The mathematics behind chimera states

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1009206656.pdf (7.05 MB)

Date

2017

Authors

Volume

2450

Issue

Journal

Series Titel

WIAS Preprints

Book Title

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Link to publishers version

https://doi.org/10.20347/WIAS.PREPRINT.2450

Abstract

Chimera states are self-organized spatiotemporal patterns of coexisting coherence and incoherence. We give an overview of the main mathematical methods used in studies of chimera states, focusing on chimera states in spatially extended coupled oscillator systems. We discuss the continuum limit approach to these states, Ott-Antonsen manifold reduction, finite size chimera states, control of chimera states and the influence of system design on the type of chimera state that is observed.

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Keywords

URI

https://doi.org/10.34657/3377
 https://oa.tib.eu/renate/handle/123456789/2679

Collections

Mathematik
WIAS Preprints

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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.