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Image Encryption Based On Two-Dimensional Fractional Quadric Polynomial Map

Author

Listed:
  • ZE-YU LIU

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

  • TIE-CHENG XIA

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

  • HUA-RONG FENG

    (School of Computer Science, Sichuan Technology and Business University, Chengdu 611745, Sichuan, P. R. China)

  • CHANG-YOU MA

    (Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, P. R. China)

Abstract

A new fractional two-dimensional quadric polynomial discrete chaotic map (2D-QPDM) with the discrete fractional difference is proposed. Afterwards, the new dynamical behaviors are observed, so that the bifurcation diagrams, the largest Lyapunov exponent plot and the phase portraits of the proposed map are given, respectively. The new discrete fractional map is exploited into color image encryption algorithm and it is illustrated with several examples. The proposed image encryption algorithm is analyzed in six aspects which indicates that the proposed algorithm is superior to other known algorithms as a conclusion.

Suggested Citation

  • Ze-Yu Liu & Tie-Cheng Xia & Hua-Rong Feng & Chang-You Ma, 2021. "Image Encryption Based On Two-Dimensional Fractional Quadric Polynomial Map," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(08), pages 1-16, December.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:08:n:s0218348x21400417
    DOI: 10.1142/S0218348X21400417
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    Cited by:

    1. Wang, Yupin & Li, Xiaodi & Wang, Da & Liu, Shutang, 2022. "A brief note on fractal dynamics of fractional Mandelbrot sets," Applied Mathematics and Computation, Elsevier, vol. 432(C).

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