Characterization of chimeras in coupled phase oscillators based on a coherence function
type: Item
instance of: scholarly article
title: Characterization of chimeras in coupled phase oscillators based on a coherence function
author: S. T. da Silva
author: R. L. Viana
author: C. A. S. Batista
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2022-12-20T00:00:00Z
review text: The authors study a ring of Kuramoto phase oscillators with nonlocal coupling which decays exponentially with the distance between oscillators. The oscillators' intrinsic frequencies are randomly chosen from a unit Gaussian distribution. For different values of the overall coupling strength and the spatial scale of coupling, states labelled ``coherent'', ``chimera'', and ``completely incoherent'' are observed. They measure a spatial correlation function for each of these states. They then introduce a scalar measure which determines what fraction of the oscillators are in a coherent state (neighbouring oscillators have similar phases) as opposed to incoherent (neighbouring oscillators have very different phases). This scalar varies as expected as parameters are varied.
reviewed by: Carlo Laing
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 7634560
zbMATH Keywords: chimera
zbMATH Keywords: Kuramoto phase oscillators
zbMATH Keywords: synchrony
zbMATH Keywords: nonlocal coupling
MaRDI profile type: Publication
full work available at URL: j.cnsns.2022.106921
OpenAlex ID: W4304080628
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DOI: 10.1016/J.CNSNS.2022.106921
description: scientific article; zbMATH DE number 7634560