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Collective phase response curves for heterogeneous coupled oscillators (2015)

Kevin M. Hannay, Victoria Booth, and Daniel B. Forger

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-25

Description: Author(s): Kevin M. Hannay, Victoria Booth, and Daniel B. Forger Phase response curves (PRCs) have become an indispensable tool in understanding the entrainment and synchronization of biological oscillators. However, biological oscillators are often found in large coupled heterogeneous systems and the variable of physiological importance is the collective rhythm … [Phys. Rev. E 92, 022923] Published Mon Aug 24, 2015

Keywords: Nonlinear Dynamics and Chaos

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Recurrence-time statistics in non-Hamiltonian volume-preserving maps and flows (2015)

Rafael M. da Silva, Marcus W. Beims, and Cesar Manchein

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-25

Description: Author(s): Rafael M. da Silva, Marcus W. Beims, and Cesar Manchein We analyze the recurrence-time statistics (RTS) in three-dimensional non-Hamiltonian volume-preserving systems (VPS): an extended standard map and a fluid model. The extended map is a standard map weakly coupled to an extra dimension which contains a deterministic regular, mixed (regular and chaotic… [Phys. Rev. E 92, 022921] Published Mon Aug 24, 2015

Keywords: Nonlinear Dynamics and Chaos

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Existence and stability of solutions of the cubic complex Ginzburg-Landau equation with delayed Raman scattering (2015)

M. Facão and M. I. Carvalho

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-25

Description: Author(s): M. Facão and M. I. Carvalho We found two stationary solutions of the cubic complex Ginzburg-Landau equation (CGLE) with an additional term modeling the delayed Raman scattering. Both solutions propagate with nonzero velocity. The solution that has lower peak amplitude is the continuation of the chirped soliton of the cubic CGL… [Phys. Rev. E 92, 022922] Published Mon Aug 24, 2015

Keywords: Nonlinear Dynamics and Chaos

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Bifurcation phenomena of two self-propelled camphor disks on an annular field depending on system length (2015)

Kei Nishi, Ken Wakai, Tomoaki Ueda, Miyu Yoshii, Yumihiko S. Ikura, Hiraku Nishimori, Satoshi Nakata, and Masaharu Nagayama

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-19

Description: Author(s): Kei Nishi, Ken Wakai, Tomoaki Ueda, Miyu Yoshii, Yumihiko S. Ikura, Hiraku Nishimori, Satoshi Nakata, and Masaharu Nagayama Mode selection and bifurcation of a synchronized motion involving two symmetric self-propelled objects in a periodic one-dimensional domain were investigated numerically and experimentally by using camphor disks placed on an annular water channel. Newton's equation of motion for each camphor disk, w… [Phys. Rev. E 92, 022910] Published Tue Aug 18, 2015

Keywords: Nonlinear Dynamics and Chaos

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Controlling spatiotemporal chaos in active dissipative-dispersive nonlinear systems (2015)

S. N. Gomes, M. Pradas, S. Kalliadasis, D. T. Papageorgiou, and G. A. Pavliotis

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-20

Description: Author(s): S. N. Gomes, M. Pradas, S. Kalliadasis, D. T. Papageorgiou, and G. A. Pavliotis We present an alternative methodology for the stabilization and control of infinite-dimensional dynamical systems exhibiting low-dimensional spatiotemporal chaos. We show that with an appropriate choice of time-dependent controls we are able to stabilize and/or control all stable or unstable solutio… [Phys. Rev. E 92, 022912] Published Wed Aug 19, 2015

Keywords: Nonlinear Dynamics and Chaos

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Bursting dynamics in a population of oscillatory and excitable Josephson junctions (2015)

Chittaranjan Hens, Pinaki Pal, and Syamal K. Dana

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-21

Description: Author(s): Chittaranjan Hens, Pinaki Pal, and Syamal K. Dana We report an emergent bursting dynamics in a globally coupled network of mixed population of oscillatory and excitable Josephson junctions. The resistive-capacitive shunted junction (RCSJ) model of the superconducting device is considered for this study. We focus on the parameter regime of the junct… [Phys. Rev. E 92, 022915] Published Thu Aug 20, 2015

Keywords: Nonlinear Dynamics and Chaos

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Fermi resonance in dynamical tunneling in a chaotic billiard (2015)

Chang-Hwan Yi, Ji-Hwan Kim, Hyeon-Hye Yu, Ji-Won Lee, and Chil-Min Kim

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-21

Description: Author(s): Chang-Hwan Yi, Ji-Hwan Kim, Hyeon-Hye Yu, Ji-Won Lee, and Chil-Min Kim We elucidate that Fermi resonance ever plays a decisive role in dynamical tunneling in a chaotic billiard. Interacting with each other through an avoided crossing, a pair of eigenfunctions are coupled through tunneling channels for dynamical tunneling. In this case, the tunneling channels are an isl… [Phys. Rev. E 92, 022916] Published Thu Aug 20, 2015

Keywords: Nonlinear Dynamics and Chaos

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Laser diode nonlinear dynamics from a filtered phase-conjugate optical feedback (2015)

Lionel Weicker, Thomas Erneux, Delphine Wolfersberger, and Marc Sciamanna

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-13

Description: Author(s): Lionel Weicker, Thomas Erneux, Delphine Wolfersberger, and Marc Sciamanna The rate equations for a laser diode subject to a filtered phase-conjugate optical feedback are studied both analytically and numerically. We determine the Hopf bifurcation conditions, which we explore by using asymptotic methods. Numerical simulations of the laser rate equations indicate that diffe… [Phys. Rev. E 92, 022906] Published Wed Aug 12, 2015

Keywords: Nonlinear Dynamics and Chaos

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Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling (2015)

Maxim Komarov and Arkady Pikovsky

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-04

Description: Author(s): Maxim Komarov and Arkady Pikovsky We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent approach and direct numerical simulations, we argue that a t… [Phys. Rev. E 92, 020901(R)] Published Mon Aug 03, 2015

Keywords: Nonlinear Dynamics and Chaos

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Dynamics of a differential-difference integrable (2+1)-dimensional system (2015)

Guo-Fu Yu and Zong-Wei Xu

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-06-06

Description: Author(s): Guo-Fu Yu and Zong-Wei Xu A Kadomtsev-Petviashvili- (KP-) type equation appears in fluid mechanics, plasma physics, and gas dynamics. In this paper, we propose an integrable semidiscrete analog of a coupled ( 2 + 1 ) -dimensional system which is related to the KP equation and the Zakharov equation. N -soliton solutions of the disc... [Phys. Rev. E 91, 062902] Published Tue Jun 02, 2015

Keywords: Nonlinear Dynamics and Chaos

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Different types of critical behavior in conservatively coupled Hénon maps (2015)

Dmitry V. Savin, Alexander P. Kuznetsov, Alexey V. Savin, and Ulrike Feudel

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-06-09

Description: Author(s): Dmitry V. Savin, Alexander P. Kuznetsov, Alexey V. Savin, and Ulrike Feudel We study the dynamics of two conservatively coupled Hénon maps at different levels of dissipation. It is shown that the decrease of dissipation leads to changes in the structure of the parameter plane and the scenarios of transition to chaos compared to the case of infinitely strong dissipation. Par... [Phys. Rev. E 91, 062905] Published Fri Jun 05, 2015

Keywords: Nonlinear Dynamics and Chaos

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Conductance stability in chaotic and integrable quantum dots with random impurities (2015)

Guanglei Wang, Lei Ying, and Ying-Cheng Lai

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-04

Description: Author(s): Guanglei Wang, Lei Ying, and Ying-Cheng Lai For a quantum dot system of fixed geometry, in the presence of random impurities the average conductance over an appropriate range of the Fermi energy decreases as the impurity strength is increased. Can the nature of the corresponding classical dynamics in the dot region affect the rate of decrease… [Phys. Rev. E 92, 022901] Published Mon Aug 03, 2015

