Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients
In this paper, taking the generalized synchronization problem of discrete chaotic systems as a starting point, a generalized synchronization method incorporating error-feedback coefficients into the controller based on the generalized chaos synchronization theory and stability theorem for nonlinear...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/5/818 |
| _version_ | 1797600201293168640 |
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| author | Yanan Xing Wenjie Dong Jian Zeng Pengteng Guo Jing Zhang Qun Ding |
| author_facet | Yanan Xing Wenjie Dong Jian Zeng Pengteng Guo Jing Zhang Qun Ding |
| author_sort | Yanan Xing |
| collection | DOAJ |
| description | In this paper, taking the generalized synchronization problem of discrete chaotic systems as a starting point, a generalized synchronization method incorporating error-feedback coefficients into the controller based on the generalized chaos synchronization theory and stability theorem for nonlinear systems is proposed. Two discrete chaotic systems with different dimensions are constructed in this paper, the dynamics of the proposed systems are analyzed, and finally, the phase diagrams, Lyapunov exponent diagrams, and bifurcation diagrams of these are shown and described. The experimental results show that the design of the adaptive generalized synchronization system is achievable in cases in which the error-feedback coefficient satisfies certain conditions. Finally, a chaotic hiding image encryption transmission system based on a generalized synchronization approach is proposed, in which an error-feedback coefficient is introduced into the controller. |
| first_indexed | 2024-03-11T03:46:17Z |
| format | Article |
| id | doaj.art-f92fe55f6f284636b34c3035befd5145 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T03:46:17Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-f92fe55f6f284636b34c3035befd51452023-11-18T01:16:50ZengMDPI AGEntropy1099-43002023-05-0125581810.3390/e25050818Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback CoefficientsYanan Xing0Wenjie Dong1Jian Zeng2Pengteng Guo3Jing Zhang4Qun Ding5Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaBeijing Aerospace Institute of Automatic Control, Beijing 100854, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaBeijing Aerospace Institute of Automatic Control, Beijing 100854, ChinaIn this paper, taking the generalized synchronization problem of discrete chaotic systems as a starting point, a generalized synchronization method incorporating error-feedback coefficients into the controller based on the generalized chaos synchronization theory and stability theorem for nonlinear systems is proposed. Two discrete chaotic systems with different dimensions are constructed in this paper, the dynamics of the proposed systems are analyzed, and finally, the phase diagrams, Lyapunov exponent diagrams, and bifurcation diagrams of these are shown and described. The experimental results show that the design of the adaptive generalized synchronization system is achievable in cases in which the error-feedback coefficient satisfies certain conditions. Finally, a chaotic hiding image encryption transmission system based on a generalized synchronization approach is proposed, in which an error-feedback coefficient is introduced into the controller.https://www.mdpi.com/1099-4300/25/5/818chaotic synchronizationgeneralized synchronizationchaotic hiding and anti-hidingparameter controltransmission system |
| spellingShingle | Yanan Xing Wenjie Dong Jian Zeng Pengteng Guo Jing Zhang Qun Ding Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients Entropy chaotic synchronization generalized synchronization chaotic hiding and anti-hiding parameter control transmission system |
| title | Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients |
| title_full | Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients |
| title_fullStr | Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients |
| title_full_unstemmed | Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients |
| title_short | Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients |
| title_sort | study of generalized chaotic synchronization method incorporating error feedback coefficients |
| topic | chaotic synchronization generalized synchronization chaotic hiding and anti-hiding parameter control transmission system |
| url | https://www.mdpi.com/1099-4300/25/5/818 |
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