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

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  • Louzzani, Noura
  • Boukabou, Abdelkrim
  • Bahi, Halima
  • Boussayoud, Ali

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.

Suggested Citation

  • Louzzani, Noura & Boukabou, Abdelkrim & Bahi, Halima & Boussayoud, Ali, 2021. "A novel chaos based generating function of the Chebyshev polynomials and its applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s096007792100669x
    DOI: 10.1016/j.chaos.2021.111315
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    References listed on IDEAS

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    Cited by:

    1. Kavuran, Gürkan, 2022. "When machine learning meets fractional-order chaotic signals: detecting dynamical variations," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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