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Phys. Rev. Lett. 94, 218701 (2005) [4 pages]

Synchronization is Enhanced in Weighted Complex Networks

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M. Chavez1,2, D.-U. Hwang1, A. Amann1,3, H. G. E. Hentschel4, and S. Boccaletti1
1Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6 - 50125 Florence, Italy
2Laboratoire de Neurosciences Cognitives et Imagerie Cérébrale (LENA) CNRS UPR-640, Hôpital de la Salpêtrière. 47 Bd. de l’Hôpital, 75651 Paris CEDEX 13, France
3Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany
4Physics Department, Emory University, Atlanta, Georgia 30322, USA

Received 22 November 2004; published 2 June 2005

The propensity for synchronization of complex networks with directed and weighted links is considered. We show that a weighting procedure based upon the global structure of network pathways enhances complete synchronization of identical dynamical units in scale-free networks. Furthermore, we numerically show that very similar conditions hold also for phase synchronization of nonidentical chaotic oscillators.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.218701
DOI:
10.1103/PhysRevLett.94.218701
PACS:
89.75.Hc, 89.75.-k, 05.45.Xt, 87.18.Sn