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High-order phase reduction for coupled oscillators

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Autor(es):
Gengel, Erik ; Teichmann, Erik ; Rosenblum, Michael ; Pikovsky, Arkady
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF PHYSICS-COMPLEXITY; v. 2, n. 1, p. 19-pg., 2021-06-01.
Resumo

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)

Processo FAPESP: 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
Beneficiário:Elbert Einstein Nehrer Macau
Modalidade de apoio: Auxílio à Pesquisa - Temático