Busca avançada
Ano de início
Entree
(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Instantaneous frequencies in the Kuramoto model

Texto completo
Autor(es):
da Fonseca, Julio D. [1] ; Leonel, Edson D. [1] ; Chate, Hugues [2, 3, 4]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Univ Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Paris Saclay, Serv Phys Etat Condense, CEA Saclay, CEA, CNRS, F-91191 Gif Sur Yvette - France
[3] Computat Sci Res Ctr, Beijing 100193 - Peoples R China
[4] Sorbonne Univ, Lab Phys Theor Mat Condensee, CNRS, F-75005 Paris - France
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 102, n. 5 NOV 23 2020.
Citações Web of Science: 0
Resumo

Using the main results of the Kuramoto theory of globally coupled phase oscillators combined with methods from probability and generalized function theory in a geometric analysis, we extend Kuramoto's results and obtain a mathematical description of the instantaneous frequency (phase-velocity) distribution. Our result is validated against numerical simulations, and we illustrate it in cases in which the natural frequencies have normal and Beta distributions. In both cases, we vary the coupling strength and compare systematically the distribution of time-averaged frequencies (a known result of Kuramoto theory) to that of instantaneous frequencies, focusing on their qualitative differences near the synchronized frequency and in their tails. For a class of natural frequency distributions with power-law tails, which includes the Cauchy-Lorentz distribution, we analyze the tails of the instantaneous frequency distribution by means of an asymptotic formula obtained from a power-series expansion. (AU)

Processo FAPESP: 19/14038-6 - Investigação de propriedades dinâmicas em sistemas não lineares
Beneficiário:Edson Denis Leonel
Modalidade de apoio: Auxílio à Pesquisa - Regular
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