Entropy in the Kuramoto model and its implications for the stability of partially synchronized states
Pattern Formation and Solitons
2015-07-08 v3
Abstract
We discuss the concept of entropy applied to the infinite-N Kuramoto model and derive an expression for its time derivative. The time derivative of the entropy functional is shown to depend on the synchronization order parameter in a very simple way and, absent diffusion, it is never increasing. The implications of this for the stability of partially synchronized states is discussed. We conclude with a section on the entropy of the marginal density function averaged over all natural frequencies.
Keywords
Cite
@article{arxiv.1410.2849,
title = {Entropy in the Kuramoto model and its implications for the stability of partially synchronized states},
author = {Anders Nordenfelt},
journal= {arXiv preprint arXiv:1410.2849},
year = {2015}
}