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

Author

Listed:
  • 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
    School of Software, Nanchang University, Nanchang 330031, China)

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.

Suggested Citation

  • Shuiyuan Huang & Gengsheng Deng & Lingfeng Liu & Xiangjun Li, 2023. "Technique for Enhancing the Chaotic Characteristics of Chaotic Maps Using Delayed Coupling and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(15), pages 1-20, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3295-:d:1203445
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    References listed on IDEAS

    as
    1. Jie Wang & Lingfeng Liu, 2022. "A Novel Chaos-Based Image Encryption Using Magic Square Scrambling and Octree Diffusing," Mathematics, MDPI, vol. 10(3), pages 1-28, January.
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