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Coupling strength allocation for synchronization in complex networks using spectral graph theory

Liu, H., Cao, M. & Wu, C. W., May-2014, In : IEEE Transactions on Circuits and Systems I - Regular papers. 61, 5, p. 1520-1530 11 p.

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  • Coupling strength allocation for synchronization in complex networks using spectral

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DOI

Using spectral graph theory and especially its graph comparison techniques, we propose new methodologies to allocate coupling strengths to guarantee global complete synchronization in complex networks. The key step is that all the eigenvalues of the Laplacian matrix associated with a given network can be estimated by utilizing flexibly topological features of the network. The proposed methodologies enable the construction of different coupling-strength combinations in response to different knowledge about subnetworks. Adaptive allocation strategies can be carried out as well using only local network topological information. Besides formal analysis, we use simulation examples to demonstrate how to apply the methodologies to typical complex networks.
Original languageEnglish
Pages (from-to)1520-1530
Number of pages11
JournalIEEE Transactions on Circuits and Systems I - Regular papers
Volume61
Issue number5
Publication statusPublished - May-2014

ID: 15808098