Synchronizability of Multi-Layer-Coupled Star-Composed Networks

In this paper, several multi-layer-coupled star-composed networks with similar symmetrical structures are defined by using the theory of graph operation. The supra-Laplacian matrix of the corresponding multi-layer networks is obtained according to the master stability equation (MSF). Two important i...

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Autores principales:	Haiping Gao, Jian Zhu, Xianyong Li, Xing Chen
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	interlayer coupling star-composed networks graph operation synchronizability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/86b468d281d948268f83ae801c9e2bea
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spelling	oai:doaj.org-article:86b468d281d948268f83ae801c9e2bea2021-11-25T19:07:45ZSynchronizability of Multi-Layer-Coupled Star-Composed Networks10.3390/sym131122242073-8994https://doaj.org/article/86b468d281d948268f83ae801c9e2bea2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2224https://doaj.org/toc/2073-8994In this paper, several multi-layer-coupled star-composed networks with similar symmetrical structures are defined by using the theory of graph operation. The supra-Laplacian matrix of the corresponding multi-layer networks is obtained according to the master stability equation (MSF). Two important indexes that reflect the synchronizability of these kinds of networks are derived in the case of bounded and unbounded synchronized regions. The relationships among the synchronizability, the number of layers, the length of the paths, the branchings, and the interlayer and intralayer coupling strengths in the two cases are studied. At the same time, the simulation experiments are carried out with the MATLAB software, and the simulated images of the two symmetrical structure networks’ synchronizability are compared. Finally, the factors affecting the synchronizability of multi-layer-coupled star-composed networks are found. On this basis, optimization schemes are given to improve the synchronizability of multi-layer-coupled star-composed networks and the influences of the number of central nodes on the networks’ synchronizability are further studied.Haiping GaoJian ZhuXianyong LiXing ChenMDPI AGarticleinterlayer couplingstar-composed networksgraph operationsynchronizabilityMathematicsQA1-939ENSymmetry, Vol 13, Iss 2224, p 2224 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	interlayer coupling star-composed networks graph operation synchronizability Mathematics QA1-939
spellingShingle	interlayer coupling star-composed networks graph operation synchronizability Mathematics QA1-939 Haiping Gao Jian Zhu Xianyong Li Xing Chen Synchronizability of Multi-Layer-Coupled Star-Composed Networks
description	In this paper, several multi-layer-coupled star-composed networks with similar symmetrical structures are defined by using the theory of graph operation. The supra-Laplacian matrix of the corresponding multi-layer networks is obtained according to the master stability equation (MSF). Two important indexes that reflect the synchronizability of these kinds of networks are derived in the case of bounded and unbounded synchronized regions. The relationships among the synchronizability, the number of layers, the length of the paths, the branchings, and the interlayer and intralayer coupling strengths in the two cases are studied. At the same time, the simulation experiments are carried out with the MATLAB software, and the simulated images of the two symmetrical structure networks’ synchronizability are compared. Finally, the factors affecting the synchronizability of multi-layer-coupled star-composed networks are found. On this basis, optimization schemes are given to improve the synchronizability of multi-layer-coupled star-composed networks and the influences of the number of central nodes on the networks’ synchronizability are further studied.
format	article
author	Haiping Gao Jian Zhu Xianyong Li Xing Chen
author_facet	Haiping Gao Jian Zhu Xianyong Li Xing Chen
author_sort	Haiping Gao
title	Synchronizability of Multi-Layer-Coupled Star-Composed Networks
title_short	Synchronizability of Multi-Layer-Coupled Star-Composed Networks
title_full	Synchronizability of Multi-Layer-Coupled Star-Composed Networks
title_fullStr	Synchronizability of Multi-Layer-Coupled Star-Composed Networks
title_full_unstemmed	Synchronizability of Multi-Layer-Coupled Star-Composed Networks
title_sort	synchronizability of multi-layer-coupled star-composed networks
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/86b468d281d948268f83ae801c9e2bea
work_keys_str_mv	AT haipinggao synchronizabilityofmultilayercoupledstarcomposednetworks AT jianzhu synchronizabilityofmultilayercoupledstarcomposednetworks AT xianyongli synchronizabilityofmultilayercoupledstarcomposednetworks AT xingchen synchronizabilityofmultilayercoupledstarcomposednetworks
_version_	1718410288075636736

Synchronizability of Multi-Layer-Coupled Star-Composed Networks

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