Phase-locked Patterns of the Kuramoto Model on 3-Regular Graphs
Dynamical Systems
2016-09-21 v1 Disordered Systems and Neural Networks
Adaptation and Self-Organizing Systems
Abstract
We consider the existence of non-synchronized fixed points to the Kuramoto model defined on sparse networks: specifically, networks where each vertex has degree exactly three. We show that "most" such networks support multiple attracting phase-locked solutions that are not synchronized, and study the depth and width of the basins of attraction of these phase-locked solutions. We also show that it is common in "large enough" graphs to find phase-locked solutions where one or more of the links has angle difference greater than .
Keywords
Cite
@article{arxiv.1512.06140,
title = {Phase-locked Patterns of the Kuramoto Model on 3-Regular Graphs},
author = {Lee DeVille and Bard Ermentrout},
journal= {arXiv preprint arXiv:1512.06140},
year = {2016}
}