Kuramoto model with coupling through an external medium

David J. Schwab*, Gabriel G. Plunk, Pankaj Mehta

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Synchronization of coupled oscillators is often described using the Kuramoto model. Here, we study a generalization of the Kuramoto model where oscillators communicate with each other through an external medium. This generalized model exhibits interesting new phenomena such as bistability between synchronization and incoherence and a qualitatively new form of synchronization where the external medium exhibits small-amplitude oscillations. We conclude by discussing the relationship of the model to other variations of the Kuramoto model including the Kuramoto model with a bimodal frequency distribution and the Millennium bridge problem.

Original languageEnglish (US)
Article number043139
Issue number4
StatePublished - Oct 4 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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