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For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Anna Zakharova , Marie Kapeller , Eckehard Schöll

We find chimera states with respect to amplitude dynamics in a network of Stuart-Landau oscillators. These partially coherent and partially incoherent spatio-temporal patterns appear due to the interplay of nonlocal network topology and…

Adaptation and Self-Organizing Systems · Physics 2016-08-02 Anna Zakharova , Marie Kapeller , Eckehard Schöll

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…

Pattern Formation and Solitons · Physics 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

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…

Pattern Formation and Solitons · Physics 2015-06-11 Lennart Schmidt , Katharina Krischer

We report a novel spatiotemporal state, namely the chimera-like incongruous coexistence of {\it synchronized oscillation} and {\it stable steady state} (CSOD) in a realistic ecological network of nonlocally coupled oscillators. Unlike the…

Chaotic Dynamics · Physics 2015-06-09 Partha Sharathi Dutta , Tanmoy Banerjee

Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and incoherence. We discuss the appearance of the chimera…

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…

Chaotic Dynamics · Physics 2015-12-31 Weijie Lin , Huiyan Li , Heping Ying , Xingang Wang

The revival of oscillation and maintaining rhythmicity in a network of coupled oscillators offer an open challenge to researchers as the cessation of oscillation often leads to a fatal system degradation and an irrecoverable malfunctioning…

Chaotic Dynamics · Physics 2015-12-09 Debarati Ghosh , Tanmoy Banerjee , Jürgen Kurths

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…

Pattern Formation and Solitons · Physics 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

Chimera states, representing a spontaneous break-up of a population of identical oscillators that are identically coupled, into sub-populations displaying synchronized and desynchronized behavior, have traditionally been found to exist in…

Chaotic Dynamics · Physics 2015-06-18 Gautam C Sethia , Abhijit Sen

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…

Chaotic Dynamics · Physics 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of…

Chaotic Dynamics · Physics 2023-04-17 Joseph D. Hart , Kanika Bansal , Thomas E. Murphy , Rajarshi Roy

We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble of identical nonlinear oscillators interacting directly through local coupling and indirectly through dynamic…

Adaptation and Self-Organizing Systems · Physics 2020-06-15 Umesh Kumar Verma , G. Ambika

In this paper we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through {\it local}, synaptic {\it gradient} coupling. We discover a new chimera pattern, namely the {\it imperfect traveling…

Chaotic Dynamics · Physics 2016-07-20 Bidesh K. Bera , Dibakar Ghosh , Tanmoy Banerjee

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…

Adaptation and Self-Organizing Systems · Physics 2018-02-07 Srilena Kundu , Soumen Majhi , Bidesh K. Bera , Dibakar Ghosh , 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…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

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…

Adaptation and Self-Organizing Systems · Physics 2017-05-04 Qionglin Dai , Mengya Zhang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Erik A. Martens

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous…

Chaotic Dynamics · Physics 2015-06-22 Andrea Vüllings , Johanne Hizanidis , Iryna Omelchenko , Philipp Hövel

Frequency plays a crucial role in exhibiting various collective dynamics in the coexisting co- and counter-rotating (CR) systems. To illustrate the impact of CR frequencies, we consider a network of non-identical and globally coupled…

Adaptation and Self-Organizing Systems · Physics 2022-04-06 K. Sathiyadevi , V. K. Chandrasekar , M. Lakshmanan
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