A classification scheme for chimera states

TL;DR

This paper introduces a universal scheme for classifying chimera states using correlation measures, applicable to both experimental and numerical data, enabling consistent categorization and comparison.

Contribution

A novel, universal classification scheme for chimera states based on correlation measures, applicable to experimental and numerical data, with categories for stationary, turbulent, and breathing states.

Findings

The scheme accurately classifies known chimera states.

It enables identification of previously unrecognized chimera states.

Allows comparison between experimental and simulated chimeras.

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 both is 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.