Study of phase synchronization in oscillators networks and applications to informa...
Study of collective phenomena in physical and biological systems
Synchronization of Kuramoto oscillators with generalized coupling
| Full text | |
| Author(s): |
Gong, Chen Chris
;
Toenjes, Ralf
;
Pikovsky, Arkady
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 102, n. 2, p. 12-pg., 2020-08-12. |
| Abstract | |
We propose Mobius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition in the Kuramoto-Sakaguchi model of nonidentical oscillators, chimeras in two coupled populations of identical phase oscillators, and Kuramoto-Battogtokh chimeras on a ring, and demonstrate similarities and differences between the iterated map models and their known continuous-time counterparts. (AU) | |
| FAPESP's process: | 15/50122-0 - Dynamic phenomena in complex networks: basics and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support Opportunities: | Research Projects - Thematic Grants |