Synchronization on star graph with noise
Disordered Systems and Neural Networks
2023-01-11 v4 Statistical Mechanics
Abstract
We investigate synchronization in the Kuramoto model with noise on a star graph. By revising the case of a complete graph, we propose a closed form of self-consistency equation for the conventional order parameter and generalize it for a star graph. Using the obtained self-consistency equation, we demonstrate that there is a crossover between the abrupt synchronization at small noise and the continuous phase transition for quite large noise. We probe this crossover numerically and analytically.
Keywords
Cite
@article{arxiv.2204.05581,
title = {Synchronization on star graph with noise},
author = {Artem Alexandrov},
journal= {arXiv preprint arXiv:2204.05581},
year = {2023}
}
Comments
Two minor typos were fixed