Instantaneous frequencies in the Kuramoto model

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.contributorUniv Paris Saclay-
Autor(es): dc.contributorComputat Sci Res Ctr-
Autor(es): dc.contributorSorbonne Univ-
Autor(es): dc.creatorFonseca, Julio D. da [UNESP]-
Autor(es): dc.creatorLeonel, Edson D. [UNESP]-
Autor(es): dc.creatorChate, Hugues-
Data de aceite: dc.date.accessioned2022-02-22T00:57:22Z-
Data de disponibilização: dc.date.available2022-02-22T00:57:22Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
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/11449/209691-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/209691-
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.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionUniv Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP, Brazil-
Descrição: dc.descriptionUniv Paris Saclay, Serv Phys Etat Condense, CEA Saclay, CEA,CNRS, F-91191 Gif Sur Yvette, France-
Descrição: dc.descriptionComputat Sci Res Ctr, Beijing 100193, Peoples R China-
Descrição: dc.descriptionSorbonne Univ, Lab Phys Theor Mat Condensee, CNRS, F-75005 Paris, France-
Descrição: dc.descriptionUniv Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP, Brazil-
Descrição: dc.descriptionFAPESP: 2019/12930-9-
Descrição: dc.descriptionCNPq: 301318/2019-0-
Descrição: dc.descriptionFAPESP: 2019/14038-6-
Formato: dc.format18-
Idioma: dc.languageen-
Publicador: dc.publisherAmer Physical Soc-
Relação: dc.relationPhysical Review E-
???dc.source???: dc.sourceWeb of Science-
Título: dc.titleInstantaneous frequencies in the Kuramoto model-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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