Chaos Synchronization in Time-Dependent Duplex Networks
Though the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodical...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi-Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6159365 |
| _version_ | 1798043409068326912 |
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| author | Qian Liu Wenchen Han Lixing Lei Qionglin Dai Junzhong Yang |
| author_facet | Qian Liu Wenchen Han Lixing Lei Qionglin Dai Junzhong Yang |
| author_sort | Qian Liu |
| collection | DOAJ |
| description | Though the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodically between two single-layer networks. The alternations between two layers are characterized by the offset strength A and the switching frequency ω. We find that there are two dynamical regimes depending on ω. For high ω, the critical A for the stable complete synchronization is independent of ω and the fast-switching approximation suggests that the time-dependent duplex networks can be approximated by the time-independent duplex networks with effective coupling strength. For low ω, the critical A depends on ω nonmonotonically. At extremely low ω, the estimation of the critical A can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations. |
| first_indexed | 2024-04-11T22:48:40Z |
| format | Article |
| id | doaj.art-1d3b0f125c72483da5304b00eb5a5cf8 |
| institution | Directory Open Access Journal |
| issn | 1076-2787 1099-0526 |
| language | English |
| last_indexed | 2024-04-11T22:48:40Z |
| publishDate | 2019-01-01 |
| publisher | Hindawi-Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj.art-1d3b0f125c72483da5304b00eb5a5cf82022-12-22T03:58:38ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/61593656159365Chaos Synchronization in Time-Dependent Duplex NetworksQian Liu0Wenchen Han1Lixing Lei2Qionglin Dai3Junzhong Yang4School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaCollege of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610068, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaThough the complete chaos synchronization on single-layer networks has been well understood, it is still a challenge on multiplex networks. In this work, we study the complete chaos synchronization on time-dependent duplex networks in which interaction pattern among oscillators alternates periodically between two single-layer networks. The alternations between two layers are characterized by the offset strength A and the switching frequency ω. We find that there are two dynamical regimes depending on ω. For high ω, the critical A for the stable complete synchronization is independent of ω and the fast-switching approximation suggests that the time-dependent duplex networks can be approximated by the time-independent duplex networks with effective coupling strength. For low ω, the critical A depends on ω nonmonotonically. At extremely low ω, the estimation of the critical A can be obtained by a single-mode approximation taking one dominant transversal network mode to complete synchronization into considerations.http://dx.doi.org/10.1155/2019/6159365 |
| spellingShingle | Qian Liu Wenchen Han Lixing Lei Qionglin Dai Junzhong Yang Chaos Synchronization in Time-Dependent Duplex Networks Complexity |
| title | Chaos Synchronization in Time-Dependent Duplex Networks |
| title_full | Chaos Synchronization in Time-Dependent Duplex Networks |
| title_fullStr | Chaos Synchronization in Time-Dependent Duplex Networks |
| title_full_unstemmed | Chaos Synchronization in Time-Dependent Duplex Networks |
| title_short | Chaos Synchronization in Time-Dependent Duplex Networks |
| title_sort | chaos synchronization in time dependent duplex networks |
| url | http://dx.doi.org/10.1155/2019/6159365 |
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