Synchronizability of Multilayer Star and Star-Ring Networks

Synchronization of multilayer complex networks is one of the important frontier issues in network science. In this paper, we strictly derived the analytic expressions of the eigenvalue spectrum of multilayer star and star-ring networks and analyzed the synchronizability of these two networks by usin...

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Bibliographic Details
Published inDiscrete dynamics in nature and society Vol. 2020; no. 2020; pp. 1 - 20
Main Authors Deng, Yang, Yang, Feimei, Jia, Zhen
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2020
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Aircraft industry
Analysis
Computer simulation
Coupling
Eigenvalues
Interdisciplinary subjects
Interlayers
Multilayers
Networks
Numerical analysis
Social networks
Synchronism
United States
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Summary:Synchronization of multilayer complex networks is one of the important frontier issues in network science. In this paper, we strictly derived the analytic expressions of the eigenvalue spectrum of multilayer star and star-ring networks and analyzed the synchronizability of these two networks by using the master stability function (MSF) theory. In particular, we investigated the synchronizability of the networks under different interlayer coupling strength, and the relationship between the synchronizability and structural parameters of the networks (i.e., the number of nodes, intralayer and interlayer coupling strengths, and the number of layers) is discussed. Finally, numerical simulations demonstrated the validity of the theoretical results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1026-0226
1607-887X
DOI:10.1155/2020/9143917