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We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by…

斑图形成与孤子 · 物理学 2009-11-13 Gautam C. Sethia , Abhijit Sen , Fatihcan M. Atay

The amplitude-dependent frequency of the oscillations, termed \emph{nonisochronicity}, is one of the essential characteristics of nonlinear oscillators. In this paper, the dynamics of the Rossler oscillator in the presence of…

混沌动力学 · 物理学 2021-06-02 C. Ramya , R. Gopal , R. Suresh , V. K. Chandrasekar

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…

统计力学 · 物理学 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a…

适应与自组织系统 · 物理学 2021-10-27 Sindre W. Haugland , Anton Tosolini , Katharina Krischer

The condensation transition, leading to complete mutual synchronization in large populations of globally coupled chaotic Roessler oscillators, is investigated. Statistical properties of this transition and the cluster structure of partially…

adap-org · 物理学 2009-10-30 D. H. Zanette , A. S. Mikhailov

We report the first experimental evidence of a successful synchronization of spatiotemporal chaos. The experiments were performed on two unidirectionally coupled, nonlinear-optical systems of single-feedback type. The synchronization was…

斑图形成与孤子 · 物理学 2009-11-10 R. Neubecker , B. Guetlich

Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or…

斑图形成与孤子 · 物理学 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

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…

混沌动力学 · 物理学 2009-11-11 D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We study a Kuramoto-like model of coupled identical phase oscillators on a network, where attractive and repulsive couplings are balanced dynamically due to nonlinearity in interaction. Under a week force, an oscillator tends to follow the…

适应与自组织系统 · 物理学 2015-01-28 Celso Freitas , Elbert Macau , Arkady Pikovsky

Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

We demonstrate the deterministic coherence and anti-coherence resonance phenomena in two coupled identical chaotic Lorenz oscillators. Both effects are found to occur simultaneously when varying the coupling strength. In particular, the…

混沌动力学 · 物理学 2026-03-11 Pavel S. Komkov , Ol'ga I. Moskalenko , Vladimir V. Semenov , Sergei V. Grishin

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

适应与自组织系统 · 物理学 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

Synchronization dynamics of mutually coupled chaotic semiconductor lasers are investigated experimentally and compared to identical synchronization of unidirectionally coupled lasers. Mutual coupling shows high quality synchronization in a…

混沌动力学 · 物理学 2009-11-11 Noam Gross , Wolfgang Kinzel , Ido Kanter , Michael Rosenbluh , Lev Khaykovich

Synchronization is a hallmark of collective behavior that emerges when nonlinear systems interact, spanning scales from mechanical oscillators to planetary orbits. As a universal phenomenon it underpins the study of complex systems and has…

量子物理 · 物理学 2025-11-20 Jiarui Liu , Qiming Wu , Joel E. Moore , Hartmut Haeffner , Christopher W. Wächtler

In this paper, a numerical study on the complete synchronization phenomenon exhibited by coupled forced negative conductance circuits is presented. The nonlinear system exhibiting two types of chaotic attractors is studied for complete…

混沌动力学 · 物理学 2017-02-27 G. Sivaganesh

In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with respect to the frequency of the switching. By applying an…

混沌动力学 · 物理学 2015-07-09 Mattia Frasca , Arturo Buscarino , Marco Branciforte , Luigi Fortuna , Julien Clinton Sprott

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

统计力学 · 物理学 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

混沌动力学 · 物理学 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

We investigate coupled identical phase oscillators with scale-free distribution of coupling strength. It is shown that partially locked states can occur due to the inhomogeneity in coupling and some properties of the coupling function.…

适应与自组织系统 · 物理学 2009-11-13 Tae-Wook Ko , Bard Ermentrout

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

最优化与控制 · 数学 2012-09-07 Florian Dörfler , Francesco Bullo