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Related papers: Chimeras in networks of planar oscillators

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Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronise with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical…

Chaotic Dynamics · Physics 2009-11-13 Carlo R. Laing

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

Chimeras occur in networks of two coupled populations of oscillators when the oscillators in one population synchronise while those in the other are asynchronous. We consider chimeras of this form in networks of planar oscillators for which…

Dynamical Systems · Mathematics 2022-02-23 Carlo R. Laing

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…

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

Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized sub-populations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain…

Chaotic Dynamics · Physics 2015-04-07 Daniel M. Abrams , Renato E. Mirollo , Steven H. Strogatz , Daniel A. Wiley

We consider star networks of chaotic oscillators, with all end-nodes connected only to the central hub node, under diffusive coupling, conjugate coupling and mean-field type coupling. We observe the existence of chimeras in the end-nodes,…

Chaotic Dynamics · Physics 2016-09-21 Chandrakala Meena , K. Murali , Sudeshna Sinha

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…

Chaotic Dynamics · Physics 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony or…

Adaptation and Self-Organizing Systems · Physics 2013-07-29 Erik Andreas Martens , Shashi Thutupalli , Antoine Fourrière , Oskar Hallatschek

Chimera states in spatially extended networks of oscillators have some oscillators synchronised while the remainder are asynchronous. These states have primarily been studied in networks with nonlocal coupling, and more recently in networks…

Pattern Formation and Solitons · Physics 2015-12-09 Carlo R. Laing

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…

Chaotic Dynamics · Physics 2015-02-19 Mark J. Panaggio , Daniel M. Abrams

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

We demonstrate that chimera behavior can be observed in small networks consisting of three identical oscillators, with mutual all-to-all coupling. Three different types of chimeras, characterized by the coexistence of two coherent…

Chaotic Dynamics · Physics 2017-02-01 Yuri Maistrenko , Serhiy Brezetsky , Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak

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…

Adaptation and Self-Organizing Systems · Physics 2018-08-10 Qionglin Dai , Kai Yang , Hongyan Cheng , Haihong Li , Fagen Xie , Junzhong Yang

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 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…

Adaptation and Self-Organizing Systems · Physics 2012-02-14 Erik Andreas Martens

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…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Hongyan Cheng , Qionglin Dai , Nianping Wu , Yuee Feng , Haihong Li , Junzhong Yang

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

More than a decade ago, a surprising coexistence of synchronous and asynchronous behavior called the chimera state was discovered in networks of nonlocally coupled identical phase oscillators. In later years, chimeras were found to occur in…

Chaotic Dynamics · Physics 2015-06-17 Tassos Bountis , Vasileios G. Kanas , Johanne Hizanidis , Anastasios Bezerianos

We report the existence of a chimera state in an assembly of identical nonlinear oscillators that are globally linked to each other in a simple planar cross-coupled form. The rotational symmetry breaking of the coupling term appears to be…

Chaotic Dynamics · Physics 2015-06-22 C. R. Hens , A. Mishra , P. K. Roy , A. Sen , S. K. Dana
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