Solitary state at the edge of synchrony in ensembles with attractive and repulsive interactions
- We discuss the desynchronization transition in networks of globally coupled identical oscillators with attractive and repulsive interactions. We show that, if attractive and repulsive groups act in antiphase or close to that, a solitary state emerges with a single repulsive oscillator split up from the others fully synchronized. With further increase of the repulsing strength, the synchronized cluster becomes fuzzy and the dynamics is given by a variety of stationary states with zero common forcing. Intriguingly, solitary states represent the natural link between coherence and incoherence. The phenomenon is described analytically for phase oscillators with sine coupling and demonstrated numerically for more general amplitude models.
| Author details: | Yuri Maistrenko, Bogdan Penkovsky, Michael RosenblumORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.89.060901 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/25019710 |
| Title of parent work (English): | Physical review : E, Statistical, nonlinear and soft matter physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Volume: | 89 |
| Issue: | 6 |
| Number of pages: | 5 |
| Funding institution: | Merkator-Stiftung, Germany |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