Keywords: Nonlinear Dynamics and Chaos

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Determining individual phase response curves from aggregate population data (2015)

Dan Wilson and Jeff Moehlis

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-04

Description: Author(s): Dan Wilson and Jeff Moehlis Phase reduction is an invaluable technique for investigating the dynamics of nonlinear limit cycle oscillators. Central to the implementation of phase reduction is the ability to calculate phase response curves (PRCs), which describe an oscillator's response to an external perturbation. Current expe… [Phys. Rev. E 92, 022902] Published Mon Aug 03, 2015

Keywords: Nonlinear Dynamics and Chaos

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Cyclic synchronous patterns in coupled discontinuous maps (2015)

Keli Yang, Xingang Wang, and Shi-Xian Qu

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-13

Description: Author(s): Keli Yang, Xingang Wang, and Shi-Xian Qu Cyclic collective behaviors are commonly observed in biological and neuronal systems, yet the dynamical origins remain unclear. Here, by models of coupled discontinuous map lattices, we investigate the cyclic collective behaviors by means of cluster synchronization. Specifically, we study the synchr… [Phys. Rev. E 92, 022905] Published Wed Aug 12, 2015

Keywords: Nonlinear Dynamics and Chaos

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Comparison of winding-number sequences for symmetric and asymmetric oscillatory systems (2015)

Volker Englisch, Ulrich Parlitz, and Werner Lauterborn

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-15

Description: Author(s): Volker Englisch, Ulrich Parlitz, and Werner Lauterborn The bifurcation sets of symmetric and asymmetric periodically driven oscillators are investigated and classified by means of winding numbers. It is shown that periodic windows within chaotic regions are forming winding-number sequences on different levels. These sequences can be described by a simpl… [Phys. Rev. E 92, 022907] Published Fri Aug 14, 2015

Keywords: Nonlinear Dynamics and Chaos

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Noise-induced suppression of nonlinear distortions in a bistable system with biharmonic excitation in vibrational resonance (2015)

V. N. Chizhevsky

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-09-11

Description: Author(s): V. N. Chizhevsky This paper is a report of the experimental evidence of suppression of vibrational higher-order harmonics in a bistable vertical-cavity surface-emitting laser driven by two harmonic signals with very different frequencies in the phenomenon of vibrational resonance when an optimal amount of white, Gau… [Phys. Rev. E 92, 032902] Published Thu Sep 10, 2015

Keywords: Nonlinear Dynamics and Chaos

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Rich spectrum of neural field dynamics in the presence of short-term synaptic depression (2015)

He Wang, Kin Lam, C. C. Alan Fung, K. Y. Michael Wong, and Si Wu

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-09-15

Description: Author(s): He Wang, Kin Lam, C. C. Alan Fung, K. Y. Michael Wong, and Si Wu In continuous attractor neural networks (CANNs), spatially continuous information such as orientation, head direction, and spatial location is represented by Gaussian-like tuning curves that can be displaced continuously in the space of the preferred stimuli of the neurons. We investigate how short-… [Phys. Rev. E 92, 032908] Published Mon Sep 14, 2015

Keywords: Nonlinear Dynamics and Chaos

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Analytical solitonlike solutions and the dynamics of ultracold Fermi gases in a time-dependent three-dimensional harmonic potential (2015)

Ying Wang, Guosen Luo, Yu Zhou, and Chao Hang

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-09-17

Description: Author(s): Ying Wang, Guosen Luo, Yu Zhou, and Chao Hang We present a theoretical study of solitonlike solutions and their dynamics of ultracold superfluid Fermi gases trapped in a time-dependent three-dimensional (3D) harmonic potential with gain or loss. The 3D analytical solitonlike solutions are obtained without introducing any additional integrabilit… [Phys. Rev. E 92, 032910] Published Wed Sep 16, 2015

Keywords: Nonlinear Dynamics and Chaos

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Terminal retrograde turn of rolling rings (2015)

Mir Abbas Jalali, Milad S. Sarebangholi, and Mohammad-Reza Alam

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-09-24

Description: Author(s): Mir Abbas Jalali, Milad S. Sarebangholi, and Mohammad-Reza Alam Wedding rings spinning on a surface can follow surprising boomeranglike trajectories. [Phys. Rev. E 92, 032913] Published Tue Sep 22, 2015

Keywords: Nonlinear Dynamics and Chaos

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Multifractality of quantum wave functions in the presence of perturbations (2015)

R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, and J. Martin

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-09-29

Description: Author(s): R. Dubertrand, I. García-Mata, B. Georgeot, O. Giraud, G. Lemarié, and J. Martin We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model, and a random matrix model. We apply several types of natural pe… [Phys. Rev. E 92, 032914] Published Mon Sep 28, 2015

Keywords: Nonlinear Dynamics and Chaos

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Integrable pair-transition-coupled nonlinear Schrödinger equations (2015)

Liming Ling and Li-Chen Zhao

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-08-26

Description: Author(s): Liming Ling and Li-Chen Zhao We study integrable coupled nonlinear Schrödinger equations with pair particle transition between components. Based on exact solutions of the coupled model with attractive or repulsive interaction, we predict that some new dynamics of nonlinear excitations can exist, such as the striking transition … [Phys. Rev. E 92, 022924] Published Tue Aug 25, 2015

Keywords: Nonlinear Dynamics and Chaos

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Twisted chimera states and multicore spiral chimera states on a two-dimensional torus (2015)

Jianbo Xie, Edgar Knobloch, and Hsien-Ching Kao

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-10-27

Description: Author(s): Jianbo Xie, Edgar Knobloch, and Hsien-Ching Kao Chimera states consisting of domains of coherently and incoherently oscillating oscillators in a two-dimensional periodic array of nonlocally coupled phase oscillators are studied. In addition to the one-dimensional chimera states familiar from one spatial dimension, two-dimensional structures terme… [Phys. Rev. E 92, 042921] Published Mon Oct 26, 2015

Keywords: Nonlinear Dynamics and Chaos

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Transversal stability of the bouncing ball on a concave surface (2015)

J.-Y. Chastaing, G. Pillet, N. Taberlet, and J.-C. Géminard

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-29

Description: Author(s): J.-Y. Chastaing, G. Pillet, N. Taberlet, and J.-C. Géminard A ball bouncing repeatedly on a vertically vibrating surface constitutes the famous “bouncing ball” problem, a nonlinear system used in the 1980s, and still in use nowadays, to illustrate the route to chaos by period doubling. In experiments, in order to avoid the ball escape that would be inevitabl... [Phys. Rev. E 91, 052918] Published Wed May 27, 2015

Keywords: Nonlinear Dynamics and Chaos

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Stochastic sensitivity analysis of noise-induced suppression of firing and giant variability of spiking in a Hodgkin-Huxley neuron model (2015)

Irina Bashkirtseva, Alexander B. Neiman, and Lev Ryashko

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-30

Description: Author(s): Irina Bashkirtseva, Alexander B. Neiman, and Lev Ryashko We study the stochastic dynamics of a Hodgkin-Huxley neuron model in a regime of coexistent stable equilibrium and a limit cycle. In this regime, noise may suppress periodic firing by switching the neuron randomly to a quiescent state. We show that at a critical value of the injected current, the me... [Phys. Rev. E 91, 052920] Published Fri May 29, 2015

Keywords: Nonlinear Dynamics and Chaos

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Mean-field dispersion-induced spatial synchrony, oscillation and amplitude death, and temporal stability in an ecological model (2015)

Tanmoy Banerjee, Partha Sharathi Dutta, and Anubhav Gupta

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-30

Description: Author(s): Tanmoy Banerjee, Partha Sharathi Dutta, and Anubhav Gupta One of the most important issues in spatial ecology is to understand how spatial synchrony and dispersal-induced stability interact. In the existing studies it is shown that dispersion among identical patches results in spatial synchrony; on the other hand, the combination of spatial heterogeneity a... [Phys. Rev. E 91, 052919] Published Fri May 29, 2015

Keywords: Nonlinear Dynamics and Chaos

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Elastic enhancement factor: From mesoscopic systems to macroscopic analogous devices (2015)

Valentin V. Sokolov and Oleg V. Zhirov

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-27

Description: Author(s): Valentin V. Sokolov and Oleg V. Zhirov Excess of probabilities of elastic processes over inelastic ones is a characteristic feature of the chaotic resonance scattering predicted by the random matrix theory (RMT). Quantitatively, this phenomenon is characterized by the elastic enhancement factor F ( β ) that is, essentially, a typical ratio ... [Phys. Rev. E 91, 052917] Published Thu May 21, 2015

Keywords: Nonlinear Dynamics and Chaos

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Phase-flip chimera induced by environmental nonlocal coupling (2016)

V. K. Chandrasekar, R. Gopal, D. V. Senthilkumar, and M. Lakshmanan

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-09

Description: Author(s): V. K. Chandrasekar, R. Gopal, D. V. Senthilkumar, and M. Lakshmanan We report the emergence of a collective dynamical state, namely, the phase-flip chimera, from an ensemble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are nonlocally coupled. The phase-flip chimera is characterize… [Phys. Rev. E 94, 012208] Published Thu Jul 07, 2016

Keywords: Nonlinear Dynamics and Chaos

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Heterogeneity of time delays determines synchronization of coupled oscillators (2016)

Spase Petkoski, Andreas Spiegler, Timothée Proix, Parham Aram, Jean-Jacques Temprado, and Viktor K. Jirsa

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-12

Description: Author(s): Spase Petkoski, Andreas Spiegler, Timothée Proix, Parham Aram, Jean-Jacques Temprado, and Viktor K. Jirsa Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial distribution of time delays with regard to synchronization, by d… [Phys. Rev. E 94, 012209] Published Mon Jul 11, 2016

Keywords: Nonlinear Dynamics and Chaos

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Isostable reduction with applications to time-dependent partial differential equations (2016)

Dan Wilson and Jeff Moehlis

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-12

Description: Author(s): Dan Wilson and Jeff Moehlis Isostables and isostable reduction, analogous to isochrons and phase reduction for oscillatory systems, are useful in the study of nonlinear equations which asymptotically approach a stationary solution. In this work, we present a general method for isostable reduction of partial differential equati… [Phys. Rev. E 94, 012211] Published Mon Jul 11, 2016

Keywords: Nonlinear Dynamics and Chaos

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Noise-assisted estimation of attractor invariants (2016)

Juan F. Restrepo and Gastón Schlotthauer

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-13

Description: Author(s): Juan F. Restrepo and Gastón Schlotthauer In this article, the noise-assisted correlation integral (NCI) is proposed. The purpose of the NCI is to estimate the invariants of a dynamical system, namely the correlation dimension ( D ) , the correlation entropy ( K 2 ) , and the noise level ( σ ) . This correlation integral is induced by using random no… [Phys. Rev. E 94, 012212] Published Tue Jul 12, 2016

Keywords: Nonlinear Dynamics and Chaos

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Phase separation between conductive and insulative materials induced by the electric field (2016)

Yuko Nagamine

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-15

Description: Author(s): Yuko Nagamine To demonstrate that phase separation is a main mechanism of pattern formation for one of the spatiotemporal patterns emerging in the Ag and Sb electrodeposition system, I performed numerical simulations to model the mixed system of conductive and insulative materials under a steady electric field. F… [Phys. Rev. E 94, 010203(R)] Published Thu Jul 14, 2016

Keywords: Nonlinear Dynamics and Chaos

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Imperfect traveling chimera states induced by local synaptic gradient coupling (2016)

Bidesh K. Bera, Dibakar Ghosh, and Tanmoy Banerjee

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-15

Description: Author(s): Bidesh K. Bera, Dibakar Ghosh, and Tanmoy Banerjee In this paper, we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through local , synaptic gradient coupling. We discover a new chimera pattern, namely the imperfect traveling chimera state , where the incoherent traveling domain spreads into the coher… [Phys. Rev. E 94, 012215] Published Thu Jul 14, 2016

Keywords: Nonlinear Dynamics and Chaos

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Thermal motion of a nonlinear localized pattern in a quasi-one-dimensional system (2016)

Tommy Dessup, Christophe Coste, and Michel Saint Jean

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-16

Description: Author(s): Tommy Dessup, Christophe Coste, and Michel Saint Jean We study the dynamics of localized nonlinear patterns in a quasi-one-dimensional many-particle system near a subcritical pitchfork bifurcation. The normal form at the bifurcation is given and we show that these patterns can be described as solitary-wave envelopes. They are stable in a large temperat… [Phys. Rev. E 94, 012217] Published Fri Jul 15, 2016

Keywords: Nonlinear Dynamics and Chaos

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Entanglement and localization transitions in eigenstates of interacting chaotic systems (2016)

Arul Lakshminarayan, Shashi C. L. Srivastava, Roland Ketzmerick, Arnd Bäcker, and Steven Tomsovic

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-23

Description: Author(s): Arul Lakshminarayan, Shashi C. L. Srivastava, Roland Ketzmerick, Arnd Bäcker, and Steven Tomsovic The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von Neumann entropy, Havrda-Charvát-Tsallis entropies, and the averaged inverse participation ratio. All the entropies … [Phys. Rev. E 94, 010205(R)] Published Fri Jul 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Inductive intrinsic localized modes in a one-dimensional nonlinear electric transmission line (2016)

M. Sato, T. Mukaide, T. Nakaguchi, and A. J. Sievers

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-26

Description: Author(s): M. Sato, T. Mukaide, T. Nakaguchi, and A. J. Sievers The experimental properties of intrinsic localized modes (ILMs) have long been compared with theoretical dynamical lattice models that make use of nonlinear onsite and/or nearest-neighbor intersite potentials. Here it is shown for a one-dimensional lumped electrical transmission line that a nonlinea… [Phys. Rev. E 94, 012223] Published Mon Jul 25, 2016

Keywords: Nonlinear Dynamics and Chaos

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Suppression of pattern-forming instabilities by genetic optimization (2016)

S. Kumar, R. Herrero, M. Botey, and K. Staliunas

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-14

Description: Author(s): S. Kumar, R. Herrero, M. Botey, and K. Staliunas We propose a versatile “stabilization on demand” method for the suppression of modulation instability in oscillatory spatially extended nonlinear systems, based on a genetically optimized multifrequency spatiotemporal modulation of the potential. The method, which ensures full stabilization even for… [Phys. Rev. E 94, 010202(R)] Published Wed Jul 13, 2016

Keywords: Nonlinear Dynamics and Chaos

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Dynamics of two populations of phase oscillators with different frequency distributions (2016)

Yu Terada and Toshio Aoyagi

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-14

Description: Author(s): Yu Terada and Toshio Aoyagi A large variety of rhythms are observed in nature. Rhythms such as electroencephalogram signals in the brain can often be regarded as interacting. In this study, we investigate the dynamical properties of rhythmic systems in two populations of phase oscillators with different frequency distributions… [Phys. Rev. E 94, 012213] Published Wed Jul 13, 2016

Keywords: Nonlinear Dynamics and Chaos

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Prediction of dynamical systems by symbolic regression (2016)

Markus Quade, Markus Abel, Kamran Shafi, Robert K. Niven, and Bernd R. Noack

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-14

Description: Author(s): Markus Quade, Markus Abel, Kamran Shafi, Robert K. Niven, and Bernd R. Noack We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or simplified models need to be found. We focus on symbolic re… [Phys. Rev. E 94, 012214] Published Wed Jul 13, 2016

