Nonuniformly twisted states and traveling chimeras in a system of nonlocally coupled identical phase oscillators

We explore the model of a population of nonlocally coupled identical phase oscillators on a ring (Abrams and Strogatz 2004 Phys. Rev. Lett. 93 174102) and describe traveling patterns. In the continuous in space formulation, we find families of traveling wave solutions for left-right symmetric and as...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physic, complexity complexity, 2024-03, Vol.5 (1), p.15019
Main Authors: Smirnov, L A, Bolotov, M I, Pikovsky, A
Format: Article
Language:English
Subjects:
asymmetric coupling
Lyapunov exponent
nonlocal coupling
phase oscillators
traveling chimera
twisted states
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We explore the model of a population of nonlocally coupled identical phase oscillators on a ring (Abrams and Strogatz 2004 Phys. Rev. Lett. 93 174102) and describe traveling patterns. In the continuous in space formulation, we find families of traveling wave solutions for left-right symmetric and asymmetric couplings. Only the simplest of these waves are stable, which is confirmed by numerical simulations for a finite population. We demonstrate that for asymmetric coupling, a weakly turbulent traveling chimera regime is established, both from an initial standing chimera or an unstable traveling wave profile. The weakly turbulent chimera is a macroscopically chaotic state, with a well-defined synchronous domain and partial coherence in the disordered domain. We characterize it through the correlation function and the Lyapunov spectrum.
ISSN:2632-072X
2632-072X
DOI:10.1088/2632-072X/ad2ec2