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arxiv: nlin/0610057 · v1 · submitted 2006-10-23 · 🌊 nlin.AO · cond-mat.dis-nn· physics.soc-ph

Synchronization processes in complex networks

classification 🌊 nlin.AO cond-mat.dis-nnphysics.soc-ph
keywords synchronizationanalysiscomplexnetworkscommunitiesdynamicsappearconnection
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We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to well defined communities of nodes appear 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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