Nonlinear Sciences

Authors and titles for December 2014

[1] arXiv:1412.0119 [pdf, other]

Title: Self-organization in soliton modelocked parametric frequency combs

Y. Henry Wen, Michael R. E. Lamont, Isabel M. Kloumann, Steven H. Strogatz, Alexander L. Gaeta

Journal-ref: Phys. Rev. A 94, 063843 (2016)

Subjects: Pattern Formation and Solitons (nlin.PS)

[2] arXiv:1412.0164 [pdf, other]

Title: Dynamics of generalized PT-symmetric dimers with time periodic gain-loss

F. Battelli, J. Diblik, M. Feckan, J. Pickton, M. Pospisil, H. Susanto

Comments: submitted (2014)

Journal-ref: Nonlinear Dynamics 81, 353-371 (2015)

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas); Classical Analysis and ODEs (math.CA); Optics (physics.optics)

[3] arXiv:1412.0293 [pdf, other]

Title: Simple scenarios of onset of chaos in three-dimensional maps

Alexander Gonchenko, Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev

Subjects: Chaotic Dynamics (nlin.CD)

[4] arXiv:1412.0328 [pdf, other]

Title: Regular and Chaotic Dynamics of a Piecewise Smooth Bouncer

Cameron K. Langer, Bruce N. Miller

Comments: 21 pages, 19 figures, submitted to Chaos November 11, 2014

Subjects: Chaotic Dynamics (nlin.CD)

[5] arXiv:1412.0533 [pdf, other]

Title: Localization in active incommensurate arrays

T.V. Laptyeva, S.V. Denisov, G.V. Osipov, M.V. Ivanchenko

Comments: 5 pages, 6 figures

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

[6] arXiv:1412.0621 [pdf, other]

Title: Low-frequency variability and heat transport in a low-order nonlinear coupled ocean-atmosphere model

Stéphane Vannitsem, Jonathan Demaeyer, Lesley De Cruz, Michael Ghil

Comments: v1: 41 pages, 17 figures; v2-: 42 pages, 15 figures

Journal-ref: Physica D 309 (2015) 71-85

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

[7] arXiv:1412.0666 [pdf, other]

Title: Algebraic Geometrization of the Kuramoto Model: Equilibria and Stability Analysis

Dhagash Mehta, Noah Daleo, Florian Dörfler, Jonathan D. Hauenstein

Comments: 6 pages, 12 figures. Added a reference and corrected typos

Subjects: Chaotic Dynamics (nlin.CD); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Dynamical Systems (math.DS)

[8] arXiv:1412.0812 [pdf, other]

Title: Wave generation in unidirectional chains of idealized neural oscillators

Bastien Fernandez, Stanislav M. Mintchev

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Classical Analysis and ODEs (math.CA)

[9] arXiv:1412.0873 [pdf, other]

Title: Fidelity and Reversibility in the Restricted Three Body Problem

Federico Panichi, Luca Ciotti, Giorgio Turchetti

Comments: 30 pages, 18 figures, 1 table

Subjects: Chaotic Dynamics (nlin.CD); Earth and Planetary Astrophysics (astro-ph.EP)

[10] arXiv:1412.0957 [pdf, other]

Title: Amplitude-phase coupling drives chimera states in globally coupled laser networks

Fabian Böhm, Anna Zakharova, Eckehard Schöll, Kathy Lüdge

Comments: 5 pages, 5 figures

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

[11] arXiv:1412.0994 [pdf, other]

Title: Breather mobility and the PN potential: Brief review and recent progress

Magnus Johansson, Peter Jason (Department of Physics, Chemistry and Biology (IFM), Linköping University, Sweden)

Comments: 31 pages, 11 figures. In: J.F.R. Archilla, et al. (eds.) Quodons in mica: nonlinear localized travelling excitations in crystals. Springer (2015). To appear

Subjects: Pattern Formation and Solitons (nlin.PS); Materials Science (cond-mat.mtrl-sci); Optics (physics.optics)

[12] arXiv:1412.1036 [pdf, other]

Title: Structured scale-dependence in the Lyapunov exponent of a Boolean chaotic map

Seth D. Cohen

Subjects: Chaotic Dynamics (nlin.CD)

[13] arXiv:1412.1334 [pdf, other]

Title: Multisoliton solution and super-bilinear form of lattice supersymmetric KdV equation

A. S. Carstea

Comments: 13 pages, LaTeX, no figures

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

[14] arXiv:1412.1361 [pdf, other]

Title: Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment

V. Semenov, A. Feoktistov, T. Vadivasova, E. Schöll, A. Zakharova

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

[15] arXiv:1412.1369 [pdf, other]

Title: Complementary action of chemical and electrical synapses to perception

F. S. Borges, E. L. Lameu, A. M. Batista, K. C. Iarosz, M. S. Baptista, R. L. Viana

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

[16] arXiv:1412.1396 [pdf, other]

Title: Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary

N. Cirilo António, N. Manojlović, E. Ragoucy, I. Salom

Comments: 31 pages; presentation improved. arXiv admin note: substantial text overlap with arXiv:1405.7398

Journal-ref: Nuclear Physics B 893 (2015) 305-331

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

[17] arXiv:1412.1522 [pdf, other]

Title: When Does Linear Stability Not Exclude Nonlinear Instability ?

