Dynamics of multi-frequency oscillator ensembles with resonant coupling
- We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase model for the situation, where the natural frequencies of two interacting subpopulations are in relation 2 : 1. Depending on the parameter of coupling, ensembles can demonstrate fully synchronous clusters, partial synchrony (only one subpopulation synchronizes), or asynchrony in both subpopulations. Theoretical description of the dynamics based on the Watanabe-Strogatz approach is developed.
| Author details: | S. Lueck, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.physleta.2011.06.016 |
| ISSN: | 0375-9601 |
| Title of parent work (English): | Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics |
| Publisher: | Elsevier |
| Place of publishing: | Amsterdam |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Tag: | Kuramoto model; Oscillator populations; Resonant interaction |
| Volume: | 375 |
| Issue: | 28-29 |
| Number of pages: | 6 |
| First page: | 2714 |
| Last Page: | 2719 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
