# Quantifying coherence of chimera states in coupled chaotic systems

## TL;DR

This paper introduces a method to quantify the coherence of chimera states in coupled chaotic systems using a local order parameter and plateau counting, applied to logistic maps and R"ossler systems.

## Contribution

It presents a novel quantification technique for coherence in chimera states, enabling systematic analysis of their dependence on system parameters.

## Key findings

- The method effectively measures coherence levels in chimera states.
- Coherence varies systematically with coupling strength.
- The technique is applicable to different chaotic systems.

## Abstract

Chimera states in coupled oscillator systems present both spatially coherent and incoherent domains. The number and size of these domains depend on many factors like the system parameters and initial conditions. Systematic investigations of these dependences require a quantification of the degree of coherence present in a given snapshot spatial pattern. We propose the use of a local order parameter magnitude combined with the counting of the corresponding plateaus so as to provide such quantification. We use this technique in non-locally coupled lattices of chaotic logistic maps and chaotic R\"ossler systems to investigate the dependence of the degree of coherence on the coupling strength.