Simple and complex chimera states in a nonlinearly coupled oscillatory medium
- We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. In terms of a local coarse-grained complex order parameter, the problem of finding stationary rotating nonhomogeneous solutions reduces to a third-order ordinary differential equation. This allows finding chimera-type and other inhomogeneous states as periodic orbits of this equation. Stability calculations reveal that only some of these states are stable. We demonstrate that an oscillatory instability leads to a breathing chimera, for which the synchronous domain splits into subdomains with different mean frequencies. Further development of instability leads to turbulent chimeras. Published by AIP Publishing.
| Author details: | Maxim I. BolotovORCiD, Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1063/1.5011678 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/31906664 |
| Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2018/04/02 |
| Publication year: | 2018 |
| Release date: | 2021/12/16 |
| Volume: | 28 |
| Issue: | 4 |
| Number of pages: | 9 |
| Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534, 14-12-00811]; German-Russian Interdisciplinary Science Center [G-RISC M-2017a-4] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
