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Systems of nonlocally coupled oscillators can exhibit complex spatio-temporal patterns, called chimera states, which consist of coexisting domains of spatially coherent (synchronized) and incoherent dynamics. We report on a novel form of…

适应与自组织系统 · 物理学 2018-02-02 Iryna Omelchenko , Oleh E. Omel'chenko , Philipp Hövel , Eckehard Schöll

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · 物理学 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

混沌动力学 · 物理学 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

We study synchronization of locally coupled noisy phase oscillators which move diffusively in a one-dimensional ring. Together with the disordered and the globally synchronized states, the system also exhibits several wave-like states which…

生物物理 · 物理学 2010-09-22 Fernando Peruani , Ernesto M. Nicola , Luis G. Morelli

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

统计力学 · 物理学 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These…

适应与自组织系统 · 物理学 2018-01-29 Gabriela Petrungaro , Koichiro Uriu , Luis G. Morelli

Chimera states, which consist of coexisting domains of coherent and incoherent parts, have been observed in a variety of systems. Most of previous works on chimera states have taken into account specific form of interaction between…

适应与自组织系统 · 物理学 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled dynamical units, prevail in a variety of systems. However, the interaction structures among oscillators are static in most of studies on chimera state. In this…

适应与自组织系统 · 物理学 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

The simplest network of coupled phase-oscillators exhibiting chimera states is given by two populations with disparate intra- and inter-population coupling strengths. We explore the effects of heterogeneous coupling phase-lags between the…

适应与自组织系统 · 物理学 2016-10-12 Erik Andreas Martens , Christian Bick , Mark J Panaggio

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

无序系统与神经网络 · 物理学 2009-10-31 Esteban Moro , Angel Sanchez

A system of two coupled ensembles of phase oscillators can follow different routes to inter-ensemble synchronization. Following a short report of our preliminary results [Phys. Rev. E. {\bf 78}, 025201(R) (2008)], we present a more detailed…

适应与自组织系统 · 物理学 2009-11-13 Jane H. Sheeba , V. K. Chandrasekar , Aneta Stefanovska , Peter V. E. McClintock

We report the emergence of a collective dynamical state, namely phase-flip chimera, from an en- semble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are…

适应与自组织系统 · 物理学 2016-08-03 V. K. Chandrasekar , R. Gopal , D. V. Senthilkumar , M. Lakshmanan

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled identical dynamical units, prevail in a variety of systems. Here, we consider a population of nonlocally coupled bicomponent phase oscillators in which…

适应与自组织系统 · 物理学 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

适应与自组织系统 · 物理学 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

The onset of collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied for phase dynamical models with arbitrary coupling; the effect of a stochastic temporal variation in the…

patt-sol · 物理学 2008-02-03 John David Crawford , K. T. R. Davies

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

统计力学 · 物理学 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

Systems of mobile physical entities exchanging information with their neighborhood can be found in many different situations. The understanding of their emergent cooperative behaviour has become an important issue across disciplines,…

软凝聚态物质 · 物理学 2017-03-15 Demian Levis , Ignacio Pagonabarraga , Albert Diaz-Guilera

Chimera states consisting of domains of coherently and incoherently oscillating nonlocally-coupled phase oscillators in systems with spatial inhomogeneity are studied. The inhomogeneity is introduced through the dependence of the oscillator…

斑图形成与孤子 · 物理学 2015-06-23 Jianbo Xie , Hsien-Ching Kao , Edgar Knobloch

We study the phase synchronization between collective rhythms of fully locked oscillator groups. For weakly interacting groups of two oscillators with global sinusoidal coupling, we analytically derive the collective phase coupling…

适应与自组织系统 · 物理学 2014-05-01 Yoji Kawamura

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

混沌动力学 · 物理学 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel
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