Partial synchronizability characterized by principal quasi-submatrices corresponding to clusters
type: Item
instance of: scholarly article
title: Partial synchronizability characterized by principal quasi-submatrices corresponding to clusters
zbMATH Open document ID: 1474.34368
DOI: 10.1155/2014/584790
author: Gang Zhang
author: Yi Wang
author: Jianbao Zhang
author: Zhongjun Ma
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34D35
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 7022658
MaRDI profile type: Publication
Wikidata QID: Q59039654
full work available at URL: https://doi.org/10.1155/2014/584790
OpenAlex ID: W2155875046
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description: scientific article; zbMATH DE number 7022658