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Synchronization Reveals Topological Scales in Complex Networks

Alex Arenas, Albert Díaz-Guilera, and Conrad J. Pérez-Vicente
Phys. Rev. Lett. 96, 114102 – Published 22 March 2006
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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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  • Received 30 November 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.114102

©2006 American Physical Society

Authors & Affiliations

Alex Arenas1, Albert Díaz-Guilera2, and Conrad J. Pérez-Vicente2

  • 1Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain
  • 2Departament de Física Fonamental, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain

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Issue

Vol. 96, Iss. 11 — 24 March 2006

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