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

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

149 Scopus citations

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.

Original language	English (US)
Article number	094815
Journal	Chaos
Volume	26
Issue number	9
DOIs	https://doi.org/10.1063/1.4959804
State	Published - Sep 1 2016

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1063/1.4959804

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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.",

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 - Schmidt, Lennart

AU - Kevrekidis, Ioannis G.

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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