P.G. Kevrekidis, D.E. Pelinovsky, A. Saxena

Comments: 5 pages, 3 figures

Journal-ref: Phys. Rev. Lett. 114, 214101 (2015)

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

[18] arXiv:1412.1561 [pdf, other]

Title: Phase and Amplitude dynamics of nonlinearly coupled oscillators

P. Cudmore, C.A. Holmes

Comments: 15 Pages, 8 Figures

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

[19] arXiv:1412.1754 [pdf, other]

Title: Topological atlas of the Kovalevskaya top in a double field

Mikhail P. Kharlamov, Pavel E. Ryabov

Comments: LaTex, 32 pages, 13 figures, English

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

[20] arXiv:1412.1817 [pdf, other]

Title: Scroll Waves Pinned to Moving Heterogeneities

Hua Ke, Zhihui Zhang, Oliver Steinbock

Journal-ref: Phys. Rev. E 91, 032930 (2015)

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

[21] arXiv:1412.1910 [pdf, other]

Title: Bilinear B\"acklund transformations and Lax pair for the Boussinesq equation

Yong-Qiang Bai, Yan-Jun LV

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

[22] arXiv:1412.2001 [pdf, other]

Title: Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity

Y. V. Kartashov, B. A. Malomed, Y. Shnir, L. Torner

Comments: 12 pages, 5 figures, to appear in Physical Review Letters

Journal-ref: Physical Review Letters 113, 264101 (2014)

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Gases (cond-mat.quant-gas); High Energy Physics - Theory (hep-th); Optics (physics.optics)

[23] arXiv:1412.2058 [pdf, other]

Title: Mixed mode synchronization and network bursting of neurons with post-inhibitory rebound

Roman Nagornov, Grigory Osipov, Maxim Komarov, Arkady Pikovsky, Andrey Shilnikov

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

[24] arXiv:1412.2205 [pdf, other]

Title: Nonlinear dynamics of ionization stabilization of atoms in intense laser fields

Michael Norman, C. Chandre (CPT), T. Uzer, Peijie Wang

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

[25] arXiv:1412.2242 [pdf, other]

Title: The study of Lorenz and R\"ossler strange attractors by means of quantum theory

Yu.I. Bogdanov, N.A. Bogdanova

Comments: Submitted to Laser Physics

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

[26] arXiv:1412.2383 [pdf, other]

Title: Soliton equations related to the affine Kac-Moody algebra D^(1)_4

Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov, Stanislav K. Varbev

Comments: 27 pages. V2: 30 pages, 1 figure. Improvements in the whole text, typos corrected, references added. V3: 30 pages, 1 figure. Minor changes

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

[27] arXiv:1412.2574 [pdf, other]

Title: Bi-$\cal{PT}$ symmetry in nonlinearly damped dynamical systems and tailoring $\cal{PT}$ regions with position dependent loss-gain profiles

S. Karthiga, V.K. Chandrasekar, M. Senthilvelan, M. Lakshmanan

Comments: Accepted for publication in Physical Review A

Subjects: Pattern Formation and Solitons (nlin.PS); Quantum Physics (quant-ph)

[28] arXiv:1412.2579 [pdf, other]

Title: N=1 super sinh-Gordon model with defects revisited

A.R. Aguirre, J.F. Gomes, N.I. Spano, A.H. Zimerman (IFT-UNESP, Sao Paulo)

Comments: Latex 26 pages

Journal-ref: JHEP 02 (2015) 175

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

[29] arXiv:1412.2685 [pdf, other]

Title: A Mean-Field Analogue of the Hong-Ou-Mandel Experiment With Bright Solitons

Zhi-Yuan Sun, Panayotis G. Kevrekidis, Peter Krüger

Comments: 15 pages, 7 figures

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

[30] arXiv:1412.2867 [pdf, other]

Title: Non-Integrability of Some Higher-Order Painlev\'e Equations in the Sense of Liouville

Ognyan Christov, Georgi Georgiev

Journal-ref: SIGMA 11 (2015), 045, 20 pages

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

[31] arXiv:1412.2923 [pdf, other]

Title: Pattern formation in multiplex networks

Nikos E. Kouvaris, Shigefumi Hata, Albert Díaz-Guilera

Journal-ref: Scientific Reports 5 10840 (2015)

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Pattern Formation and Solitons (nlin.PS); Biological Physics (physics.bio-ph)

[32] arXiv:1412.3201 [pdf, other]

Title: Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons

K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi, M. Lakshmanan

Comments: 17 pages, 10 figures

Journal-ref: Phys.Rev.E. 90, 052912 (2014)

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

[33] arXiv:1412.3410 [pdf, other]

