Mean field Kuramoto models on graphs
Dynamical Systems
2022-03-02 v1
Abstract
One of a classical synchronization model is the Kuramoto model. We propose both first and second order Kuramoto dynamical models on graphs using discrete optimal transport dynamics. We analyze the synchronization behaviors for some examples of Kuramoto models on graphs. We also provide a generalized Hopf-Cole transformation for discrete optimal transport systems. Focus on the two points graph, we derive analytical formulas of the Kuramoto dynamics with various potential induced from entropy functionals. Several numerical examples for the Kuramoto model on general graphs are presented.
Keywords
Cite
@article{arxiv.2203.00142,
title = {Mean field Kuramoto models on graphs},
author = {Wuchen Li and Hansol Park},
journal= {arXiv preprint arXiv:2203.00142},
year = {2022}
}