Atypical Chimera States in an Ensemble of Partially Mobile Particles

TL;DR

This paper investigates how nonuniform motion of oscillators in a ring chain with nonlocal coupling leads to the emergence of atypical chimera states characterized by broken symmetry and novel phase correlation patterns.

Contribution

It introduces a new mechanism for chimera state formation based on regular spatially inhomogeneous motion causing symmetry breaking in the interaction kernel.

Findings

Identification of a novel mechanism for chimera states.

Discovery of nonuniformly twisted coherent-incoherent states.

Explanation of symmetry breaking's role in state emergence.

Abstract

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies on regular spatially inhomogeneous motion of oscillators, which breaks the symmetry of the effective interaction kernel. This symmetry breaking induces spatial phase correlations in the asynchronous part of the system, giving rise to nonuniformly twisted and previously unobserved coherent-incoherent-twisted states.