# Chimera states: Effects of different coupling topologies

## TL;DR

This paper reviews how various coupling topologies influence the emergence of chimera states, which are complex patterns of coexistence between synchronized and desynchronized oscillators.

## Contribution

It provides a comprehensive overview of chimera states across different network topologies, highlighting recent developments and future research directions.

## Key findings

- Chimera states occur in local, nonlocal, and global coupling networks.
- Different topologies lead to diverse chimera patterns and behaviors.
- The review identifies key challenges and open questions in the field.

## Abstract

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a fascinating manifestation of collective behavior, in particular describing a symmetry breaking spatiotemporal pattern where synchronized and desynchronized states coexist in a network of coupled oscillators. In this perspective, we review the emergence of different chimera states, focusing on the effects of different coupling topologies that describe the interaction network connecting the oscillators. We cover chimera states that emerge in local, nonlocal and global coupling topologies, as well as in modular, temporal and multilayer networks. We also provide an outline of challenges and directions for future research.