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Constructing a novel n-dimensional chaotic map with application to image encryption

Author

Listed:
  • Shuang Zhou

    (School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China)

  • Hongling Zhang

    (School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China)

  • Yingqian Zhang

    (School of Electrical Engineering and Artificial Intelligence, Xiamen University, Malaysia, Sepang, 43900, Selangor, Malaysia)

  • Herbert Ho-Ching Iu

    (School of Electrical Electronic and Computing Engineering, The University of Western Australia, Crawley, WA, Australia)

  • Hao Zhang

    (College of Information and Computer, Taiyuan University of Technology, Taiyuan 030024, P. R. China)

Abstract

In this paper, we develop a novel n-dimensional discrete chaotic map. First, the chaotic behaviors of the proposed map are studied. Next, to illustrate the effectiveness of our map, the 4D hyperchaotic map as an example is analyzed using the phase diagram, Lyapunov exponents, bifurcation diagrams and different types of entropy, etc. Moreover, the chaotic signals generated by the proposed map passed the NIST test and were implemented on the hardware DSP. Finally, we apply our chaotic map in image encryption using true numbers and extended XOR. The experimental results express that the presented encryption algorithm has a higher level of security than same other sophisticated methods.

Suggested Citation

  • Shuang Zhou & Hongling Zhang & Yingqian Zhang & Herbert Ho-Ching Iu & Hao Zhang, 2025. "Constructing a novel n-dimensional chaotic map with application to image encryption," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 36(09), pages 1-28, September.
    • Handle: RePEc:wsi:ijmpcx:v:36:y:2025:i:09:n:s012918312550010x
    DOI: 10.1142/S012918312550010X
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