Instantaneous frequencies in the Kuramoto model

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorCEA-Saclay-
Autor(es): dc.contributorComputational Science Research Center-
Autor(es): dc.contributorLaboratoire de Physique Théorique de la Matière Condensée-
Autor(es): dc.creatorDa Fonseca, Julio D. [UNESP]-
Autor(es): dc.creatorLeonel, Edson D. [UNESP]-
Autor(es): dc.creatorChaté, Hugues-
Data de aceite: dc.date.accessioned2022-08-04T22:09:09Z-
Data de disponibilização: dc.date.available2022-08-04T22:09:09Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2020-11-22-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.102.052127-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/221619-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/221619-
Descrição: dc.descriptionUsing 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.-
Descrição: dc.descriptionDepartamento de Física Universidade Estadual Paulista Bela Vista-
Descrição: dc.descriptionService de Physique de l'Etat Condensé CEA CNRS Université Paris-Saclay CEA-Saclay-
Descrição: dc.descriptionComputational Science Research Center-
Descrição: dc.descriptionSorbonne Université CNRS Laboratoire de Physique Théorique de la Matière Condensée-
Descrição: dc.descriptionDepartamento de Física Universidade Estadual Paulista Bela Vista-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review E-
???dc.source???: dc.sourceScopus-
Título: dc.titleInstantaneous frequencies in the Kuramoto model-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.