A novel chaos based generating function of the Chebyshev polynomials and its applications in image encryption

Noura Louzzani, Abdelkrim Boukabou, Halima Bahi and Ali Boussayoud

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: In this paper, we propose a generating function for Chebyshev polynomials with typical period-doubling to chaos. In this context, the bifurcation diagram and Lyapunov exponent proved that the proposed generating function is a deterministic system that exhibits chaotic behavior for specific values of the control parameters. As an application, this proposed generating function is used as a chaos-based cryptosystem to encrypt different images. Security analysis demonstrated that the proposed generating function of the Chebyshev polynomials presents an excellent performance in image encryption against various attacks.

Keywords: Generating function; Chebyshev polynomials of the second kind; Chaos; Lyapunov exponent; Bifurcation diagram; Cryptosystem (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s096007792100669x

DOI: 10.1016/j.chaos.2021.111315

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