Complex chimera states in a nonlinearly coupled oscillatory medium
- We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. Stationary inhomogeneous solutions of the Ott-Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. Stability calculations reveal that only some of these states are stable. The direct numerical simulation has shown that these structures under certain conditions are transformed to breathing chimera regimes because of the development of instability. Further development of instability leads to turbulent chimeras.
| Author details: | Maxim BolotovORCiD, Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1109/DCNAIR.2018.8589210 |
| ISBN: | 978-1-5386-5818-5 |
| Title of parent work (English): | 2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR) |
| Publisher: | IEEE |
| Place of publishing: | New York |
| Publication type: | Other |
| Language: | English |
| Date of first publication: | 2018/12/27 |
| Publication year: | 2018 |
| Release date: | 2022/02/28 |
| Tag: | chimera state; nonlinear dynamics; nonlocal coupling; partial synchronization; phase lag; phase oscillator; synchronization |
| Number of pages: | 4 |
| First page: | 17 |
| Last Page: | 20 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
