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Phys Rev Lett. 2006 Jan 27;96(3):034101. Epub 2006 Jan 23.

Universality in the synchronization of weighted random networks.

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1
Institute of Physics, University of Potsdam PF 601553, 14415 Potsdam, Germany.

Abstract

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the synchronizability of random networks with a large minimum degree is determined by two leading parameters: the mean degree and the heterogeneity of the distribution of node's intensity, where the intensity of a node, defined as the total strength of input connections, is a natural combination of topology and weights. Our results provide a possibility for the control of synchronization in complex networks by the manipulation of a few parameters.

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