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oaioai:archive.wias-berlin.de:wias_mods_00002012

Bifurcations in the Sakaguchi--Kuramoto model

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Publication date
1 January 2013
Publisher
Doi

    Abstract

    We analyze the Sakaguchi-Kuramoto model of coupled phase oscillators in a continuum limit given by a frequency dependent version of the Ott-Antonsen system. Based on a self-consistency equation, we provide a detailed analysis of partially synchronized states, their bifurcation from the completely incoherent state and their stability properties. We use this method to analyze the bifurcations for various types of frequency distributions and explain the appearance of non-universal synchronization transitions

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    Last time updated on 04/04/2020

    This paper was published in Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics.

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