Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise
- We study ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate that if the oscillators are forced in several harmonics, stationary synchronous regimes can be exactly described with a finite number of complex order parameters. The corresponding distribution of phases is a product of wrapped Cauchy distributions. For sinusoidal forcing, the Ott-Antonsen low-dimensional reduction is recovered.
| Author details: | Ralf TönjesORCiDGND, Arkady PikovskyORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevE.102.052315 |
| ISSN: | 2470-0045 |
| ISSN: | 2470-0053 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/33327137 |
| 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 |
| Date of first publication: | 2020/11/24 |
| Publication year: | 2020 |
| Release date: | 2023/03/22 |
| Volume: | 102 |
| Issue: | 5 |
| Article number: | 052315 |
| Number of pages: | 5 |
| Funding institution: | Russian Science FoundationRussian Science Foundation (RSF); [17-12-01534]; DFGGerman Research Foundation (DFG)European Commission; [PI 220/21-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| 5 Naturwissenschaften und Mathematik / 57 Biowissenschaften; Biologie / 570 Biowissenschaften; Biologie | |
| Peer review: | Referiert |
