, Md Nurujjaman, Utpal Deka

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

[13] arXiv:1704.01167 [pdf, other]

Title: Discontinuity Induced Hopf and Neimark-Sacker Bifurcations in a Memristive Murali-Lakshmanan-Chua Circuit

A. Ishaq Ahamed, M. Lakshmanan

Comments: 28 pages,18 figures

Journal-ref: International Journal of Bifurcation and Chaos, Vol. 27,Number 06, June 2017

Subjects: Chaotic Dynamics (nlin.CD)

[14] arXiv:1704.01273 [pdf, other]

Title: Nonlocal Super Integrable Equations

Metin Gurses

Comments: 8 pages

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

[15] arXiv:1704.01424 [pdf, other]

Title: Investigation the Critical Levels in Development of the Complex Systems with Shifted Arguments for their Optimal Control

Ivan V. Kazachkov

Comments: 14 pages, 5 figures, paper

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

[16] arXiv:1704.01778 [pdf, other]

Title: Generation of higher-order rogue waves from multi-breathers by double degeneracy in an optical fibre

Lihong Wang, Jingsong He, Hui Xu, Ji Wang

Comments: 35 pages, 21 figures, 5 tables, 51 references, Accepted by Phys.Rev.E

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

[17] arXiv:1704.01821 [pdf, other]

Title: Frequency transitions in phononic four-wave mixing

Adarsh Ganesan, Cuong Do, Ashwin Seshia

Comments: 9 pages, 3 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Classical Physics (physics.class-ph)

[18] arXiv:1704.01881 [pdf, other]

Title: Linear Optimal Power Flow Using Cycle Flows

Jonas Hörsch, Henrik Ronellenfitsch, Dirk Witthaut, Tom Brown

Comments: 11 pages, 5 figures; version 2 includes results for generation capacity optimization; version 3 is the final accepted journal version

Journal-ref: Electric Power Systems Research, 2018, Volume 158, Pages 126-135

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

[19] arXiv:1704.02047 [pdf, other]

Title: Multiple Shooting Shadowing for Sensitivity Analysis of Chaotic Dynamical Systems

Patrick J. Blonigan, Qiqi Wang

Comments: Preprint submitted to the Journal of Computational Physics

Subjects: Chaotic Dynamics (nlin.CD)

[20] arXiv:1704.02070 [pdf, other]

Title: New Hierarchies of Derivative nonlinear Schr\"odinger-Type Equation

Zhiwei Wu, Jingsong He

Journal-ref: Romanian Reports in Physics, Vol. 68, No. 4, P. 1425-1446 (2016)

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

[21] arXiv:1704.02118 [pdf, other]

Title: An analysis of indeterminate points in discrete integrable system

Yuki Wakimoto

Comments: 9 pages, 2 figures

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

[22] arXiv:1704.02273 [pdf, other]

Title: Determining the Newton-Raphson basins of attraction in the electromagnetic Copenhagen problem

Euaggelos E. Zotos

Comments: Published in International Journal of Non-Linear Mechanics (IJNLM). arXiv admin note: previous papers with related context: arXiv:1702.07279, arXiv:1608.08610

Journal-ref: IJNLM, vol. 90, 111-123 (2017)

Subjects: Chaotic Dynamics (nlin.CD)

[23] arXiv:1704.02490 [pdf, other]

Title: Macroscopic and Microscopic Spectral Properties of Multilayer Brain Networks during Local and Global Synchronization

Vladimir A. Maksimenko, Annika Lüttjohann, Vladimir V. Makarov, Mikhail V. Goremyko, Alexey A. Koronovskii, Anastasia E. Runnova, Gilles van Luijtelaar, Alexander E. Hramov, Stefano Boccaletti

Journal-ref: Phys. Rev. E 96, 012316 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS)

[24] arXiv:1704.02539 [pdf, other]

