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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 an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking…

斑图形成与孤子 · 物理学 2015-06-11 Lennart Schmidt , Katharina Krischer

Chimera states, which consist of coexisting domains of spatially coherent and incoherent dynamics, have been widely found in nonlocally coupled oscillatory systems. We demonstrate for the first time that chimera states can emerge from…

适应与自组织系统 · 物理学 2017-05-04 Qionglin Dai , Mengya Zhang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

混沌动力学 · 物理学 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

斑图形成与孤子 · 物理学 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

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

Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled biochemical oscillators. These systems are known to exhibit…

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

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

We investigate the influence of time-delayed coupling in a ring network of non-locally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We…

适应与自组织系统 · 物理学 2017-05-03 Aleksandar Gjurchinovski , Eckehard Schöll , Anna Zakharova

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

Chimera state is defined as a mixed type of collective state in which synchronized and desynchronized subpopulations of a network of coupled oscillators coexist and the appearance of such anomalous behavior has strong connection to diverse…

适应与自组织系统 · 物理学 2018-02-07 Srilena Kundu , Soumen Majhi , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

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

We demonstrate emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in locally coupled oscillator lattices. In this regime some part of the ensemble forms a…

混沌动力学 · 物理学 2015-06-18 Azamat Yeldesbay , Arkady Pikovsky , Michael Rosenblum

Nonlocally coupled oscillator systems can exhibit an exotic spatiotemporal structure called chimera, where the system splits into two groups of oscillators with sharp boundaries, one of which is phase-locked and the other is…

斑图形成与孤子 · 物理学 2007-05-23 Yoji Kawamura

Non-locally coupled oscillators with a phase lag exhibit various non-trivial spatio-temporal patterns such as the chimera states and the multi-twisted states. We numerically study large-scale spatio-temporal patterns in a ring of…

适应与自组织系统 · 物理学 2021-12-01 Bojun Li , Nariya Uchida

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

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric…

混沌动力学 · 物理学 2015-02-19 Mark J. Panaggio , Daniel M. Abrams

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

Chimera states in systems of nonlocally coupled oscillators, i.e., self-organized coexistence of coherent and incoherent oscillator populations, have attracted much attention. In this study, we consider the effect of frequency…

适应与自组织系统 · 物理学 2025-02-06 Petar Mircheski , Hiroya Nakao

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

混沌动力学 · 物理学 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan