Article,

Synchronization Reveals Topological Scales in Complex Networks

, , and .
Phys. Rev. Lett., 96 (11): 114102 (2006)
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.

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