Synchronization of oscillators in a Kuramoto-type model with generic coupling
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Publication:2821548
DOI10.1063/1.4880835zbMATH Open1345.34065arXiv1405.5464OpenAlexW2009040473WikidataQ51071176 ScholiaQ51071176MaRDI QIDQ2821548
Author name not available (Why is that?)
Publication date: 21 September 2016
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1405.5464
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