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Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus

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  • Muhammad Ali Qureshi

    (University of Karachi)

  • Najeeb Alam Khan

    (University of Karachi)

Abstract

This paper presents a three-dimensional sinusoidal forcing memristor-based chaotic model with one of its phase portrait trajectories visualized as a face or clown face. The developed novel chaotic model stability and its nature are analyzed using mathematical tools under the lights of Lyapunov exponents, maximal Lyapunov, Routh–Hurwitz criterion, and eigenvalues. The chaotic dynamics and richness of the pattern formation of novel coupled differential equations were numerically explored using different schemes, namely Caputo, Caputo–Fabrizio, and Atangana–Baleanu Caputo fractional derivatives. The electronic realization of the developed memristive-based model is presented with operational amplifiers and other passive electronic components, showing significant agreement with the numerical solution. The 3D system was chaotic, and its generated random numbers were tested with 0–1 chaos and NIST Suit tests. The randomness of the generated data is utilized to do DNA encryption as a method of encrypting data, with two dissimilar keys to scramble the image. The outcomes of the novel encryption method are demonstrated in three different ways (Pepper I, II, and III) and tested with standard image statistical tools. Graphical abstract

Suggested Citation

  • Muhammad Ali Qureshi & Najeeb Alam Khan, 2024. "Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-16, May.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:5:d:10.1140_epjb_s10051-024-00694-4
    DOI: 10.1140/epjb/s10051-024-00694-4
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    References listed on IDEAS

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    1. Dominique Guegan, 2007. "Chaos in economics and finance," Documents de travail du Centre d'Economie de la Sorbonne b07054, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jan 2009.
    2. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
    3. Bas, Erdal & Ozarslan, Ramazan, 2018. "Real world applications of fractional models by Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 121-125.
    4. Bin Mu & Bo Qin & Shijin Yuan & Xiaoyun Qin, 2020. "A Climate Downscaling Deep Learning Model considering the Multiscale Spatial Correlations and Chaos of Meteorological Events," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-17, November.
    5. Owolabi, Kolade M. & Hammouch, Zakia, 2019. "Spatiotemporal patterns in the Belousov–Zhabotinskii reaction systems with Atangana–Baleanu fractional order derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1072-1090.
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