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Entropy
Volume 25
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10.3390/e25050818
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Article

Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients

by
Yanan Xing
1,2,
Wenjie Dong
3,
Jian Zeng
1,
Pengteng Guo
1,
Jing Zhang
1 and
Qun Ding
3,*
1
Electronic Engineering College, Heilongjiang University, Harbin 150080, China
2
Information Engineering College, Heilongjiang Polytechnic, Harbin 150080, China
3
Beijing Aerospace Institute of Automatic Control, Beijing 100854, China
*
Author to whom correspondence should be addressed.
Entropy 2023, 25(5), 818; https://doi.org/10.3390/e25050818
Submission received: 29 March 2023 / Revised: 14 May 2023 / Accepted: 17 May 2023 / Published: 18 May 2023
(This article belongs to the Topic Advances in Nonlinear Dynamics: Methods and Applications)
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Abstract

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.
Keywords: chaotic synchronization; generalized synchronization; chaotic hiding and anti-hiding; parameter control; transmission system chaotic synchronization; generalized synchronization; chaotic hiding and anti-hiding; parameter control; transmission system

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MDPI and ACS Style

Xing, Y.; Dong, W.; Zeng, J.; Guo, P.; Zhang, J.; Ding, Q. Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients. Entropy 2023, 25, 818. https://doi.org/10.3390/e25050818

AMA Style

Xing Y, Dong W, Zeng J, Guo P, Zhang J, Ding Q. Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients. Entropy. 2023; 25(5):818. https://doi.org/10.3390/e25050818

Chicago/Turabian Style

Xing, Yanan, Wenjie Dong, Jian Zeng, Pengteng Guo, Jing Zhang, and Qun Ding. 2023. "Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients" Entropy 25, no. 5: 818. https://doi.org/10.3390/e25050818

APA Style

Xing, Y., Dong, W., Zeng, J., Guo, P., Zhang, J., & Ding, Q. (2023). Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients. Entropy, 25(5), 818. https://doi.org/10.3390/e25050818

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