Effects of Weight on Structure and Dynamics in Complex Networks

Details Effects of Weight on Structure and Dynamics in Complex Networks Effects of Weight on Structure and Dynamics in Complex Networks

2006-01-22

arxiv.org/abs/cond-mat/0601495v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures

Scientific paper

Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects of random redistribution of link weights based on regular network with initial homogeneous weight. The small world effect emerges due to the weight randomization. Its effects on the dynamical systems coupled by weighted networks are also investigated. Randomization of weight can increase the transition temperature in Ising model and enhance the ability of synchronization of chaotic systems dramatically.

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