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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/9143917 |
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| _version_ | 1832566044038791168 |
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| author | Yang Deng Zhen Jia Feimei Yang |
| author_facet | Yang Deng Zhen Jia Feimei Yang |
| author_sort | Yang Deng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-10af0b9596114dbf9494c9f1a5926e6a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-10af0b9596114dbf9494c9f1a5926e6a2025-02-03T01:05:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/91439179143917Synchronizability of Multilayer Star and Star-Ring NetworksYang Deng0Zhen Jia1Feimei Yang2College of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, ChinaSynchronization 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.http://dx.doi.org/10.1155/2020/9143917 |
| spellingShingle | Yang Deng Zhen Jia Feimei Yang Synchronizability of Multilayer Star and Star-Ring Networks Discrete Dynamics in Nature and Society |
| title | Synchronizability of Multilayer Star and Star-Ring Networks |
| title_full | Synchronizability of Multilayer Star and Star-Ring Networks |
| title_fullStr | Synchronizability of Multilayer Star and Star-Ring Networks |
| title_full_unstemmed | Synchronizability of Multilayer Star and Star-Ring Networks |
| title_short | Synchronizability of Multilayer Star and Star-Ring Networks |
| title_sort | synchronizability of multilayer star and star ring networks |
| url | http://dx.doi.org/10.1155/2020/9143917 |
| work_keys_str_mv | AT yangdeng synchronizabilityofmultilayerstarandstarringnetworks AT zhenjia synchronizabilityofmultilayerstarandstarringnetworks AT feimeiyang synchronizabilityofmultilayerstarandstarringnetworks |