Dynamics of multifrequency oscillator communities
- We consider a generalization of the Kuramoto model of coupled oscillators to the situation where communities of oscillators having essentially different natural frequencies interact. General equations describing possible resonances between the communities' frequencies are derived. The simplest situation of three resonantly interacting groups is analyzed in detail. We find conditions for the mutual coupling to promote or suppress synchrony in individual populations and present examples where the interaction between communities leads to their synchrony or to a partially asynchronous state or to a chaotic dynamics of order parameters. DOI: 10.1103/PhysRevLett.110.134101
| Author details: | Maxim Komarov, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevLett.110.134101 |
| ISSN: | 0031-9007 |
| Title of parent work (English): | Physical review letters |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2013 |
| Publication year: | 2013 |
| Release date: | 2017/03/26 |
| Volume: | 110 |
| Issue: | 13 |
| Number of pages: | 5 |
| Funding institution: | G-RISC program (DAAD); IRTG [1740/TRP 2011/50151-0]; DFG/FAPESP; Federal Program "Scientific and scientific-educational brain-power of innovative Russia" [14.B37.21.0863] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
