Density of instantaneous frequencies in the Kuramoto–Sakaguchi model

Detalhes bibliográficos
Autor(a) principal: da Fonseca, Julio D. [UNESP]
Data de Publicação: 2023
Outros Autores: Leonel, Edson D. [UNESP], Medrano-T, Rene O. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.chaos.2023.113553
http://hdl.handle.net/11449/247501
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.
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spelling Density of instantaneous frequencies in the Kuramoto–Sakaguchi modelCollective behaviorNonlinear DynamicsSelf-organizationStationary statesSynchronizationWe 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Física Universidade Estadual Paulista Bela VistaDepartamento de Física Universidade Federal de São Paulo UNIFESP, 09913-030, Campus DiademaDepartamento de Física Universidade Estadual Paulista Bela VistaFAPESP: 2019/12930-9FAPESP: 2019/14038-6CNPq: 301318/2019-0Universidade Estadual Paulista (UNESP)Universidade Federal de São Paulo (UNIFESP)da Fonseca, Julio D. [UNESP]Leonel, Edson D. [UNESP]Medrano-T, Rene O. [UNESP]2023-07-29T13:17:49Z2023-07-29T13:17:49Z2023-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.chaos.2023.113553Chaos, Solitons and Fractals, v. 172.0960-0779http://hdl.handle.net/11449/24750110.1016/j.chaos.2023.1135532-s2.0-85160805675Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaos, Solitons and Fractalsinfo:eu-repo/semantics/openAccess2023-07-29T13:17:49Zoai:repositorio.unesp.br:11449/247501Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T13:17:49Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
title Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
spellingShingle Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
da Fonseca, Julio D. [UNESP]
Collective behavior
Nonlinear Dynamics
Self-organization
Stationary states
Synchronization
title_short Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
title_full Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
title_fullStr Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
title_full_unstemmed Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
title_sort Density of instantaneous frequencies in the Kuramoto–Sakaguchi model
author da Fonseca, Julio D. [UNESP]
author_facet da Fonseca, Julio D. [UNESP]
Leonel, Edson D. [UNESP]
Medrano-T, Rene O. [UNESP]
author_role author
author2 Leonel, Edson D. [UNESP]
Medrano-T, Rene O. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade Federal de São Paulo (UNIFESP)
dc.contributor.author.fl_str_mv da Fonseca, Julio D. [UNESP]
Leonel, Edson D. [UNESP]
Medrano-T, Rene O. [UNESP]
dc.subject.por.fl_str_mv Collective behavior
Nonlinear Dynamics
Self-organization
Stationary states
Synchronization
topic Collective behavior
Nonlinear Dynamics
Self-organization
Stationary states
Synchronization
description 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.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T13:17:49Z
2023-07-29T13:17:49Z
2023-07-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.chaos.2023.113553
Chaos, Solitons and Fractals, v. 172.
0960-0779
http://hdl.handle.net/11449/247501
10.1016/j.chaos.2023.113553
2-s2.0-85160805675
url http://dx.doi.org/10.1016/j.chaos.2023.113553
http://hdl.handle.net/11449/247501
identifier_str_mv Chaos, Solitons and Fractals, v. 172.
0960-0779
10.1016/j.chaos.2023.113553
2-s2.0-85160805675
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos, Solitons and Fractals
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1797789276193161216

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