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Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these…

混沌动力学 · 物理学 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , 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

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical…

斑图形成与孤子 · 物理学 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or…

适应与自组织系统 · 物理学 2022-01-26 Malbor Asllani , Bram A. Siebert , Alex Arenas , James P. Gleeson

We investigate an array of identical phase oscillators non-locally coupled without time delay, and find that chimera state with two coherent clusters exists which is only reported in delay-coupled systems previously. Moreover, we find that…

混沌动力学 · 物理学 2015-05-30 Yun Zhu , Yuting Li , Mei Zhang , Junzhong Yang

The dynamics of two symmetrically coupled populations of rotators is studied for different values of the inertia. The system is characterized by different types of solutions, which all coexist with the fully synchronized state. At small…

无序系统与神经网络 · 物理学 2016-01-05 Simona Olmi

Chimera states have been recently found in a variety of different coupling schemes and geometries. In most cases, the underlying coupling structure is considered to be static, while many realistic systems display significant temporal…

适应与自组织系统 · 物理学 2015-06-23 Arturo Buscarino , Mattia Frasca , Lucia Valentina Gambuzza , Philipp Hovel

Chimeras are surprising yet important states in which domains of decoherent (asynchronous) and coherent (synchronous) oscillations co-exist. In this article, we report on the discovery of a new class of chimeras, called {\it mixed-amplitude…

斑图形成与孤子 · 物理学 2021-12-22 Tasso J. Kaper , Theodore Vo

We study a network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but more weakly to those in neighboring…

适应与自组织系统 · 物理学 2012-02-14 Erik Andreas Martens

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

About two decades ago it was discovered that systems of nonlocally coupled oscillators can exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions. Since then such patterns, called chimera states, have been…

适应与自组织系统 · 物理学 2022-01-11 Oleh Omel'chenko

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

We investigate the occurrence of collective dynamical states such as transient amplitude chimera, stable amplitude chimera and imperfect breathing chimera states in a \textit{locally coupled} network of Stuart-Landau oscillators. In an…

适应与自组织系统 · 物理学 2018-09-12 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

In globally coupled ensembles of identical oscillators so-called chimera states can be observed. The chimera state is a symmetry-broken regime, where a subset of oscillators forms a cluster, a synchronized population, while the rest of the…

混沌动力学 · 物理学 2019-07-16 Richard Janis Goldschmidt , Arkady Pikovsky , Antonio Politi

Since its discovery in 2002, the chimera state has frequently been described as a counter-intuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena…

斑图形成与孤子 · 物理学 2018-01-12 Tejas Kotwal , Xin Jiang , Daniel M. Abrams

We present results obtained for a network of four delay-coupled lasers modelled by Lang-Kobayashi-type equations. We find small chimera states consisting of a pair of synchronized lasers and two unsynchronized lasers. One class of these…

适应与自组织系统 · 物理学 2021-08-09 André Röhm , Fabian Böhm , Kathy Lüdge

In a recent study of chaos synchronization in symmetric complex networks [Pecora \textit{et al}., Nat. Commun. {\bf 5}, 4079 (2014)], it is found that stable synchronous clusters may coexist with many non-synchronous nodes in the…

混沌动力学 · 物理学 2015-12-31 Weijie Lin , Huiyan Li , Heping Ying , Xingang Wang

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillators (cyclic triple), tiny {\it chimera islands} arise in the…

混沌动力学 · 物理学 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual…

混沌动力学 · 物理学 2016-10-27 Saptarshi Ghosh , Sarika Jalan

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on…

适应与自组织系统 · 物理学 2018-04-24 Yusuke Suda , Koji Okuda