Role of Coupling Asymmetry in the Fully Disordered Kuramoto Model
Statistical Mechanics
2024-12-20 v2 Disordered Systems and Neural Networks
Dynamical Systems
Chaotic Dynamics
Abstract
We investigate the dynamics of phase oscillators in the fully disordered Kuramoto model with couplings of defined asymmetry. The mean-field dynamics is reduced to a self-consistent stochastic single-oscillator problem which we analyze perturbatively and by numerical simulations. We elucidate the influence of the asymmetry on the correlation and response function of the system as well as on the distribution of the order parameter. The so-called volcano transition is shown to be robust with respect to a small degree of coupling asymmetry but to disappear when the antisymmetry in the couplings outweighs the symmetry.
Cite
@article{arxiv.2408.12988,
title = {Role of Coupling Asymmetry in the Fully Disordered Kuramoto Model},
author = {Axel Prüser and Andreas Engel},
journal= {arXiv preprint arXiv:2408.12988},
year = {2024}
}