A classification scheme for chimera states

Felix P. Kemeth; Sindre W. Haugland; Lennart Schmidt; Ioannis G. Kevrekidis; Katharina Krischer

doi:10.1063/1.4959804

A classification scheme for chimera states

Felix P. Kemeth, Sindre W. Haugland, Lennart Schmidt, Ioannis G. Kevrekidis, Katharina Krischer

Professur für Technische Physik

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

159 Zitate (Scopus)

Abstract

We present a universal characterization scheme for chimera states applicable to both numerical and experimental data sets. The scheme is based on two correlation measures that enable a meaningful definition of chimera states as well as their classification into three categories: stationary, turbulent, and breathing. In addition, these categories can be further subdivided according to the time-stationarity of these two measures. We demonstrate that this approach is both consistent with previously recognized chimera states and enables us to classify states as chimeras which have not been categorized as such before. Furthermore, the scheme allows for a qualitative and quantitative comparison of experimental chimeras with chimeras obtained through numerical simulations.

Originalsprache	Englisch
Aufsatznummer	094815
Fachzeitschrift	Chaos
Jahrgang	26
Ausgabenummer	9
DOIs	https://doi.org/10.1063/1.4959804
Publikationsstatus	Veröffentlicht - 1 Sept. 2016

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10.1063/1.4959804

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author = "Kemeth, {Felix P.} and Haugland, {Sindre W.} and Lennart Schmidt and Kevrekidis, {Ioannis G.} and Katharina Krischer",

note = "Funding Information: We thank Maximilian Patzauer and Konrad Schonleber for providing the experimental data and for fruitfuldiscussions. Financial support from the Institute for Advanced Study - Technische Universitat Munchen, funded by the German Excellence Initiative, and the cluster of excellence Nanosystems Initiative Munich (NIM) is gratefully acknowledged.",

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AU - Krischer, Katharina

N1 - Funding Information: We thank Maximilian Patzauer and Konrad Schonleber for providing the experimental data and for fruitfuldiscussions. Financial support from the Institute for Advanced Study - Technische Universitat Munchen, funded by the German Excellence Initiative, and the cluster of excellence Nanosystems Initiative Munich (NIM) is gratefully acknowledged.

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A classification scheme for chimera states

Abstract

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