Kuramoto model with coupling through an external medium
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Dec 01, 2012
- Source ID
- 10.1063/1.4767658
Entities
People
- David J. Schwab
- Gabriel G. Plunk
- Pankaj Mehta
Organizations
- Boston University
- Defense Advanced Research Projects Agency
- National Institutes of Health
- National Science Foundation
- Princeton University
- United States Department of Energy