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
Descripción
Sumario: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.