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Bifurcations in the Kuramoto model with external forcing and higher-order interactions

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Autor(es):
Costa, Guilherme S. ; Novaes, Marcel ; de Aguiar, Marcus A. M.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 34, n. 12, p. 11-pg., 2024-12-01.
Resumo

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)

Processo FAPESP: 21/14335-0 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para Física Teórica
Beneficiário:Nathan Jacob Berkovits
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
Processo FAPESP: 23/15644-2 - Generalizações e Aplicações do modelo de Kuramoto
Beneficiário:Marcus Aloizio Martinez de Aguiar
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil
Processo FAPESP: 23/03917-4 - Sincronização de osciladores de Kuramoto frustrados em redes modulares
Beneficiário:Guilherme Henrique da Silva Costa
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado