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We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Ernest Montbrió , Jürgen Kurths , Bernd Blasius

This paper deals with the chaotic oscillator synchronization. A new approach to detect the synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series…

Chaotic Dynamics · Physics 2009-11-11 Alexander E. Hramov , Alexey A. Koronovskii , Yurij I. Levin

We investigate the response of an open chain of bidirectionally coupled chaotic homoclinic systems to external periodic stimuli. When one end of the chain is driven by a periodic signal, the system propagates a phase synchronization state…

Pattern Formation and Solitons · Physics 2009-11-10 I. Leyva , E. Allaria , S. Boccaletti , F. T. Arecchi

We investigate the characteristics of temporal phase locking states observed in the route to phase synchronization. It is found that before phase synchronization there is a periodic phase synchronization state characterized by periodic…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Dae-Sic Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article…

Chaotic Dynamics · Physics 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

The phase ordering dynamics of coupled chaotic bistable maps on lattices with defects is investigated. The statistical properties of the system are characterized by means of the average normalized size of spatial domains of equivalent spin…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Echeverria , K. Tucci , M. G. Cosenza

Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers. The present paper uses ideas from generalized…

Chaotic Dynamics · Physics 2009-11-11 Alexandra S. Landsman , Ira B. Schwartz

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

We investigate the processes of synchronization and phase ordering in a system of globally coupled maps possessing bistable, chaotic local dynamics. The stability boundaries of the synchronized states are determined on the space of…

Chaotic Dynamics · Physics 2014-02-21 O. Alvarez-Llamoza , M. G. Cosenza

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

We numerically investigate the dynamics of a closed chain of unidirectionally coupled oscillators in a regime of homoclinic chaos. The emerging synchronization regimes show analogies with the experimental behavior of a single chaotic laser…

Pattern Formation and Solitons · Physics 2007-05-23 I. Leyva , E. Allaria , S. Boccaletti , F. T. Arecchi

The phase-space of a simple synchronization model is thoroughly investigated. The model considers two-mode stochastic oscillators, coupled through a pulse-like interaction controlled by simple optimization rules. A complex phase space is…

Adaptation and Self-Organizing Systems · Physics 2020-12-03 Szabolcs Horvát , Zoltán Néda

The synchronization of the motion of microresonators has attracted considerable attention. Here we present theoretical methods to synchronize the chaotic motion of two optical cavity modes in an optomechanical system, in which one of the…

Quantum Physics · Physics 2018-02-12 Nan Yang , Adam Miranowicz , Yong-Chun Liu , Keyu Xia , Franco Nori

Synchronization among globally coupled, chaotic map lattices can be related to stable periodic windows in isolated chaotic maps. This relation provides a simple predictive tool for the understanding of complicated behavior in coupled…

chao-dyn · Physics 2009-10-22 Troy Shinbrot

A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronisation and desynchronisation co-exist. The…

Biological Physics · Physics 2013-06-07 Murray Shanahan

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

Chaotic Dynamics · Physics 2009-11-11 Bin Ao , Zhigang Zheng

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We consider a line of three mutually coupled lasers with time delays and study chaotic synchronization of the outer lasers. Two different systems are presented: optoelectronically coupled semiconductor lasers and optically coupled fiber…

Chaotic Dynamics · Physics 2007-11-07 Alexandra S. Landsman , Leah B. Shaw , Ira B. Schwartz

We report theoretical and experimental evidence of chaotic pulses with excitable-like properties in an opto-radiofrequency oscillator based on a self-injected dual-frequency laser. The chaotic attractor involved in the dynamics produces…