| Full text | |
| Author(s): |
Costa, Guilherme S.
;
Novaes, Marcel
;
de Aguiar, Marcus A. M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Chaos; v. 34, n. 12, p. 11-pg., 2024-12-01. |
| Abstract | |
Synchronization is an important phenomenon in a wide variety of systems comprising interacting oscillatory units, whether natural (like neurons, biochemical reactions, and cardiac cells) or artificial (like metronomes, power grids, and Josephson junctions). The Kuramoto model provides a simple description of these systems and has been useful in their mathematical exploration. Here, we investigate this model by combining two common features that have been observed in many systems: External periodic forcing and higher-order interactions among the elements. We show that the combination of these ingredients leads to a very rich bifurcation scenario that produces 11 different asymptotic states of the system, with competition between forced and spontaneous synchronization. We found, in particular, that saddle-node, Hopf, and homoclinic manifolds are duplicated in regions of parameter space where the unforced system displays bi-stability. (AU) | |
| FAPESP's process: | 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics |
| Grantee: | Nathan Jacob Berkovits |
| Support Opportunities: | Special Projects |
| FAPESP's process: | 23/15644-2 - Generalizations and Applications of the Kuramoto model |
| Grantee: | Marcus Aloizio Martinez de Aguiar |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| FAPESP's process: | 23/03917-4 - Synchronization of frustrated Kuramoto oscillators on modular networks |
| Grantee: | Guilherme Henrique da Silva Costa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |