Intercommunity resonances in multifrequency ensembles of coupled oscillators
- We generalize the Kuramoto model of globally coupled oscillators to multifrequency communities. A situation when mean frequencies of two subpopulations are close to the resonance 2 : 1 is considered in detail. We construct uniformly rotating solutions describing synchronization inside communities and between them. Remarkably, cross coupling across the frequencies can promote synchrony even when ensembles are separately asynchronous. We also show that the transition to synchrony due to the cross coupling is accompanied by a huge multiplicity of distinct synchronous solutions, which is directly related to a multibranch entrainment. On the other hand, for synchronous populations, the cross-frequency coupling can destroy phase locking and lead to chaos of mean fields.
| Verfasserangaben: | Maxim Komarov, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.92.012906 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/26274246 |
| Titel des übergeordneten Werks (Englisch): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Verlag: | American Physical Society |
| Verlagsort: | College Park |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Jahr der Erstveröffentlichung: | 2015 |
| Erscheinungsjahr: | 2015 |
| Datum der Freischaltung: | 27.03.2017 |
| Band: | 92 |
| Ausgabe: | 1 |
| Seitenanzahl: | 11 |
| Fördernde Institution: | Alexander von Humboldt Foundation; NIH [R01 DC012943]; ONR [N000141310672]; Russian Science Foundation [14-12-00811] |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer Review: | Referiert |
