Density of instantaneous frequencies in the Kuramoto-Sakaguchi model

Autor(es)

da Fonseca, Julio D. ; Leonel, Edson D. ; Medrano-T, Rene O.

• Tipo de documento: Artigo Científico
• Fonte: CHAOS SOLITONS & FRACTALS; v. 172, p. 12-pg., 2023-06-01.

Resumo

We obtain a formula for the statistical distribution of instantaneous frequencies in the Kuramoto-Sakaguchi model. This work is based on the Kuramoto-Sakaguchi's theory of globally coupled phase oscillators, which we review in full detail by discussing its assumptions and showing all steps behind the derivation of its main results. Our formula is a stationary probability density function with a complex mathematical structure, is consistent with numerical simulations and gives a description of the stationary collective states of the Kuramoto-Sakaguchi model. (AU)

• Processo FAPESP: 19/12930-9 - Propriedades estatísticas das frequências instantâneas no modelo de Kuramoto
• Beneficiário: Julio César David da Fonseca
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 19/14038-6 - Investigação de propriedades dinâmicas em sistemas não lineares
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular