Synchronization processes in complex networks
Adaptation and Self-Organizing Systems
2009-11-11 v1 Disordered Systems and Neural Networks
Physics and Society
Abstract
We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to well defined communities of nodes appear in a hierarchical way. The analysis also provides a useful connection between synchronization dynamics, complex networks topology and spectral graph analysis.
Cite
@article{arxiv.nlin/0610057,
title = {Synchronization processes in complex networks},
author = {Alex Arenas and Albert Diaz-Guilera and Conrad J. Perez-Vicente},
journal= {arXiv preprint arXiv:nlin/0610057},
year = {2009}
}
Comments
16 pages, 4 figures. To appear in Physica D "Special Issue on dynamics on complex networks"