Keywords: Nonlinear Dynamics and Chaos

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Spatiotemporal accessible solitons in fractional dimensions (2016)

Wei-Ping Zhong, Milivoj R. Belić, Boris A. Malomed, Yiqi Zhang, and Tingwen Huang

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-15

Description: Author(s): Wei-Ping Zhong, Milivoj R. Belić, Boris A. Malomed, Yiqi Zhang, and Tingwen Huang We report solutions for solitons of the “accessible” type in globally nonlocal nonlinear media of fractional dimension (FD), viz., for self-trapped modes in the space of effective dimension 2 〈 D ≤ 3 with harmonic-oscillator potential whose strength is proportional to the total power of the wave fiel… [Phys. Rev. E 94, 012216] Published Thu Jul 14, 2016

Keywords: Nonlinear Dynamics and Chaos

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Experimental evidence of deterministic coherence resonance in coupled chaotic systems with frequency mismatch (2016)

M. A. García-Vellisca, A. N. Pisarchik, and R. Jaimes-Reátegui

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-16

Description: Author(s): M. A. García-Vellisca, A. N. Pisarchik, and R. Jaimes-Reátegui We present the experimental evidence of deterministic coherence resonance in unidirectionally coupled two and three Rössler electronic oscillators with mismatch between their natural frequencies. The regularity in both the amplitude and the phase of chaotic fluctuations is experimentally proven by t… [Phys. Rev. E 94, 012218] Published Fri Jul 15, 2016

Keywords: Nonlinear Dynamics and Chaos

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Linked and knotted chimera filaments in oscillatory systems (2016)

Hon Wai Lau and Jörn Davidsen

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-19

Description: Author(s): Hon Wai Lau and Jörn Davidsen While the existence of stable knotted and linked vortex lines has been established in many experimental and theoretical systems, their existence in oscillatory systems and systems with nonlocal coupling has remained elusive. Here, we present strong numerical evidence that stable knots and links such… [Phys. Rev. E 94, 010204(R)] Published Mon Jul 18, 2016

Keywords: Nonlinear Dynamics and Chaos

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Clustering of time-evolving scaling dynamics in a complex signal (2016)

Hamidreza Saghir, Tom Chau, and Azadeh Kushki

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-19

Description: Author(s): Hamidreza Saghir, Tom Chau, and Azadeh Kushki Complex time series are widespread in physics and physiology. Multifractal analysis provides a tool to study the scaling dynamics of such time series. However, the temporal evolution of scaling dynamics has been ignored by traditional tools such as the multifractal spectrum. We present scaling maps … [Phys. Rev. E 94, 012220] Published Mon Jul 18, 2016

Keywords: Nonlinear Dynamics and Chaos

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Multiplicative noise can lead to the collapse of dissipative solitons (2016)

Orazio Descalzi, Carlos Cartes, and Helmut R. Brand

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-19

Description: Author(s): Orazio Descalzi, Carlos Cartes, and Helmut R. Brand We investigate the influence of spatially homogeneous multiplicative noise on the formation of localized patterns in the framework of the cubic-quintic complex Ginzburg-Landau equation. We find that for sufficiently large multiplicative noise the formation of stationary and temporally periodic dissi… [Phys. Rev. E 94, 012219] Published Mon Jul 18, 2016

Keywords: Nonlinear Dynamics and Chaos

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Kink ratchet induced by a time-dependent symmetric field potential (2016)

Bernardo Sánchez-Rey, Jesús Casado-Pascual, and Niurka R. Quintero

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-23

Description: Author(s): Bernardo Sánchez-Rey, Jesús Casado-Pascual, and Niurka R. Quintero This paper proposes a mechanism for soliton ratchets in long Josephson junctions, in the absence of external forces and with a symmetric field potential. This is done by inducing a time-dependent phase shift in the potential in the sine-Gordon equation. The mechanism can also be applied to other similar models. [Phys. Rev. E 94, 012221] Published Fri Jul 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Ultrasensitive hysteretic force sensing with parametric nonlinear oscillators (2016)

Luca Papariello, Oded Zilberberg, Alexander Eichler, and R. Chitra

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-08-02

Description: Author(s): Luca Papariello, Oded Zilberberg, Alexander Eichler, and R. Chitra We propose a method for linear detection of weak forces using parametrically driven nonlinear resonators. The method is based on a peculiar feature in the response of the resonator to a near resonant periodic external force. This feature stems from a complex interplay among the parametric drive, ext… [Phys. Rev. E 94, 022201] Published Mon Aug 01, 2016

Keywords: Nonlinear Dynamics and Chaos

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Stochastic bifurcations in a prototypical thermoacoustic system (2016)

E. A. Gopalakrishnan, J. Tony, E. Sreelekha, and R. I. Sujith

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-08-02

Description: Author(s): E. A. Gopalakrishnan, J. Tony, E. Sreelekha, and R. I. Sujith We study the influence of noise in a prototypical thermoacoustic system, which represents a nonlinear self-excited bistable oscillator. We analyze the time series of unsteady pressure obtained from a horizontal Rijke tube and a mathematical model to identify the effect of noise. We report the occurr… [Phys. Rev. E 94, 022203] Published Mon Aug 01, 2016

Keywords: Nonlinear Dynamics and Chaos

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Q spoiling in deformed optical microdisks due to resonance-assisted tunneling (2016)

Julius Kullig and Jan Wiersig

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-08-03

Description: Author(s): Julius Kullig and Jan Wiersig Following the experimental observation of resonance-assisted tunneling in noncircular optical microcavities, the authors provide a description of the optical modes and study their lifetime. They apply their method to three different cavity shapes and find good agreement with numerical data and an existing perturbation theory [Phys. Rev. E 94, 022202] Published Tue Aug 02, 2016

Keywords: Nonlinear Dynamics and Chaos

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Jittering waves in rings of pulse oscillators (2016)

Vladimir Klinshov, Dmitry Shchapin, Serhiy Yanchuk, and Vladimir Nekorkin

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-07

Description: Author(s): Vladimir Klinshov, Dmitry Shchapin, Serhiy Yanchuk, and Vladimir Nekorkin Rings of oscillators with delayed pulse coupling are studied analytically, numerically, and experimentally. The basic regimes observed in such rings are rotating waves with constant interspike intervals and phase lags between the neighbors. We show that these rotating waves may destabilize leading t… [Phys. Rev. E 94, 012206] Published Wed Jul 06, 2016

Keywords: Nonlinear Dynamics and Chaos

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Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators (2016)

R. Driben, V. V. Konotop, B. A. Malomed, and T. Meier

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-07

Description: Author(s): R. Driben, V. V. Konotop, B. A. Malomed, and T. Meier The dynamics of a pair of harmonic oscillators represented by three-dimensional fields coupled with a repulsive cubic nonlinearity is investigated through direct simulations of the respective field equations and with the help of the finite-mode Galerkin approximation (GA), which represents the two i… [Phys. Rev. E 94, 012207] Published Wed Jul 06, 2016

Keywords: Nonlinear Dynamics and Chaos

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Lump solitons in a higher-order nonlinear equation in 2+1 dimensions (2016)

P. G. Estévez, E. Díaz, F. Domínguez-Adame, Jose M. Cerveró, and E. Diez

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-21

Description: Author(s): P. G. Estévez, E. Díaz, F. Domínguez-Adame, Jose M. Cerveró, and E. Diez We propose and examine an integrable system of nonlinear equations that generalizes the nonlinear Schrödinger equation to 2 + 1 dimensions. This integrable system of equations is a promising starting point to elaborate more accurate models in nonlinear optics and molecular systems within the continuum… [Phys. Rev. E 93, 062219] Published Mon Jun 20, 2016

Keywords: Nonlinear Dynamics and Chaos

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Stable and unstable development of an interfacial sliding instability (2016)

