Eigenvalue spectrum and synchronizability of two types of double-layer star-ring networks with hybrid directional coupling
type: Item
instance of: scholarly article
title: Eigenvalue spectrum and synchronizability of two types of double-layer star-ring networks with hybrid directional coupling
zbMATH Open document ID: 1471.34160
DOI: 10.1155/2021/6623648
author: Feimei Yang
author: Zhen Jia
author: Yang Deng
published in: Discrete Dynamics in Nature and Society
publication date: 2021-08-12T00:00:00Z
review text: Summary: In this study, we studied the eigenvalue spectrum and synchronizability of two types of double-layer hybrid directionally coupled star-ring networks, namely, the double-layer star-ring networks with the leaf node pointing to the hub node (Network I) and the double-layer star-ring networks with the hub node pointing to the leaf node (Network II). We strictly derived the eigenvalue spectrum of the supra-Laplacian matrix of these two types of networks and analyzed the relationship between the synchronizability and the structural parameters of networks based on the master stability function theory. Furthermore, the correctness of the theoretical results was verified through numerical simulations, and the optimum structural parameters were obtained to achieve the optimal synchronizability.
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 05C90
zbMATH DE Number: 7381286
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6623648
OpenAlex ID: W3167558821
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description: scientific article; zbMATH DE number 7381286