Title: Dynamic Modeling and Simulation of a Rotational Inverted Pendulum

J.L.Duarte, B.Montero, P.A.Ospina-Henao, E.Gonzalez

Journal-ref: VIII International Congress of Engineering Physics IOP Conf. Series: Journal of Physics: Conf. Series 792 (2017) 012081

Subjects: Chaotic Dynamics (nlin.CD)

[25] arXiv:1704.02547 [pdf, other]

Title: Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities

Zhenya Yan, V. V. Konotop

Comments: 10 pages, 5 figures

Journal-ref: Physical Review E 80, 036607 (2009)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Optics (physics.optics); Quantum Physics (quant-ph)

[26] arXiv:1704.02548 [pdf, other]

Title: Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials

Zhenya Yan, Dongmei Jiang

Comments: 10 pages, 10 figures

Journal-ref: Physical Review E 85, 056608 (2012)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[27] arXiv:1704.02551 [pdf, other]

Title: Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials

Yong Chen, Zhenya Yan

Comments: 11 pages, 8 figures

Journal-ref: Scientific Reports 6, 23478 (2016)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Spectral Theory (math.SP); Optics (physics.optics); Quantum Physics (quant-ph)

[28] arXiv:1704.02554 [pdf, other]

Title: Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential

Xiao-Yong Wen, Zhenya Yan, Yunqing Yang

Comments: 9 pages, 8 figures

Journal-ref: CHAOS 26, 063123 (2016)

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

[29] arXiv:1704.02557 [pdf, other]

Title: Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation

Xiao-Yong Wen, Yunqing Yang, Zhenya Yan

Comments: 26 pages, 18 figures

Journal-ref: Physical Review E 92, 012917 (2015)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[30] arXiv:1704.02559 [pdf, other]

Title: Localized Analytical Solutions and Parameters Analysis in the Nonlinear Dispersive Gross-Pitaevskii Mean-Field GP (m,n) Model with Space-Modulated Nonlinearity and Potential

Zhenya Yan

Comments: 16 pages, 9 figures

Journal-ref: Stud. Appl. Math. 132, 266 (2014)

Subjects: Pattern Formation and Solitons (nlin.PS)

[31] arXiv:1704.02560 [pdf, other]

Title: Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation

Yong Chen, Zhenya Yan

Comments: 11 pages, 11 figures

Journal-ref: Physical Review E 95, 012205 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Optics (physics.optics); Quantum Physics (quant-ph)

[32] arXiv:1704.02779 [pdf, other]

Title: Line-soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar-problem

Junyi Zhu

Comments: 14 pages,19 figures

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

[33] arXiv:1704.02834 [pdf, other]

Title: Diffusion dynamics and synchronizability of hierarchical products of networks

Per Sebastian Skardal

Journal-ref: Phys. Rev. E 96, 042302 (2017)

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

[34] arXiv:1704.03068 [pdf, other]

Title: Growth of Shock-Induced Solitary Waves in Granular Crystals

M. Arif Hasan, Sia Nemat-Nasser

Journal-ref: Phys. Rev. E 97, 022205 (2018)

Subjects: Pattern Formation and Solitons (nlin.PS)

[35] arXiv:1704.03077 [pdf, other]

Title: Rotation number of integrable symplectic mappings of the plane

Timofey Zolkin, Sergei Nagaitsev, Viatcheslav Danilov

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

[36] arXiv:1704.03107 [pdf, other]

Title: On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials

Zhenya Yan, Yong Chen, Zichao Wen

Comments: 16 pages, 23 figures

Journal-ref: CHAOS 26, 083109 (2016)

Subjects: Pattern Formation and Solitons (nlin.PS); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Optics (physics.optics); Quantum Physics (quant-ph)

[37] arXiv:1704.03115 [pdf, other]

Title: Weakly integrable Camassa-Holm-type equations

Peilong Dong, Zhiwei Wu, Jingsong He

Comments: Accepted by Romanian Journal of Physics(Dec., 2016)

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

[38] arXiv:1704.03215 [pdf, other]

