Synchronization reveals topological scales in complex networks

Details Synchronization reveals topological scales in complex networks Synchronization reveals topological scales in complex networks

2005-11-30

arxiv.org/abs/cond-mat/0511730v2

Physical Review Letters, vol. 96, 114102, (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.96.114102

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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