Synchronization reveals topological scales in complex networks
arXiv:cond-mat/0511730 · doi:10.1103/PhysRevLett.96.114102
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.
4 pages, 3 figures