Chimeralike states in an ensemble of globally coupled oscillators

We demonstrate the emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in nonlocally coupled oscillator lattices. In this regime some part of the ensemble forms a regularly evolving cluster, while all other units irregularly...

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Bibliographic Details
Published in:Physical review letters 2014-04, Vol.112 (14), p.144103-144103, Article 144103
Main Authors: Yeldesbay, Azamat, Pikovsky, Arkady, Rosenblum, Michael
Format: Article
Language:English
Subjects:
Bistability
Clusters
Dynamical systems
Dynamics
Evolution
Feedback
Joining
Lattices
Models, Theoretical
Oscillators
Periodicity
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Summary:We demonstrate the emergence of a complex state in a homogeneous ensemble of globally coupled identical oscillators, reminiscent of chimera states in nonlocally coupled oscillator lattices. In this regime some part of the ensemble forms a regularly evolving cluster, while all other units irregularly oscillate and remain asynchronous. We argue that the chimera emerges because of effective bistability, which dynamically appears in the originally monostable system due to internal delayed feedback in individual units. Additionally, we present two examples of chimeras in bistable systems with frequency-dependent phase shift in the global coupling.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.112.144103