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Self-emerging and turbulent chimeras in oscillator chains

  • 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 bifurcation from a homogeneous state. We develop a theory of chimera based on the Ott-Antonsen equations for the local complex order parameter. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to phase turbulence with persistent patches of synchrony.

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Author details:Grigory Bordyugov, Arkadij PikovskijORCiDGND, Michael RosenblumORCiDGND
URL:http://pre.aps.org/
DOI:https://doi.org/10.1103/Physreve.82.035205
ISSN:1539-3755
Publication type:Article
Language:English
Year of first publication:2010
Publication year:2010
Release date:2017/03/25
Source:Physical review E. - ISSN 1539-3755. - 82 (2010), 3, Art- 035205
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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