Robert C. Viesca

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-21

Description: Author(s): Robert C. Viesca Examining a nonlinear instability of sliding rate on a frictional interface of elastic bodies, we investigate whether laboratory-constrained frictional relations suggest universal scaling under even the simplest of configurations. We find blowup solutions by solving an equivalent, classical problem … [Phys. Rev. E 93, 060202(R)] Published Mon Jun 20, 2016

Keywords: Nonlinear Dynamics and Chaos

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Dynamic control for nanostructures through slowly ramping parameters (2016)

Jaeyun Yoo, Robert Blick, and Kang-Hun Ahn

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-29

Description: Author(s): Jaeyun Yoo, Robert Blick, and Kang-Hun Ahn We propose a nanostructure control method which uses slowly ramping parameters. We demonstrate the dynamics of this method in both a nonlinear classical system and a quantum system. When a quantum mechanical two-level atom (quantum dot) is irradiated by an electric field with a slowly increasing fre… [Phys. Rev. E 93, 062225] Published Mon Jun 27, 2016

Keywords: Nonlinear Dynamics and Chaos

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Kuramoto model with uniformly spaced frequencies: Finite-N asymptotics of the locking threshold (2016)

Bertrand Ottino-Löffler and Steven H. Strogatz

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-24

Description: Author(s): Bertrand Ottino-Löffler and Steven H. Strogatz We study phase locking in the Kuramoto model of coupled oscillators in the special case where the number of oscillators, N , is large but finite, and the oscillators' natural frequencies are evenly spaced on a given interval. In this case, stable phase-locked solutions are known to exist if and only … [Phys. Rev. E 93, 062220] Published Wed Jun 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Quantum synchronization in an optomechanical system based on Lyapunov control (2016)

Wenlin Li, Chong Li, and Heshan Song

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-24

Description: Author(s): Wenlin Li, Chong Li, and Heshan Song We extend the concepts of quantum complete synchronization and phase synchronization, which were proposed in A. Mari et al. , Phys. Rev. Lett. 111 , 103605 (2013) , to more widespread quantum generalized synchronization. Generalized synchronization can be considered a necessary condition or a more fle… [Phys. Rev. E 93, 062221] Published Wed Jun 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Influence of optical activity on rogue waves propagating in chiral optical fibers (2016)

D. D. Estelle Temgoua and T. C. Kofane

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-06-24

Description: Author(s): D. D. Estelle Temgoua and T. C. Kofane We derive the nonlinear Schrödinger (NLS) equation in chiral optical fiber with right- and left-hand nonlinear polarization. We use the similarity transformation to reduce the generalized chiral NLS equation to the higher-order integrable Hirota equation. We present the first- and second-order ratio… [Phys. Rev. E 93, 062223] Published Wed Jun 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Generic superweak chaos induced by Hall effect (2016)

Moti Ben-Harush and Itzhack Dana

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-10

Description: Author(s): Moti Ben-Harush and Itzhack Dana We introduce and study the “kicked Hall system” (KHS), i.e., charged particles periodically kicked in the presence of uniform magnetic ( B ) and electric ( E ) fields that are perpendicular to each other and to the kicking direction. We show that for resonant values of B and E and in the weak-chaos regi… [Phys. Rev. E 93, 052207] Published Mon May 09, 2016

Keywords: Nonlinear Dynamics and Chaos

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Master stability islands for amplitude death in networks of delay-coupled oscillators (2016)

Stanley R. Huddy and Jie Sun

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-10

Description: Author(s): Stanley R. Huddy and Jie Sun This paper presents a master stability function (MSF) approach for analyzing the stability of amplitude death (AD) in networks of delay-coupled oscillators. Unlike the familiar MSFs for instantaneously coupled networks, which typically have a single input encoding for the effects of the eigenvalues … [Phys. Rev. E 93, 052209] Published Mon May 09, 2016

Keywords: Nonlinear Dynamics and Chaos

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Focusing waves at arbitrary locations in a ray-chaotic enclosure using time-reversed synthetic sonas (2016)

Bo Xiao, Thomas M. Antonsen, Edward Ott, and Steven M. Anlage

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-07

Description: Author(s): Bo Xiao, Thomas M. Antonsen, Edward Ott, and Steven M. Anlage Time-reversal methods are widely used to achieve wave focusing in acoustics and electromagnetics. Past time-reversal experiments typically require that a transmitter be initially present at the target focusing point, which limits the application of this technique. In this paper, we propose a method … [Phys. Rev. E 93, 052205] Published Fri May 06, 2016

Keywords: Nonlinear Dynamics and Chaos

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Saturation of number variance in embedded random-matrix ensembles (2016)

Ravi Prakash and Akhilesh Pandey

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-28

Description: Author(s): Ravi Prakash and Akhilesh Pandey We study fluctuation properties of embedded random matrix ensembles of noninteracting particles. For ensemble of two noninteracting particle systems, we find that unlike the spectra of classical random matrices, correlation functions are nonstationary. In the locally stationary region of spectra, we… [Phys. Rev. E 93, 052225] Published Thu May 26, 2016

Keywords: Nonlinear Dynamics and Chaos

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Bifurcation and scaling at the aging transition boundary in globally coupled excitable and oscillatory units (2016)

Hiroaki Daido and Kazuho Nishio

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-05-28

Description: Author(s): Hiroaki Daido and Kazuho Nishio Following a previous paper [ Phys. Rev. E 88 , 052907 (2013) ], we study in detail the mechanism of aging transition in globally and diffusively coupled excitable and oscillatory units. Here two of the three models taken up in the earlier work are used, each composed of a large number of units with the… [Phys. Rev. E 93, 052226] Published Thu May 26, 2016

Keywords: Nonlinear Dynamics and Chaos

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Dynamical playground of a higher-order cubic Ginzburg-Landau equation: From orbital connections and limit cycles to invariant tori and the onset of chaos (2016)

V. Achilleos, A. R. Bishop, S. Diamantidis, D. J. Frantzeskakis, T. P. Horikis, N. I. Karachalios, and P. G. Kevrekidis

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-12

Description: Author(s): V. Achilleos, A. R. Bishop, S. Diamantidis, D. J. Frantzeskakis, T. P. Horikis, N. I. Karachalios, and P. G. Kevrekidis The dynamical behavior of a higher-order cubic Ginzburg-Landau equation is found to include a wide range of scenarios due to the interplay of higher-order physically relevant terms. We find that the competition between the third-order dispersion and stimulated Raman scattering effects gives rise to … [Phys. Rev. E 94, 012210] Published Mon Jul 11, 2016

Keywords: Nonlinear Dynamics and Chaos

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Theory of short periodic orbits for partially open quantum maps (2016)

Gabriel G. Carlo, R. M. Benito, and F. Borondo

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-23

Description: Author(s): Gabriel G. Carlo, R. M. Benito, and F. Borondo We extend the semiclassical theory of short periodic orbits [M. Novaes et al. , Phys. Rev. E 80 , 035202(R) (2009) ] to partially open quantum maps, which correspond to classical maps where the trajectories are partially bounced back due to a finite reflectivity R . These maps are representative of a c… [Phys. Rev. E 94, 012222] Published Fri Jul 22, 2016

Keywords: Nonlinear Dynamics and Chaos

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Stochastic reversal dynamics of two interacting magnetic dipoles: A simple model experiment (2016)

Nicolas Plihon, Sophie Miralles, Mickael Bourgoin, and Jean-François Pinton

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-28

Description: Author(s): Nicolas Plihon, Sophie Miralles, Mickael Bourgoin, and Jean-François Pinton We report an experimental study of the dynamics of two coupled magnetic dipoles. The experiment consists in two coplanar permanent disk magnets separated by a distance d , each allowed to rotate on a fixed parallel axis—each magnet's axis being perpendicular to its dipolar moment vector. A torque of … [Phys. Rev. E 94, 012224] Published Wed Jul 27, 2016

