Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-12-13
Nonlinear Sciences
Chaotic Dynamics
9 pages, 3 figures
Scientific paper
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.
Mehta Pankaj
Plunk Gabriel G.
Schwab David J.
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