FRACTIONAL QUANTUM LOGISTIC MAP AND ITS APPLICATION IN IMAGE ENCRYPTION TECHNOLOGY

Ze-Yu Liu, Tiecheng Xia () and Yi-Ping Wang ()
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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

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-16

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.

Keywords: Bifurcation; Discrete Fractional Calculus; Fractional Quantum Logistic Map; Image Encryption; Elliptic Curve Cryptosystem (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501966

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