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Effect of weighted scheme on synchronizability based on different network structures

Wang Dan Jing Yuan-Wei Hao Bin-Bin

Effect of weighted scheme on synchronizability based on different network structures

Wang Dan, Jing Yuan-Wei, Hao Bin-Bin
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  • Received Date:  30 November 2011
  • Accepted Date:  27 February 2012
  • Published Online:  05 September 2012

Effect of weighted scheme on synchronizability based on different network structures

  • 1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, Chinas;
  • 2. College of Information Science and Engineering, Northeastern University, Shenyang 110004, China
Fund Project:  Project support by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 61104029).

Abstract: Motivated by the observations that the weight of a link in realistic networks is strongly correlated with the product of the corresponding degrees, we present an asymmetrical weighted scheme relating to the degrees of starting point and terminal point, and investigate the effects of weighted scheme on synchronizability in light of different network structures. The results show that the more heterogeneous the degree distribution of network, the more remarkable the effect on enhanced synchronizability by the weighted method is. However, there is little effect on enhanced synchronizability by the weighted method for the homogeneous random network. It is shown that no matter whether small world networks or scale-free networks, the synchronizability is maximal when the total strength of all in-links of every node is equal to one.

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