Technique for Enhancing the Chaotic Characteristics of Chaotic Maps Using Delayed Coupling and Its Application in Image Encryption

Shuiyuan Huang, Gengsheng Deng (), Lingfeng Liu () and Xiangjun Li
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Shuiyuan Huang: School of Mathematics and Computer Science, Nanchang University, Nanchang 330031, China
Gengsheng Deng: Network Center, Nanchang University, Nanchang 330031, China
Lingfeng Liu: School of Software, Nanchang University, Nanchang 330031, China
Xiangjun Li: School of Mathematics and Computer Science, Nanchang University, Nanchang 330031, China

Mathematics, 2023, vol. 11, issue 15, 1-20

Abstract: Chaotic systems are widely used in many scientific fields for their dynamic characteristics. This study proposes a new delayed coupling method, which not only disturbs the control coefficient in chaotic maps but also affects their function structure, such that using this improved method will produce chaotic maps with better effect. The numerical simulation results prove that the delayed coupling method can greatly improve the chaotic characteristics of chaotic maps. Furthermore, an image encryption algorithm based on the delayed coupling Logistic map is proposed. Several numerical simulations indicate that the image encryption algorithm has a high level of security, and can compete with other encryption algorithms.

Keywords: chaos; coupling; delayed state; image encryption (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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