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.
Author details: | Grigory Bordyugov, Arkadij PikovskijORCiDGND, Michael RosenblumORCiDGND |
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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 |