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Synchronizability of Duplex Networks
Li, Yang1; Wu, Xiaoqun1; Lu, Jun-an1; Lu, Jinhu2
2016-02-01
发表期刊IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
ISSN1549-7747
卷号63期号:2页码:206-210
摘要This brief presents some rules and properties about synchronizability of duplex networks composed of two networks interconnected by two links. For a specific duplex network composed of two star networks, analytical expressions containing the largest and smallest nonzero eigenvalues of the (weighted) Laplacian matrix, the interlink weight, and the network size are given for three different interlayer connection patterns. It is shown that connection patterns have great influence on the ability of the duplex system to synchronize, and connecting high-degree nodes is the most effective way to achieve synchronization, while connecting low-degree nodes is the least. Numerical examples are also provided to verify the effectiveness of theoretical analysis. This work sheds new light on understanding synchronizability of groups of interconnected networks or networks of networks (NONs). Particularly, in the design of circuit networks such as power grids, the findings can facilitate engineers with optimal selections of interconnection patterns and parameter assignments, in terms of optimizing the stability of desired synchronous states and minimizing control cost.
关键词Duplex network interlink weight networks of networks (NONs) synchronizability
DOI10.1109/TCSII.2015.2468924
语种英语
资助项目National Natural Science Foundation of China[61174028] ; National Natural Science Foundation of China[11172215] ; National Natural Science Foundation of China[61203159]
WOS研究方向Engineering
WOS类目Engineering, Electrical & Electronic
WOS记录号WOS:000370533000018
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/22094
专题系统科学研究所
通讯作者Wu, Xiaoqun
作者单位1.Wuhan Univ, Sch Math & Stat, Hubei 430072, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
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GB/T 7714
Li, Yang,Wu, Xiaoqun,Lu, Jun-an,et al. Synchronizability of Duplex Networks[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,2016,63(2):206-210.
APA Li, Yang,Wu, Xiaoqun,Lu, Jun-an,&Lu, Jinhu.(2016).Synchronizability of Duplex Networks.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,63(2),206-210.
MLA Li, Yang,et al."Synchronizability of Duplex Networks".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 63.2(2016):206-210.
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