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arXiv · 1405.5464

Synchronization of oscillators in a Kuramoto-type model with generic coupling

Vladimir Vlasov·Elbert E. N. Macau·Arkady Pikovsky
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Abstract

We study synchronization properties of coupled oscillators on networks that allow description in terms of global mean field coupling. These models generalize the standard Kuramoto-Sakaguchi model, allowing for different contributions of oscillators to the mean field and to different forces from the mean field on oscillators. We present the explicit solutions of self-consistency equations for the amplitude and frequency of the mean field in a parametric form, valid for noise-free and noise-driven oscillators. As an example we consider spatially spreaded oscillators, for which the coupling properties are determined by finite velocity of signal propagation.

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Vladimir Vlasov, Elbert E. N. Macau, Arkady Pikovsky. 2014-05-21. Synchronization of oscillators in a Kuramoto-type model with generic coupling. https://doi.org/10.1063/1.4880835

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