Synchronization reveals topological scales in complex networks
Disordered Systems and Neural Networks
2009-11-11 v2 Adaptation and Self-Organizing Systems
Abstract
We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular structures corresponding to well defined communities of nodes emerge in different time scales, ordered in a hierarchical way. The analysis also provides a useful connection between synchronization dynamics, complex networks topology and spectral graph analysis.
Cite
@article{arxiv.cond-mat/0511730,
title = {Synchronization reveals topological scales in complex networks},
author = {Alex Arenas and Albert Diaz-Guilera and Conrad J. Perez-Vicente},
journal= {arXiv preprint arXiv:cond-mat/0511730},
year = {2009}
}
Comments
4 pages, 3 figures