Keywords: Nonlinear Dynamics and Chaos

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Dark soliton pair of ultracold Fermi gases for a generalized Gross-Pitaevskii equation model (2016)

Ying Wang, Yu Zhou, Shuyu Zhou, and Yongsheng Zhang

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-07-29

Description: Author(s): Ying Wang, Yu Zhou, Shuyu Zhou, and Yongsheng Zhang We present the theoretical investigation of dark soliton pair solutions for one-dimensional as well as three-dimensional generalized Gross-Pitaevskii equation (GGPE) which models the ultracold Fermi gas during Bardeen-Cooper-Schrieffer–Bose-Einstein condensates crossover. Without introducing any int… [Phys. Rev. E 94, 012225] Published Thu Jul 28, 2016

Keywords: Nonlinear Dynamics and Chaos

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Analytical stability boundaries of an injected two-polarization semiconductor laser (2015)

Gaetan Friart, Athanasios Gavrielides, and Thomas Erneux

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-06

Description: Author(s): Gaetan Friart, Athanasios Gavrielides, and Thomas Erneux The classical problem of a semiconductor laser subject to polarized injection is revisited. From the laser rate equations for the transverse electric (TE) and transverse magnetic (TM) modes, we first determine the steady states. We then investigate their linear stability properties and derive analyt... [Phys. Rev. E 91, 042918] Published Thu Apr 30, 2015

Keywords: Nonlinear Dynamics and Chaos

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Global change in action due to trapping: How to derive it whatever the rate of variation of the dynamics (2015)

Didier Bénisti and Laurent Gremillet

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-06

Description: Author(s): Didier Bénisti and Laurent Gremillet In this paper, we investigate the motion of a set of charged particles acted upon by a growing electrostatic wave in the limit when the initial wave amplitude is vanishingly small and when all the particles have the same initial action, I 0 . We show, both theoretically and numerically, that when all ... [Phys. Rev. E 91, 042915] Published Wed Apr 29, 2015

Keywords: Nonlinear Dynamics and Chaos

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Structured scale dependence in the Lyapunov exponent of a Boolean chaotic map (2015)

Seth D. Cohen

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-06

Description: Author(s): Seth D. Cohen We report on structures in a scale-dependent Lyapunov exponent of an experimental chaotic map that arise due to discontinuities in the map. The chaos is realized in an autonomous Boolean network, which is constructed using asynchronous logic gates to form a map operator that outputs an unclocked pul... [Phys. Rev. E 91, 042917] Published Wed Apr 29, 2015

Keywords: Nonlinear Dynamics and Chaos

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Numerical study of extreme events in a laser diode with phase-conjugate optical feedback (2015)

Émeric Mercier, Armelle Even, Elodie Mirisola, Delphine Wolfersberger, and Marc Sciamanna

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-06

Description: Author(s): Émeric Mercier, Armelle Even, Elodie Mirisola, Delphine Wolfersberger, and Marc Sciamanna Extreme intensity pulses sharing statistical properties similar to rogue waves have been recently observed in a laser diode with phase-conjugate feedback [A. Karsaklian Dal Bosco, D. Wolfersberger, and M. Sciamanna, Opt. Lett. 38 , 703 (2013) ], but remain unexplained. We demonstrate here that a rate ... [Phys. Rev. E 91, 042914] Published Fri Apr 24, 2015

Keywords: Nonlinear Dynamics and Chaos

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Resonance induced by a spatially periodic force in the reaction-diffusion system (2015)

Chenggui Yao, Zhiwei He, Jin; Ming Luo, and Jianwei Shuai

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-07

Description: Author(s): Chenggui Yao, Zhiwei He, JinMing Luo, and Jianwei Shuai The stimulus-dynamic response is an important topic in physics. In this work, we study the dynamics in the reaction-diffusion system subjected to a weak signal and a spatially periodic force. We find that the response of the system to the weak signal is enhanced largely by the spatially periodic for... [Phys. Rev. E 91, 052901] Published Wed May 06, 2015

Keywords: Nonlinear Dynamics and Chaos

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Traveling pulse on a periodic background in parametrically driven systems (2015)

Alejandro O. León, Marcel G. Clerc, and Saliya Coulibaly

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-09

Description: Author(s): Alejandro O. León, Marcel G. Clerc, and Saliya Coulibaly Macroscopic systems with dissipation and time-modulated injection of energy, parametrically driven systems, can self-organize into localized states and/or patterns. We investigate a pulse that travels over a one-dimensional pattern in parametrically driven systems. Based on a minimal prototype model... [Phys. Rev. E 91, 050901] Published Fri May 08, 2015

Keywords: Nonlinear Dynamics and Chaos

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Mode bifurcation of a bouncing dumbbell with chirality (2015)

Yoshitsugu Kubo, Shio Inagaki, Masatoshi Ichikawa, and Kenichi Yoshikawa

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-09

Description: Author(s): Yoshitsugu Kubo, Shio Inagaki, Masatoshi Ichikawa, and Kenichi Yoshikawa We studied the behavior of a dumbbell bouncing upon a sinusoidally vibrating plate. By introducing chiral asymmetry to the geometry of the dumbbell, we observed a cascade of bifurcations with an increase in the vibration amplitude: spinning, orbital, and rolling. In contrast, for an achiral dumbbell... [Phys. Rev. E 91, 052905] Published Fri May 08, 2015

Keywords: Nonlinear Dynamics and Chaos

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Clustering of inertial particles in compressible chaotic flows (2015)

Vicente Pérez-Muñuzuri

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-09

Description: Author(s): Vicente Pérez-Muñuzuri Clustering of inertial particles is analyzed in chaotic compressible flows. A simplified dynamical model for the motion of inertial particles in a compressible flow has been derived. Clustering enhancement has been observed for intermediate Stokes times and characterized in terms of the number of pa... [Phys. Rev. E 91, 052906] Published Fri May 08, 2015

Keywords: Nonlinear Dynamics and Chaos

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Farey sequence in the appearance of subharmonic Shapiro steps (2015)

Jovan Odavić, Petar Mali, and Jasmina Tekić

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-09

Description: Author(s): Jovan Odavić, Petar Mali, and Jasmina Tekić The largest Lyapunov exponent has been examined in the dynamical-mode locking phenomena of the ac+dc driven dissipative Frenkel-Kontorova model with deformable substrate potential. Due to deformation, large fractional and higher order subharmonic steps appear in the response function of the system. ... [Phys. Rev. E 91, 052904] Published Fri May 08, 2015

Keywords: Nonlinear Dynamics and Chaos

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Optimal model-free prediction from multivariate time series (2015)

Jakob Runge, Reik V. Donner, and Jürgen Kurths

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-15

Description: Author(s): Jakob Runge, Reik V. Donner, and Jürgen Kurths Forecasting a time series from multivariate predictors constitutes a challenging problem, especially using model-free approaches. Most techniques, such as nearest-neighbor prediction, quickly suffer from the curse of dimensionality and overfitting for more than a few predictors which has limited the... [Phys. Rev. E 91, 052909] Published Wed May 13, 2015

Keywords: Nonlinear Dynamics and Chaos

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Quantum-classical transition and quantum activation of ratchet currents in the parameter space (2015)

M. W. Beims, M. Schlesinger, C. Manchein, A. Celestino, A. Pernice, and W. T. Strunz

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-15

Description: Author(s): M. W. Beims, M. Schlesinger, C. Manchein, A. Celestino, A. Pernice, and W. T. Strunz The quantum ratchet current is studied in the parameter space of the dissipative kicked rotor model coupled to a zero-temperature quantum environment. We show that vacuum fluctuations blur the generic isoperiodic stable structures found in the classical case. Such structures tend to survive when a m... [Phys. Rev. E 91, 052908] Published Wed May 13, 2015

Keywords: Nonlinear Dynamics and Chaos

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Exceptional points in coupled dissipative dynamical systems (2015)

