Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks

The system model on synchronizability problem of complex networks with multi-layer structure is closer to the real network than the usual single-layer case. Based on the master stability equation (MSF), this paper studies the eigenvalue spectrum of two k-layer variable coupling windmill-type network...

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Autores principales:	Jian Zhu, Da Huang, Haijun Jiang, Jicheng Bian, Zhiyong Yu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multi-layer networks windmill-type coupling strength synchronizability Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8a6786e9e13b4370a9978629e283ca4e
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spelling	oai:doaj.org-article:8a6786e9e13b4370a9978629e283ca4e2021-11-11T18:16:35ZSynchronizability of Multi-Layer Variable Coupling Windmill-Type Networks10.3390/math92127212227-7390https://doaj.org/article/8a6786e9e13b4370a9978629e283ca4e2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2721https://doaj.org/toc/2227-7390The system model on synchronizability problem of complex networks with multi-layer structure is closer to the real network than the usual single-layer case. Based on the master stability equation (MSF), this paper studies the eigenvalue spectrum of two k-layer variable coupling windmill-type networks. In the case of bounded and unbounded synchronization domain, the relationships between the synchronizability of the layered windmill-type networks and network parameters, such as the numbers of nodes and layers, inter-layers coupling strength, are studied. The simulation of the synchronizability of the layered windmill-type networks are given, and they verify the theoretical results well. Finally, the optimization schemes of the synchronizability are given from the perspective of single-layer and multi-layer networks, and it was found that the synchronizability of the layered windmill-type networks can be improved by changing the parameters appropriately.Jian ZhuDa HuangHaijun JiangJicheng BianZhiyong YuMDPI AGarticlemulti-layer networkswindmill-typecoupling strengthsynchronizabilityMathematicsQA1-939ENMathematics, Vol 9, Iss 2721, p 2721 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multi-layer networks windmill-type coupling strength synchronizability Mathematics QA1-939
spellingShingle	multi-layer networks windmill-type coupling strength synchronizability Mathematics QA1-939 Jian Zhu Da Huang Haijun Jiang Jicheng Bian Zhiyong Yu Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
description	The system model on synchronizability problem of complex networks with multi-layer structure is closer to the real network than the usual single-layer case. Based on the master stability equation (MSF), this paper studies the eigenvalue spectrum of two k-layer variable coupling windmill-type networks. In the case of bounded and unbounded synchronization domain, the relationships between the synchronizability of the layered windmill-type networks and network parameters, such as the numbers of nodes and layers, inter-layers coupling strength, are studied. The simulation of the synchronizability of the layered windmill-type networks are given, and they verify the theoretical results well. Finally, the optimization schemes of the synchronizability are given from the perspective of single-layer and multi-layer networks, and it was found that the synchronizability of the layered windmill-type networks can be improved by changing the parameters appropriately.
format	article
author	Jian Zhu Da Huang Haijun Jiang Jicheng Bian Zhiyong Yu
author_facet	Jian Zhu Da Huang Haijun Jiang Jicheng Bian Zhiyong Yu
author_sort	Jian Zhu
title	Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
title_short	Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
title_full	Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
title_fullStr	Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
title_full_unstemmed	Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks
title_sort	synchronizability of multi-layer variable coupling windmill-type networks
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/8a6786e9e13b4370a9978629e283ca4e
work_keys_str_mv	AT jianzhu synchronizabilityofmultilayervariablecouplingwindmilltypenetworks AT dahuang synchronizabilityofmultilayervariablecouplingwindmilltypenetworks AT haijunjiang synchronizabilityofmultilayervariablecouplingwindmilltypenetworks AT jichengbian synchronizabilityofmultilayervariablecouplingwindmilltypenetworks AT zhiyongyu synchronizabilityofmultilayervariablecouplingwindmilltypenetworks
_version_	1718431896928518144

Synchronizability of Multi-Layer Variable Coupling Windmill-Type Networks

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