Synchronization of oscillators in a Kuramoto-type model with generic coupling
Chaotic Dynamics
2015-06-19 v1
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.
Cite
@article{arxiv.1405.5464,
title = {Synchronization of oscillators in a Kuramoto-type model with generic coupling},
author = {Vladimir Vlasov and Elbert E. N. Macau and Arkady Pikovsky},
journal= {arXiv preprint arXiv:1405.5464},
year = {2015}
}
Comments
15 pages, 7 figures