The Kuramoto model: A simple paradigm for synchronization phenomena

Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator....

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Detalles Bibliográficos
Autores: Acebrón, Juan A., Bonilla, L. L. (Luis López), 1956-, Pérez-Vicente, Conrado, 1962-, Ritort Farran, Fèlix, Spigler, Renato
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/12768
Acceso en línea:https://hdl.handle.net/2445/12768
Access Level:acceso abierto
Palabra clave:Física estadística
Termodinàmica
Models matemàtics
Statistical physics
Thermodynamics
Mathematical models
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spelling The Kuramoto model: A simple paradigm for synchronization phenomenaAcebrón, Juan A.Bonilla, L. L. (Luis López), 1956-Pérez-Vicente, Conrado, 1962-Ritort Farran, FèlixSpigler, RenatoFísica estadísticaTermodinàmicaModels matemàticsStatistical physicsThermodynamicsMathematical modelsSynchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator. In this review, synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. A rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years are presented. Relevant applications of the model in different contexts are also included.American Physical Society201020102005info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion49 p.application/pdfhttps://hdl.handle.net/2445/12768Articles publicats en revistes (Física de la Matèria Condensada)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a http://dx.doi.org/10.1103/RevModPhys.77.137Reviews of Modern Physics, 2005, vol. 77, núm. 1, p. 137-185http://dx.doi.org/10.1103/RevModPhys.77.137(c) American Physical Society, 2005info:eu-repo/semantics/openAccessoai:recercat.cat:2445/127682026-05-29T05:05:01Z
dc.title.none.fl_str_mv The Kuramoto model: A simple paradigm for synchronization phenomena
title The Kuramoto model: A simple paradigm for synchronization phenomena
spellingShingle The Kuramoto model: A simple paradigm for synchronization phenomena
Acebrón, Juan A.
Física estadística
Termodinàmica
Models matemàtics
Statistical physics
Thermodynamics
Mathematical models
title_short The Kuramoto model: A simple paradigm for synchronization phenomena
title_full The Kuramoto model: A simple paradigm for synchronization phenomena
title_fullStr The Kuramoto model: A simple paradigm for synchronization phenomena
title_full_unstemmed The Kuramoto model: A simple paradigm for synchronization phenomena
title_sort The Kuramoto model: A simple paradigm for synchronization phenomena
dc.creator.none.fl_str_mv Acebrón, Juan A.
Bonilla, L. L. (Luis López), 1956-
Pérez-Vicente, Conrado, 1962-
Ritort Farran, Fèlix
Spigler, Renato
author Acebrón, Juan A.
author_facet Acebrón, Juan A.
Bonilla, L. L. (Luis López), 1956-
Pérez-Vicente, Conrado, 1962-
Ritort Farran, Fèlix
Spigler, Renato
author_role author
author2 Bonilla, L. L. (Luis López), 1956-
Pérez-Vicente, Conrado, 1962-
Ritort Farran, Fèlix
Spigler, Renato
author2_role author
author
author
author
dc.subject.none.fl_str_mv Física estadística
Termodinàmica
Models matemàtics
Statistical physics
Thermodynamics
Mathematical models
topic Física estadística
Termodinàmica
Models matemàtics
Statistical physics
Thermodynamics
Mathematical models
description Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator. In this review, synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. A rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years are presented. Relevant applications of the model in different contexts are also included.
publishDate 2005
dc.date.none.fl_str_mv 2005
2010
2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/12768
url https://hdl.handle.net/2445/12768
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a http://dx.doi.org/10.1103/RevModPhys.77.137
Reviews of Modern Physics, 2005, vol. 77, núm. 1, p. 137-185
http://dx.doi.org/10.1103/RevModPhys.77.137
dc.rights.none.fl_str_mv (c) American Physical Society, 2005
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2005
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 49 p.
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física de la Matèria Condensada)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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