Jung-Wan Ryu, Woo-Sik Son, Dong-Uk Hwang, Soo-Young Lee, and Sang Wook Kim

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-15

Description: Author(s): Jung-Wan Ryu, Woo-Sik Son, Dong-Uk Hwang, Soo-Young Lee, and Sang Wook Kim We study the transient behavior in coupled dissipative dynamical systems based on the linear analysis around the steady state. We find that the transient time is minimized at a specific set of system parameters and show that at this parameter set, two eigenvalues and two eigenvectors of the Jacobian... [Phys. Rev. E 91, 052910] Published Wed May 13, 2015

Keywords: Nonlinear Dynamics and Chaos

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Equivalence of phase-oscillator and integrate-and-fire models (2015)

Antonio Politi and Michael Rosenblum

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-06

Description: Author(s): Antonio Politi and Michael Rosenblum A quantitative comparison of various classes of oscillators (integrate-and-fire, Winfree, and Kuramoto-Daido type) is performed in the weak-coupling limit for a fully connected network of identical units. An almost perfect agreement is found, with only tiny differences among the models. We also show... [Phys. Rev. E 91, 042916] Published Wed Apr 29, 2015

Keywords: Nonlinear Dynamics and Chaos

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Geometry of the edge of chaos in a low-dimensional turbulent shear flow model (2015)

Madhura Joglekar, Ulrike Feudel, and James A. Yorke

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-08

Description: Author(s): Madhura Joglekar, Ulrike Feudel, and James A. Yorke We investigate the geometry of the edge of chaos for a nine-dimensional sinusoidal shear flow model and show how the shape of the edge of chaos changes with increasing Reynolds number. Furthermore, we numerically compute the scaling of the minimum perturbation required to drive the laminar attractin... [Phys. Rev. E 91, 052903] Published Thu May 07, 2015

Keywords: Nonlinear Dynamics and Chaos

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Oscillator death induced by amplitude-dependent coupling in repulsively coupled oscillators (2015)

Weiqing Liu, Guibao Xiao, Yun Zhu, Meng Zhan, Jinghua Xiao, and Jürgen Kurths

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-08

Description: Author(s): Weiqing Liu, Guibao Xiao, Yun Zhu, Meng Zhan, Jinghua Xiao, and Jürgen Kurths The effects of amplitude-dependent coupling on oscillator death (OD) are investigated for two repulsively coupled Lorenz oscillators. Based on numerical simulations, it is shown that as constraint strengths on the amplitude-dependent coupling change, an oscillatory state may undergo a transition to ... [Phys. Rev. E 91, 052902] Published Thu May 07, 2015

Keywords: Nonlinear Dynamics and Chaos

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Nonlinear dynamics of the rock-paper-scissors game with mutations (2015)

Danielle F. P. Toupo and Steven H. Strogatz

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-05-13

Description: Author(s): Danielle F. P. Toupo and Steven H. Strogatz We analyze the replicator-mutator equations for the rock-paper-scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation among all the species. Our main result is that... [Phys. Rev. E 91, 052907] Published Mon May 11, 2015

Keywords: Nonlinear Dynamics and Chaos

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Relaxation of isolated quantum systems beyond chaos (2015)

Ignacio García-Mata, Augusto J. Roncaglia, and Diego A. Wisniacki

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-01-24

Description: Author(s): Ignacio García-Mata, Augusto J. Roncaglia, and Diego A. Wisniacki In classical statistical mechanics there is a clear correlation between relaxation to equilibrium and chaos. In contrast, for isolated quantum systems this relation is—to say the least—fuzzy. In this work we try to unveil the intricate relation between the relaxation process and the transition from ... [Phys. Rev. E 91, 010902] Published Fri Jan 23, 2015

Keywords: Nonlinear Dynamics and Chaos

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Controlling chaos using a system of harmonic oscillators (2015)

Ali Azimi Olyaei and Christine Wu

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-01-24

Description: Author(s): Ali Azimi Olyaei and Christine Wu An effective method of controlling chaos is proposed. The control mechanism of the proposed method can be interpreted as the synchronization of a chaotic system with a system of harmonic oscillators. It is a practically noninvasive method that does not change the solution of dynamical systems, but s... [Phys. Rev. E 91, 012920] Published Fri Jan 23, 2015

Keywords: Nonlinear Dynamics and Chaos

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Origin of finite pulse trains: Homoclinic snaking in excitable media (2015)

Arik Yochelis, Edgar Knobloch, and Michael H. Köpf

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-03-26

Description: Author(s): Arik Yochelis, Edgar Knobloch, and Michael H. Köpf Many physical, chemical, and biological systems exhibit traveling waves as a result of either an oscillatory instability or excitability. In the latter case a large multiplicity of stable spatially localized wavetrains consisting of different numbers of traveling pulses may be present. The existence... [Phys. Rev. E 91, 032924] Published Wed Mar 25, 2015

Keywords: Nonlinear Dynamics and Chaos

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Initial-value representation of the semiclassical zeta function (2015)

Haim Barak and Kenneth G. Kay

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-01-17

Description: Author(s): Haim Barak and Kenneth G. Kay This work casts the semiclassical zeta function in a form suitable for practical calculations of energy levels for rather general systems. To accomplish this, the zeta function is approximated by applying an initial-value representation (IVR) treatment to the traces of the transfer matrix that appea... [Phys. Rev. E 91, 012912] Published Fri Jan 16, 2015

Keywords: Nonlinear Dynamics and Chaos

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Fermi resonance in optical microcavities (2015)

Chang-Hwan Yi, Hyeon-Hye Yu, Ji-Won Lee, and Chil-Min Kim

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-04-09

Description: Author(s): Chang-Hwan Yi, Hyeon-Hye Yu, Ji-Won Lee, and Chil-Min Kim Fermi resonance is a phenomenon of quantum mechanical superposition, which most often occurs between normal and overtone modes in molecular systems that are nearly coincident in energy. We find that scarred resonances in deformed dielectric microcavities are the very phenomenon of Fermi resonance, t... [Phys. Rev. E 91, 042903] Published Wed Apr 08, 2015

Keywords: Nonlinear Dynamics and Chaos

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Statistical properties of the localization measure in a finite-dimensional model of the quantum kicked rotator (2015)

Thanos Manos and Marko Robnik

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-04-10

Description: Author(s): Thanos Manos and Marko Robnik We study the quantum kicked rotator in the classically fully chaotic regime K=10 and for various values of the quantum parameter k using Izrailev's N-dimensional model for various N≤3000, which in the limit N→∞ tends to the exact quantized kicked rotator. By numerically calculating the eigenfunction... [Phys. Rev. E 91, 042904] Published Thu Apr 09, 2015

Keywords: Nonlinear Dynamics and Chaos

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Local quantum ergodic conjecture (2015)

Eduardo Zambrano, W. P. Karel Zapfe, and Alfredo M. Ozorio de Almeida

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-04-22

Description: Author(s): Eduardo Zambrano, W. P. Karel Zapfe, and Alfredo M. Ozorio de Almeida The quantum ergodic conjecture equates the Wigner function for a typical eigenstate of a classically chaotic Hamiltonian with a δ function on the energy shell. This ensures the evaluation of classical ergodic expectations of simple observables, in agreement with Shnirelman's theorem, but this putati... [Phys. Rev. E 91, 042911] Published Tue Apr 21, 2015

Keywords: Nonlinear Dynamics and Chaos

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Coexistence of intermittencies in the neuronal network of the epileptic brain (2016)

Alexey A. Koronovskii, Alexander E. Hramov, Vadim V. Grubov, Olga I. Moskalenko, Evgenia Sitnikova, and Alexey N. Pavlov

