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Synchronization reveals topological scales in complex networks

Alex Arenas·Albert Diaz-Guilera·Conrad J. Perez-Vicente
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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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Alex Arenas, Albert Diaz-Guilera, Conrad J. Perez-Vicente. 2005-12-01. Synchronization reveals topological scales in complex networks. https://doi.org/10.1103/physrevlett.96.114102

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