Synchronization processes in complex networks

Details Synchronization processes in complex networks Synchronization processes in complex networks

2006-10-23

arxiv.org/abs/nlin/0610057v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

16 pages, 4 figures. To appear in Physica D "Special Issue on dynamics on complex networks"

Scientific paper

10.1016/j.physd.2006.09.029

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.

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