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-25

Description: Author(s): Alexey A. Koronovskii, Alexander E. Hramov, Vadim V. Grubov, Olga I. Moskalenko, Evgenia Sitnikova, and Alexey N. Pavlov Intermittent behavior occurs widely in nature. At present, several types of intermittencies are known and well-studied. However, consideration of intermittency has usually been limited to the analysis of cases when only one certain type of intermittency takes place. In this paper, we report on the t… [Phys. Rev. E 93, 032220] Published Wed Mar 23, 2016

Keywords: Nonlinear Dynamics and Chaos

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Signal prediction by anticipatory relaxation dynamics (2016)

Henning U. Voss

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-31

Description: Author(s): Henning U. Voss Real-time prediction of signals is a task often encountered in control problems as well as by living systems. Here, a parsimonious prediction approach based on the coupling of a linear relaxation-delay system to a smooth, stationary signal is described. The resulting anticipatory relaxation dynamics… [Phys. Rev. E 93, 030201(R)] Published Wed Mar 30, 2016

Keywords: Nonlinear Dynamics and Chaos

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Linear stability and the Braess paradox in coupled-oscillator networks and electric power grids (2016)

Tommaso Coletta and Philippe Jacquod

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-04-01

Description: Author(s): Tommaso Coletta and Philippe Jacquod We investigate the influence that adding a new coupling has on the linear stability of the synchronous state in coupled-oscillator networks. Using a simple model, we show that, depending on its location, the new coupling can lead to enhanced or reduced stability. We extend these results to electric … [Phys. Rev. E 93, 032222] Published Thu Mar 31, 2016

Keywords: Nonlinear Dynamics and Chaos

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Chaotic properties of spin lattices near second-order phase transitions (2015)

A. S. de Wijn, B. Hess, and B. V. Fine

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2015-12-31

Description: Author(s): A. S. de Wijn, B. Hess, and B. V. Fine We perform a numerical investigation of the Lyapunov spectra of chaotic dynamics in lattices of classical spins in the vicinity of second-order ferromagnetic and antiferromagnetic phase transitions. On the basis of this investigation, we identify a characteristic of the shape of the Lyapunov spectra… [Phys. Rev. E 92, 062929] Published Wed Dec 30, 2015

Keywords: Nonlinear Dynamics and Chaos

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Resonant torus-assisted tunneling (2016)

Chang-Hwan Yi, Hyeon-Hye Yu, and Chil-Min Kim

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-01-05

Description: Author(s): Chang-Hwan Yi, Hyeon-Hye Yu, and Chil-Min Kim We report a new type of dynamical tunneling, which is mediated by a resonant torus, i.e., a nonisolated periodic orbit. To elucidate the phenomenon, we take an open elliptic cavity and show that a pair of resonances localized on two classically disconnected tori tunnel through a resonant torus when … [Phys. Rev. E 93, 012201] Published Mon Jan 04, 2016

Keywords: Nonlinear Dynamics and Chaos

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Chaos in the honeycomb optical-lattice unit cell (2016)

Max D. Porter and L. E. Reichl

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-01-08

Description: Author(s): Max D. Porter and L. E. Reichl Natural and artificial honeycomb lattices are of great interest because the band structure of these lattices, if properly constructed, contains a Dirac point. Such lattices occur naturally in the form of graphene and carbon nanotubes. They have been created in the laboratory in the form of semicondu… [Phys. Rev. E 93, 012204] Published Thu Jan 07, 2016

Keywords: Nonlinear Dynamics and Chaos

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Infinite hierarchy of nonlinear Schrödinger equations and their solutions (2016)

A. Ankiewicz, D. J. Kedziora, A. Chowdury, U. Bandelow, and N. Akhmediev

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-01-13

Description: Author(s): A. Ankiewicz, D. J. Kedziora, A. Chowdury, U. Bandelow, and N. Akhmediev We study the infinite integrable nonlinear Schrödinger equation hierarchy beyond the Lakshmanan-Porsezian-Daniel equation which is a particular (fourth-order) case of the hierarchy. In particular, we present the generalized Lax pair and generalized soliton solutions, plane wave solutions, Akhmediev ... [Phys. Rev. E 93, 012206] Published Mon Jan 11, 2016

Keywords: Nonlinear Dynamics and Chaos

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Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory (2016)

Sven Gnutzmann and Daniel Waltner

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-05

Description: Author(s): Sven Gnutzmann and Daniel Waltner In this paper we present a general framework for solving the stationary nonlinear Schrödinger equation (NLSE) on a network of one-dimensional wires modeled by a metric graph with suitable matching conditions at the vertices. A formal solution is given that expresses the wave function and its derivat… [Phys. Rev. E 93, 032204] Published Fri Mar 04, 2016

Keywords: Nonlinear Dynamics and Chaos

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Complexity and bandwidth enhancement in unidirectionally coupled semiconductor lasers with time-delayed optical feedback (2016)

Kazutaka Kanno, Atsushi Uchida, and Masatoshi Bunsen

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-08

Description: Author(s): Kazutaka Kanno, Atsushi Uchida, and Masatoshi Bunsen We numerically investigate the frequency bandwidth and the autocorrelation characteristics of chaotic temporal wave forms in unidirectionally coupled semiconductor lasers with time-delayed optical feedback. We evaluate the complexity of the chaotic temporal wave forms by using Lyapunov exponents. We… [Phys. Rev. E 93, 032206] Published Mon Mar 07, 2016

Keywords: Nonlinear Dynamics and Chaos

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Noise-enhanced coupling between two oscillators with long-term plasticity (2016)

Leonhard Lücken, Oleksandr V. Popovych, Peter A. Tass, and Serhiy Yanchuk

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-08

Description: Author(s): Leonhard Lücken, Oleksandr V. Popovych, Peter A. Tass, and Serhiy Yanchuk The authors address the plasticity of the coupling between neurons subjected to stochastic excitations. By reducing the problem to a system of two neurons, they show the onset of new states that do not appear in deterministic models. Interestingly, they find that noise could act to stabilize the coupling and enhance synchronization. [Phys. Rev. E 93, 032210] Published Tue Mar 08, 2016

Keywords: Nonlinear Dynamics and Chaos

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Statistics of Lyapunov exponent spectrum in randomly coupled Kuramoto oscillators (2016)

Soumen K. Patra and Anandamohan Ghosh

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-08

Description: Author(s): Soumen K. Patra and Anandamohan Ghosh Characterization of spatiotemporal dynamics of coupled oscillatory systems can be done by computing the Lyapunov exponents. We study the spatiotemporal dynamics of randomly coupled network of Kuramoto oscillators and find that the spectral statistics obtained from the Lyapunov exponent spectrum show… [Phys. Rev. E 93, 032208] Published Mon Mar 07, 2016

Keywords: Nonlinear Dynamics and Chaos

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Marginal chimera state at cross-frequency locking of pulse-coupled neural networks (2016)

M. I. Bolotov, G. V. Osipov, and A. Pikovsky

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-03

Description: Author(s): M. I. Bolotov, G. V. Osipov, and A. Pikovsky We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate frequencies or become frequency locked. In the observed 2:1 locking state of the mean fields, individual neurons in one popu… [Phys. Rev. E 93, 032202] Published Wed Mar 02, 2016

Keywords: Nonlinear Dynamics and Chaos

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Parametric spatiotemporal oscillation in reaction-diffusion systems (2016)

Shyamolina Ghosh and Deb Shankar Ray

American Physical Society (APS)

In: Physical Review E

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Publication Date: 2016-03-08

Description: Author(s): Shyamolina Ghosh and Deb Shankar Ray We consider a reaction-diffusion system in a homogeneous stable steady state. On perturbation by a time-dependent sinusoidal forcing of a suitable scaling parameter the system exhibits parametric spatiotemporal instability beyond a critical threshold frequency. We have formulated a general scheme to… [Phys. Rev. E 93, 032209] Published Mon Mar 07, 2016

Keywords: Nonlinear Dynamics and Chaos

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