| Full text | |
| Author(s): |
Costa, Guilherme S.
;
Novaes, Marcel
;
de Aguiar, Marcus A. M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | CHAOS SOLITONS & FRACTALS; v. 195, p. 6-pg., 2025-03-13. |
| Abstract | |
Higher order interactions can lead to new equilibrium states and bifurcations in systems of coupled oscillators described by the Kuramoto model. However, even in the simplest case of 3-body interactions there are more than one possible functional forms, depending on how exactly the bodies are coupled. Which of these forms is better suited to describe the dynamics of the oscillators depends on the specific system under consideration. Here we show that, for a particular class of interactions, reduced equations for the Kuramoto order parameter can be derived for arbitrarily many bodies. Moreover, the contribution of a given term to the reduced equation does not depend on its order, but on a certain effective order, that we define. We give explicit examples where bi and tri-stability is found and discuss a few exotic cases where synchronization happens via a third order phase transition. (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 |