Finite-density-induced motility and turbulence of chimera solitons

TL;DR

This paper investigates how finite oscillator density induces motility and turbulence in chimera solitons within a one-dimensional oscillatory medium, revealing new stability and dynamic behaviors absent in the continuum limit.

Contribution

It demonstrates the existence of stable, motile chimera solitons at finite densities and describes the transition to turbulence and intermittency caused by long-wave instabilities.

Findings

Finite density stabilizes motile chimera solitons.

Solitons sway with a nearly constant speed at finite density.

Long-wave instability leads to soliton turbulence and intermittency.

Abstract

We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto-Battogtokh model. We demonstrate that for a finite diffusion stable chimera solitons, namely localized synchronous domain in an infinite asynchronous environment, are possible. The solitons are stable also for finite density of oscillators, but in this case they sway with a nearly constant speed. This finite-density-induced motility disappears in the continuum limit, as the velocity of the solitons is inverse proportional to the density. A long-wave instability of the homogeneous asynchronous state causes soliton turbulence, which appears as a sequence of soliton mergings and creations. As the instability of the asynchronous state becomes stronger, this turbulence develops into a spatio-temporal intermittency.