Frequency chimera state induced by differing dynamical timescales

TL;DR

This paper demonstrates the emergence of frequency chimera states in coupled oscillator systems with differing timescales, revealing how local interactions lead to coexistence of synchronized and incoherent frequency domains.

Contribution

It introduces the concept of frequency chimera states induced by differing dynamical timescales in spatially extended systems, a novel phenomenon in coupled oscillator research.

Findings

Frequency chimera states self-organize from random initial conditions.

Coherent and incoherent frequency domains coexist spatially.

Relevance to real-world systems like neuronal networks and power grids.

Abstract

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is generated by the local coupling among nonlinear oscillators evolving under differing dynamical timescales starting from random initial conditions. We show how they self-organize to structured patterns with spatial domains of coherence that are in frequency synchronization, coexisting with domains that are incoherent in frequencies. Our study has relevance in understanding such patterns observed in real-world systems like neuronal systems, power grids, social and ecological networks, where differing dynamical timescales is natural and realistic amongthe interacting systems.