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 populations 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.

ACEBRON J., A., BONILLA L., L., PEREZ VICENTE C., J., Ritort, F., Spigler, R. (2005). The Kuramoto model: a simple paradigm for synchronization phenomena. REVIEWS OF MODERN PHYSICS, 77, 137-185.

The Kuramoto model: a simple paradigm for synchronization phenomena

SPIGLER, Renato
2005-01-01

Abstract

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 populations 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.
2005
ACEBRON J., A., BONILLA L., L., PEREZ VICENTE C., J., Ritort, F., Spigler, R. (2005). The Kuramoto model: a simple paradigm for synchronization phenomena. REVIEWS OF MODERN PHYSICS, 77, 137-185.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/158183
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2428
  • ???jsp.display-item.citation.isi??? 2285
social impact