Improving consensus and synchronizability of networks of coupled systems via adding links

Degang Xu, Yanjun Li and Tie-Jun Wu

Physica A: Statistical Mechanics and its Applications, 2007, vol. 382, issue 2, 722-730

Abstract: The problem of improving the consensus and synchronizability for weighted networks of dynamic systems via adding links among them is investigated in this paper. A weighted network entropy is introduced to measure the homogeneity of the weighted networks. The relationship between the homogeneity and the consensus and synchronizability is analyzed. A solution scheme is proposed to improve the consensus and synchronizability of the weighted networks through maximizing their homogeneity via adding as few links as possible. Weighted networks created from the Barrat model are tested by using the proposed scheme, and two commonly used link-adding approaches are selected to compare with this scheme. Computer simulation results show that the proposed link-adding scheme can enhance the consensus and the synchronizability of the weighted networks effectively and efficiently.

Keywords: Homogeneity; Consensus; Synchronizability; Weighted network entropy (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:382:y:2007:i:2:p:722-730

DOI: 10.1016/j.physa.2007.02.116

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