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.
| Verfasserangaben: | Maxim I. BolotovORCiD, Lev A. SmirnovORCiD, Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND |
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| DOI: | https://doi.org/10.1063/1.5011678 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/31906664 |
| Titel des übergeordneten Werks (Englisch): | Chaos : an interdisciplinary journal of nonlinear science |
| Verlag: | American Institute of Physics |
| Verlagsort: | Melville |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Datum der Erstveröffentlichung: | 02.04.2018 |
| Erscheinungsjahr: | 2018 |
| Datum der Freischaltung: | 16.12.2021 |
| Band: | 28 |
| Ausgabe: | 4 |
| Seitenanzahl: | 9 |
| Fördernde Institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534, 14-12-00811]; German-Russian Interdisciplinary Science Center [G-RISC M-2017a-4] |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer Review: | Referiert |
