Synchronization processes in complex networks

A. Arenas,A. Díaz-Guilera,C. Pérez-Vicente

Published 2006 in Physica D: Nonlinear Phenomena

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.

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