Title: Nonlocality Induces Chains of Nested Localized Structures

J. Javaloyes, M. Marconi, M. Giudici

Comments: 5 pages, 5 figures

Journal-ref: Phys. Rev. Lett. 119, 033904 (2017)

Subjects: Pattern Formation and Solitons (nlin.PS)

[39] arXiv:1704.03293 [pdf, other]

Title: Phase reduction approach to synchronization of nonlinear oscillators

Hiroya Nakao

Comments: Brief review of the phase reduction theory for limit-cycle oscillators, 53 pages, 11 figures

Journal-ref: Contemporary Physics 57, 188-214 (2016)

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

[40] arXiv:1704.03328 [pdf, other]

Title: Zero-dimensional limit of the two-dimensional Lugiato-Lefever equation

Wesley B. Cardoso, Luca Salasnich, Boris A. Malomed

Comments: 11 pages, 15 figures, Eur. Phys. Journal D, in press (Topical Issue "Theory and Applications of the Lugiato-Lefever Equation")

Journal-ref: Eur. Phys. J. D (2017) 71: 112

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

[41] arXiv:1704.03348 [pdf, other]

Title: Modulation of localized solutions in quadratic-cubic nonlinear Schr\"odinger equation with inhomogeneous coefficients

Wesley B. Cardoso, Hugo L. C. Couto, Ardiley T. Avelar, Dionisio Bazeia

Comments: 12 pages, 8 figures

Journal-ref: Commun Nonlinear Sci Numer Simulat 48 (2017) 474-483

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

[42] arXiv:1704.03632 [pdf, other]

Title: Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling

Sho Shirasaka, Nobuhiro Watanabe, Yoji Kawamura, Hiroya Nakao

Comments: 12 pages, 13 figures, revised version, to be published in PRE

Journal-ref: Phys. Rev. E 96, 012223 (2017)

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

[43] arXiv:1704.03635 [pdf, other]

Title: Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems

Yoji Kawamura, Sho Shirasaka, Tatsuo Yanagita, Hiroya Nakao

Comments: 18 pages, 14 figures, revised version, to be published in PRE

Journal-ref: Phys. Rev. E 96, 012224 (2017)

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

[44] arXiv:1704.03659 [pdf, other]

Title: On the Expansion Coefficients of KP Tau Function

Atsushi Nakayashiki, Soichi Okada, Yoko Shigyo

Comments: 21 pages

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

[45] arXiv:1704.03938 [pdf, other]

Title: Quasiperiodicity and suppression of multistability in nonlinear dynamical systems

Ying-Cheng Lai, Celso Grebogi

Comments: 20 pages, 5 figures

Subjects: Chaotic Dynamics (nlin.CD)

[46] arXiv:1704.04005 [pdf, other]

Title: Multi-Dimensional Conservation Laws and Integrable Systems

Zakhar V. Makridin, Maxim V. Pavlov

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

[47] arXiv:1704.04078 [pdf, other]

Title: Relativistic DNLS and Kaup-Newell Hierarchy

Oktay K. Pashaev, Jyh-Hao Lee

Journal-ref: SIGMA 13 (2017), 058, 13 pages

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

[48] arXiv:1704.04130 [pdf, other]

Title: A universal order parameter for synchrony in networks of limit cycle oscillators

Malte Schröder, Marc Timme, Dirk Witthaut

Comments: 8 pages, 4 figures

Journal-ref: Chaos 27, 073119 (2017)

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

[49] arXiv:1704.04185 [pdf, other]

Title: Partially unstable attractors in networks of forced integrate-and-fire oscillators

Hai-Lin Zou, Zi-Chen Deng, Wei-Peng Hu, Kazuyuki Aihara, Ying-Cheng Lai

Comments: 14 pages

Subjects: Chaotic Dynamics (nlin.CD)

[50] arXiv:1704.04412 [pdf, other]

Title: B\"acklund transformations of $Z_n$-Sine-Gordon systems

Xueping Yang, Chuanzhong Li

Comments: 13 Pages, accepted for publication in Modern Physics Letters B

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