Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling
- We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent approach and direct numerical simulations, we argue that a transition to synchrony occurs only for finite-size ensembles and disappears in the thermodynamic limit. For all considered setups, which include purely deterministic oscillators with or without heterogeneity in natural oscillatory frequencies, and an ensemble of noise-driven identical oscillators, we establish scaling relations describing the order parameter as a function of the coupling constant and the system size.
| Author details: | Maxim Komarov, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.92.020901 |
| ISSN: | 1539-3755 |
| ISSN: | 1550-2376 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/26382333 |
| 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: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Volume: | 92 |
| Issue: | 2 |
| Number of pages: | 5 |
| Funding institution: | Alexander von Humboldt Foundation; NIH [R01 DC012943]; ONR [N000141310672]; Russian Science Foundation [14-12-00811]; COSMOS ITN (EU Horizon research and innovation program under Maria-Sklodowska-Curie grant) [642563]; Russian Ministry of Education and Science [02..49.21.0003]; Lobachevsky State University of Nizhni Novgorod [02..49.21.0003] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