Title: Stochastic motion of bumps in planar neural fields

Daniel Poll, Zachary P. Kilpatrick

Comments: 25 pages, 7 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Neurons and Cognition (q-bio.NC)

[34] arXiv:1412.3495 [pdf, other]

Title: Absence of solitons for the defocusing NLS equation on the half-line

Jonatan Lenells

Comments: 5 pages

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

[35] arXiv:1412.3541 [pdf, other]

Title: Asymptotic behaviour of the fourth Painlev\'e transcendents in the space of initial values

Nalini Joshi, Milena Radnović

Comments: 30 pages, 1 figure; Added Section 3 on the special solutions

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

[36] arXiv:1412.3803 [pdf, other]

Title: Dynamical Transitions in Large Systems of Mean Field-Coupled Landau-Stuart Oscillators: Extensive Chaos and Clumped States

Wai Lim Ku, Michelle Girvan, Edward Ott

Subjects: Chaotic Dynamics (nlin.CD)

[37] arXiv:1412.3846 [pdf, other]

Title: Spectral curves and discrete Painlev\'e equations

Christopher M. Ormerod

Comments: 21 pages

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

[38] arXiv:1412.3883 [pdf, other]

Title: Deautonomisation by singularity confinement: an algebro-geometric justification

Takafumi Mase, Ralph Willox, Basil Grammaticos, Alfred Ramani

Comments: 19 pages, 10 figures

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

[39] arXiv:1412.3889 [pdf, other]

Title: Stochastic synchronization of neural activity waves

Zachary P. Kilpatrick

Comments: 6 pages, 4 figures

Journal-ref: Phys. Rev. E 91, 040701 (2015)

Subjects: Pattern Formation and Solitons (nlin.PS); Neurons and Cognition (q-bio.NC)

[40] arXiv:1412.3901 [pdf, other]

Title: Regions of existence of critical motions for the generalized Kowalevski top and bifurcation diagrams

Mikhail P. Kharlamov

Comments: LaTex, 30 pages, 3 figures, Russian

Journal-ref: Mekh. Tverd. Tela, 2006, No. 36, pp. 13--22

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

[41] arXiv:1412.4147 [pdf, other]

Title: Transitions From Order to Disorder in Multi-Dark and Multi-Dark-Bright Soliton Atomic Clouds

Wenlong Wang, P.G. Kevrekidis

Comments: 12 pages, 13 figures

Journal-ref: Phys. Rev. E 91, 032905 (2015)

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

[42] arXiv:1412.4415 [pdf, other]

Title: A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations

Stephen C. Anco, Priscila Leal da Silva, Igor Leite Freire

Comments: 25 pages; new material added: derivation of N-peakon equations, investigation of N=2 peakon/anti-peakon collisions showing wave breaking

Journal-ref: J. Math. Phys. 56 (2015) 091506

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

[43] arXiv:1412.4481 [pdf, other]

Title: Solitons and Vortices in Two-dimensional Discrete Nonlinear Schrodinger Systems with Spatially Modulated Nonlinearity

P.G. Kevrekidis, B.A. Malomed, A. Saxena, D.J. Frantzeskakis, A.R. Bishop

Comments: 13 pages, 13 figures

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

[44] arXiv:1412.4567 [pdf, other]

Title: An Effective Model for Traffic Dynamics and the Nature of the Congested Phase

Bo Yang, Christopher Monterola

Comments: 4+ pages, comments are welcome

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Cellular Automata and Lattice Gases (nlin.CG); Computational Physics (physics.comp-ph)

[45] arXiv:1412.4720 [pdf, other]

Title: Advection diffusion equation with absorbing boundary

John Grant, Michael Wilkinson

Comments: 12 pages, 2 figures

Subjects: Chaotic Dynamics (nlin.CD)

[46] arXiv:1412.4731 [pdf, other]

Title: Unstable Spiral Waves and Local Euclidean Symmetry in a Model of Cardiac Tissue

Christopher D. Marcotte, Roman O. Grigoriev

Comments: 17 pages, 14 figures

Subjects: Pattern Formation and Solitons (nlin.PS)

[47] arXiv:1412.4856 [pdf, other]

Title: Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers

Daniel Law, Jennie D'Ambroise, Panayotis G. Kevrekidis, Detlef Kip

Journal-ref: Photonics 2014, 1(4), 390-403

Subjects: Pattern Formation and Solitons (nlin.PS)

[48] arXiv:1412.4922 [pdf, other]

Title: Incomplete Dirac reduction of constrained Hamiltonian systems

C. Chandre (CPT)

Subjects: Chaotic Dynamics (nlin.CD)

[49] arXiv:1412.5261 [pdf, other]

Title: Cluster Synchronization in Multiplex Networks

Sarika Jalan, Aradhana Singh

Comments: 6 pages, 7 figures

Subjects: Chaotic Dynamics (nlin.CD); Physics and Society (physics.soc-ph)

[50] arXiv:1412.5336 [pdf, other]

Title: Sigma models for quantum chaotic dynamics

Alexander Altland, Sven Gnutzmann, Fritz Haake, Tobias Micklitz

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