Persistent chimera states in nonlocally coupled phase oscillators

TL;DR

This paper demonstrates that chimera states in nonlocally coupled phase oscillators can be stable and persistent even in finite systems, challenging previous notions that they are only transient in numerical simulations.

Contribution

The study introduces a new coupling function showing that chimera states can be stable without the continuous limit, establishing their persistence in finite oscillator networks.

Findings

Chimera states can be stable in finite systems with specific coupling functions.

Persistent chimera states are observed without taking the continuous limit.

Numerical evidence supports the stability of these states in non-ideal conditions.

Abstract

Chimera states in the systems of nonlocally coupled phase oscillators are considered stable in the continuous limit of spatially distributed oscillators. However, it is reported that in the numerical simulations without taking such limit, chimera states are chaotic transient and finally collapse into the completely synchronous solution. In this paper, we numerically study chimera states by using the coupling function different from the previous studies and obtain the result that chimera states can be stable even without taking the continuous limit, which we call the persistent chimera state.