A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold
In this paper, a general criterion for unidirectionally coupled generalized chaotic synchronization between the response system and the original chaotic system in the form of a desired manifold is presented. The expression of the response system constructed with linear error feedback is given, and t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/5088434 |
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| _version_ | 1832563109377605632 |
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| author | Xiang Yu Zhaolun Zuo Shijian Zhu Xuxin Zhang |
| author_facet | Xiang Yu Zhaolun Zuo Shijian Zhu Xuxin Zhang |
| author_sort | Xiang Yu |
| collection | DOAJ |
| description | In this paper, a general criterion for unidirectionally coupled generalized chaotic synchronization between the response system and the original chaotic system in the form of a desired manifold is presented. The expression of the response system constructed with linear error feedback is given, and the validity of the criterion is proved based on the Lyapunov stability theory. Two numerical examples are used to construct unidirectional coupled chaotic systems in the form of different types of manifolds. Numerical simulation is carried out to verify the feasibility of the construction method and the criterion. |
| format | Article |
| id | doaj-art-a4fb965f6ee34c5bbc46d4e4f491f15b |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a4fb965f6ee34c5bbc46d4e4f491f15b2025-02-03T01:21:05ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/5088434A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired ManifoldXiang Yu0Zhaolun Zuo1Shijian Zhu2Xuxin Zhang3College of Naval Architecture and OceanCollege of Power EngineeringCollege of Naval Architecture and OceanCollege of Power EngineeringIn this paper, a general criterion for unidirectionally coupled generalized chaotic synchronization between the response system and the original chaotic system in the form of a desired manifold is presented. The expression of the response system constructed with linear error feedback is given, and the validity of the criterion is proved based on the Lyapunov stability theory. Two numerical examples are used to construct unidirectional coupled chaotic systems in the form of different types of manifolds. Numerical simulation is carried out to verify the feasibility of the construction method and the criterion.http://dx.doi.org/10.1155/2022/5088434 |
| spellingShingle | Xiang Yu Zhaolun Zuo Shijian Zhu Xuxin Zhang A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold Advances in Mathematical Physics |
| title | A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold |
| title_full | A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold |
| title_fullStr | A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold |
| title_full_unstemmed | A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold |
| title_short | A General Criterion for Unidirectionally Coupled Generalized Chaotic Synchronization with a Desired Manifold |
| title_sort | general criterion for unidirectionally coupled generalized chaotic synchronization with a desired manifold |
| url | http://dx.doi.org/10.1155/2022/5088434 |
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