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

Shuang Zhou, Hongling Zhang, Yingqian Zhang, Herbert Ho-Ching Iu and Hao Zhang
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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

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 09, 1-28

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.

Keywords: Discrete hyperchaotic systems; pseudo-random sequence; image encryption (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S012918312550010X

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