Optimal synchronization of complex networks
Adaptation and Self-Organizing Systems
2014-10-21 v5 Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay between network structure and oscillators' frequencies and can be readily optimized. We highlight its utility in two general problems: constrained frequency allocation and network design. In general, we find that synchronization is promoted by strong alignments between frequencies and the dominant Laplacian eigenvectors, as well as a matching between the heterogeneity of frequencies and network structure.
Cite
@article{arxiv.1402.7337,
title = {Optimal synchronization of complex networks},
author = {Per Sebastian Skardal and Dane Taylor and Jie Sun},
journal= {arXiv preprint arXiv:1402.7337},
year = {2014}
}
Comments
5 pages, 4 figures