III Workshop and School on Dynamics, Transport and Control in Complex Networks (Co...
Study of phase synchronization in oscillators networks and applications to informa...
| Full text | |
| Author(s): |
Peron, Thomas
Total Authors: 1
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 103, n. 4, p. 13-pg., 2021-04-15. |
| Abstract | |
We study the collective dynamics of identical phase oscillators on globally coupled networks whose interactions are asymmetric and mediated by positive and negative couplings. We split the set of oscillators into two interconnected subpopulations. In this setup, oscillators belonging to the same group interact via symmetric couplings while the interaction between subpopulations occurs in an asymmetric fashion. By employing the dimensional reduction scheme of the Ott-Antonsen (OA) theory, we verify the existence of traveling wave and pi-states, in addition to the classical fully synchronized and incoherent states. Bistability between all collective states is reported. Analytical results are generally in excellent agreement with simulations; for some parameters and initial conditions, however, we numerically detect chimera-like states which are not captured by the OA theory. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 16/23827-6 - Analysis of epidemic and synchronization processes in complex networks |
| Grantee: | Thomas Kaue Dal Maso Peron |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |