A classification scheme for chimera states

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

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77 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 languageEnglish (US)
Article number094815
JournalChaos
Volume26
Issue number9
DOIs
StatePublished - Sep 1 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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    Kemeth, F. P., Haugland, S. W., Schmidt, L., Kevrekidis, I. G., & Krischer, K. (2016). A classification scheme for chimera states. Chaos, 26(9), [094815]. https://doi.org/10.1063/1.4959804