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Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption

Author

Listed:
  • Junrong Guo

    (College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China)

  • Xiaolin Liu

    (College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China)

  • Ping Yan

    (College of Mathematics and Computer Science, Zhejiang A&F University, Hangzhou 311300, China
    Department of Mathematics and Statistics, University of Helsinki, FIN-00014 Helsinki, Finland)

Abstract

In this paper, we study the dynamic behavior of an impulse differential chaotic system which can be applied to image encryption. Combined with the chaotic characteristics of the high dimensional impulsive differential equations, the plaintext image can be encrypted by using the traditional Henon map and diffusion sequences encryption algorithm. The initial values and control parameters serve as keys for encryption algorithms, and the algorithm has a larger key space. The key is resistant to minor interference and the accuracy can reach 10 − 12 . The simulation results show that the impulsive differential chaotic system has a good application prospect in image encryption.

Suggested Citation

  • Junrong Guo & Xiaolin Liu & Ping Yan, 2023. "Dynamic Analysis of Impulsive Differential Chaotic System and Its Application in Image Encryption," Mathematics, MDPI, vol. 11(23), pages 1-18, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4835-:d:1291760
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    References listed on IDEAS

    as
    1. Huang, Chuangxia & Yang, Xiaoguang & Cao, Jinde, 2020. "Stability analysis of Nicholson’s blowflies equation with two different delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 201-206.
    2. Pavlova, O.N. & Pavlov, A.N., 2020. "Prediction of complex oscillations in the dynamics of coupled chaotic systems using transients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    Full references (including those not matched with items on IDEAS)

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