Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-11-30
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.
Arenas Alex
Diaz-Guilera Albert
Perez-Vicente Conrad J.
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