The Kuramoto model: A simple paradigm for synchronization phenomena

@article{Acebrn2005TheKM,
  title={The Kuramoto model: A simple paradigm for synchronization phenomena},
  author={Juan A. Acebr{\'o}n and Luis L. Bonilla and Conrado J. P{\'e}rez Vicente and Felix Ritort and Renato Spigler},
  journal={Reviews of Modern Physics},
  year={2005},
  volume={77},
  pages={137-185}
}
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… 
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