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Synchronization reveals topological scales in complex networks

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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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ARENAS, Àlex, DÍAZ GUILERA, Albert and PÉREZ-VICENTE, Conrado. Synchronization reveals topological scales in complex networks. Physical Review Letters. 2006. Vol. 96, num. 11, pags. 114102-1-114102-4. ISSN 0031-9007. [consulted: 22 of May of 2026]. Available at: https://hdl.handle.net/2445/13283

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