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2014 Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters
Gang Zhang, Zhongjun Ma, Yi Wang, Jianbao Zhang
Abstr. Appl. Anal. 2014(SI38): 1-9 (2014). DOI: 10.1155/2014/584790


A partial synchronization problem in an oscillator network is considered. The concept on a principal quasi-submatrix corresponding to the topology of a cluster is proposed for the first time to study partial synchronization. It is shown that partial synchronization can be realized under the condition depending on the principal quasi-submatrix, but not distinctly depending on the intercluster couplings. Obviously, the dimension of any principal quasi-submatrix is usually far less than the one of the network topology matrix. Therefore, our criterion provides us a novel index of partial synchronizability, which reduces the network size when the network is composed of a great mount of nodes. Numerical simulations are carried out to confirm the validity of the method.


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Gang Zhang. Zhongjun Ma. Yi Wang. Jianbao Zhang. "Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters." Abstr. Appl. Anal. 2014 (SI38) 1 - 9, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022658
MathSciNet: MR3240550
Digital Object Identifier: 10.1155/2014/584790

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI38 • 2014
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