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Fractional Quantum Logistic Map And Its Application In Image Encryption Technology

Author

Listed:
  • ZE-YU LIU

    (College of Science, Northwest A&F University, Yangling District, Shaanxi 712100, P. R. China)

  • TIECHENG XIA

    (Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China)

  • YI-PING WANG

    (College of Science, Northwest A&F University, Yangling District, Shaanxi 712100, P. R. China)

Abstract

In this paper, a novel fractional quantum logistic map (FQLM) based on fractional difference is proposed and image encryption algorithm based on it are exploited. First, the FQLM is proposed and its dynamical behaviors are observed with bifurcation diagram, phase portraits and largest Lyapunov exponent plots. After that, the ECC is utilized to cover up the encryption keys and the FQLM is used for the permutation and diffusion process of image encryption. Finally, the cryptosystem is used in image encryption and the algorithm is analyzed in four respects, showing a distinct advantage of the proposed cryptosystem over some of existing ones.

Suggested Citation

  • Ze-Yu Liu & Tiecheng Xia & Yi-Ping Wang, 2021. "Fractional Quantum Logistic Map And Its Application In Image Encryption Technology," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-16, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21501966
    DOI: 10.1142/S0218348X21501966
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    Cited by:

    1. Borin, Daniel, 2024. "Caputo fractional standard map: Scaling invariance analyses," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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