THE OPTIMUM OF SYNCHRONIZABILITY IN COMPLEX NETWORKS

Pei-Jie Ma () and Bing-Hong Wang
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Pei-Jie Ma: Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China;
Bing-Hong Wang: Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China;

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 10, 1255-1261

Abstract: In this brief report, we investigate the synchronizability of the complex network. In order to optimize the synchronizability, we propose a method by introducing a weight matrix, which makes the synchronized states stable for the widest range of the overall coupling strength. We give a proof in mathematics and gain the exact form of the weight matrix, which is equal toLβ. MatrixLis the one that describes the optimal network and matrix β is constructed by the eigenvalues and eigenvectors of the usual Laplacian matrix. This result may provide us insight into the synchronization of complex network more deeply.

Keywords: Complex network; Optimal synchronizibility; weight matrix; 89.75.Hc; 05.45.Xt (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183110015816

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