Oscillator Synchronization
نویسنده
چکیده
The nonlinear Kuramoto equations for n coupled oscillators are derived and studied. The oscillators are defined to be synchronized when they oscillate at the same frequency and their phases are all equal. A control-theoretic viewpoint reveals that synchronized states of Kuramoto oscillators are locally asymptotically stable if every oscillator is coupled to all others. The problem of synchronization in Kuramoto oscillators is closely related to rendezvous, consensus, and flocking problems in distributed control. These problems, with their elegant solution by graph theory, are discussed briefly.
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