Chimera states in a system of stationary and flying-through deterministic particles with an internal degree of freedom

TL;DR

This paper investigates the emergence and interaction of stationary and moving chimera states in a system of particles with internal phase degrees, revealing how potential wells influence their dynamics and synchronization patterns.

Contribution

It introduces a model showing how varying potential wells lead to stationary and moving chimeras, and explores their coexistence and interaction.

Findings

Stationary chimeras emerge at low potential wells.

Moving chimeras form with increased potential wells.

Coexistence and interaction of both chimera types observed.

Abstract

We consider the effect of the emergence of chimera states in a system of coexisting stationary and flying-through in potential particles with an internal degree of freedom determined by the phase. All particles tend to an equilibrium state with a small number of potential wells, which leads to the emergence of a stationary chimera. An increase in the number of potential wells leads to the emergence of particles flying-through along the medium, the phases of which form a moving chimera. Further, these two structures coexist and interact with each other. In this case, an increase in the local synchronization degree of the chimera is observed in the areas of the synchronous cluster location.