Bifurcations in the Sakaguchi-Kuramoto model

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750753404.pdf (548.82 KB)

Date

2013

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Advisor

Volume

1791

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WIAS Preprints

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Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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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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Keywords

Synchronization, coupled oscillators, Sakaguchi-Kuramoto model, Ott-Antonsen reduction

Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/2076
 https://oa.tib.eu/renate/handle/123456789/1847

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Mathematik
WIAS Preprints

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