Global dynamics of oscillator populations under common noise
- Common noise acting on a population of identical oscillators can synchronize them. We develop a description of this process which is not limited to the states close to synchrony, but provides a global picture of the evolution of the ensembles. The theory is based on the Watanabe-Strogatz transformation, allowing us to obtain closed stochastic equations for the global variables. We show that at the initial stage, the order parameter grows linearly in time, while at the later stages the convergence to synchrony is exponentially fast. Furthermore, we extend the theory to nonidentical ensembles with the Lorentzian distribution of natural frequencies and determine the stationary values of the order parameter in dependence on driving noise and mismatch.
| Author details: | W. Braun, Arkadij PikovskijORCiDGND, M. A. Matias, P. Colet |
|---|---|
| DOI: | https://doi.org/10.1209/0295-5075/99/20006 |
| ISSN: | 0295-5075 |
| Title of parent work (English): | epl : a letters journal exploring the frontiers of physics |
| Publisher: | EDP Sciences |
| Place of publishing: | Mulhouse |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2012 |
| Publication year: | 2012 |
| Release date: | 2017/03/26 |
| Volume: | 99 |
| Issue: | 2 |
| Number of pages: | 6 |
| Funding institution: | UIB; Spanish MINECO; FEDER [FISI-COS (FIS2007-60327), DeCoDicA (TEC2009-14101)] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
