A novel fractional nonautonomous chaotic circuit model and its application to image encryption

F.M. Kamal, A. Elsonbaty and A. Elsaid

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: A novel fractional nonautonomous system is proposed by introducing fractional order meminductor-memristor based circuit. Four circuit models are presented by different arrangements for the elements and the dynamic behaviors for each circuit are explored. It is observed that the four systems exhibit chaotic and hyperchaotic behaviors which have been verified using Lyapunov exponents. Bifurcation diagrams and phase portraits are employed to examine the effects of parameters variation on the qualitative dynamics of each model. An image encryption scheme is presented based on pseudo chaos orbit generated by two interval extensions of chaotic circuit model. The security analysis is carried out to verify the robustness and efficiency of the encryption scheme against possible attacks.

Keywords: Fractional differential equations; Nonautonomous chaotic system; Memristors; Meminductor; Image encryption (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000394

DOI: 10.1016/j.chaos.2021.110686

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