Kuramoto model with coupling through an external medium
Chaotic Dynamics
2015-06-03 v1
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.
Keywords
Cite
@article{arxiv.1112.2802,
title = {Kuramoto model with coupling through an external medium},
author = {David J. Schwab and Gabriel G. Plunk and Pankaj Mehta},
journal= {arXiv preprint arXiv:1112.2802},
year = {2015}
}
Comments
9 pages, 3 figures