Stable fixed points in the Kuramoto model
Mathematical Physics
2010-10-06 v1 math.MP
Abstract
We develop a necessary condition for the existence of stable fixed points for the general network Kuramoto model, and use it to show that for the complete network the homogeneous model has no non-zero stable fixed point solution. This result provides further evidence that in the homogeneous case the zero fixed point has an attractor set consisting of the entire space minus a set of measure zero, a conjecture of Verwoerd and Mason (2007).
Cite
@article{arxiv.1010.0766,
title = {Stable fixed points in the Kuramoto model},
author = {Richard Taylor},
journal= {arXiv preprint arXiv:1010.0766},
year = {2010}
}
Comments
10 pages