Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling
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 h...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6623648 |
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| _version_ | 1832561584526852096 |
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| author | Feimei Yang Zhen Jia Yang Deng |
| author_facet | Feimei Yang Zhen Jia Yang Deng |
| author_sort | Feimei Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a7f60a464cdd420c8b4c3d47dda020ef |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a7f60a464cdd420c8b4c3d47dda020ef2025-02-03T01:24:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66236486623648Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional CouplingFeimei Yang0Zhen Jia1Yang Deng2College of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Harbin Institute of Technology, Shenzhen 18213, ChinaIn 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.http://dx.doi.org/10.1155/2021/6623648 |
| spellingShingle | Feimei Yang Zhen Jia Yang Deng Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling Discrete Dynamics in Nature and Society |
| title | Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling |
| title_full | Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling |
| title_fullStr | Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling |
| title_full_unstemmed | Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling |
| title_short | Eigenvalue Spectrum and Synchronizability of Two Types of Double-Layer Star-Ring Networks with Hybrid Directional Coupling |
| title_sort | eigenvalue spectrum and synchronizability of two types of double layer star ring networks with hybrid directional coupling |
| url | http://dx.doi.org/10.1155/2021/6623648 |
| work_keys_str_mv | AT feimeiyang eigenvaluespectrumandsynchronizabilityoftwotypesofdoublelayerstarringnetworkswithhybriddirectionalcoupling AT zhenjia eigenvaluespectrumandsynchronizabilityoftwotypesofdoublelayerstarringnetworkswithhybriddirectionalcoupling AT yangdeng eigenvaluespectrumandsynchronizabilityoftwotypesofdoublelayerstarringnetworkswithhybriddirectionalcoupling |