| Full text | |
| Author(s): |
Gengel, Erik
;
Teichmann, Erik
;
Rosenblum, Michael
;
Pikovsky, Arkady
Total Authors: 4
|
| Document type: | Journal article |
| Source: | JOURNAL OF PHYSICS-COMPLEXITY; v. 2, n. 1, p. 19-pg., 2021-06-01. |
| Abstract | |
We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be introduced explicitly, we develop an analytic perturbation procedure to explicitly obtain the higher-order approximation. We demonstrate this by deriving the second-order phase equations for a network of three Stuart-Landau oscillators. For systems where explicit expressions of the phase are not available, we present a numerical procedure that constructs the phase dynamics equations for a small network of coupled units. We apply this approach to a network of three van der Pol oscillators and reveal components in the coupling with different scaling in the interaction strength. (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 |