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Design and Implementation of a Novel Circuit-Based Memristive Non-autonomous Hyperchaotic System with Conservative and Offset Boosting for Applications to Image Encryption

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Abstract

The research on dissipative-chaotic systems has exhibited plenty of remarkable results for past few decades. But unfortunately, the attackers can quickly rebuild the attractors in dissipative systems, causing multiple information security issues. Compared to the dissipative system, the conservative system can efficiently prevent such external attacks due to the presence of flows without any attractors. Therefore, the study of conservative chaotic systems is essential for secure communications and engineering applications. Presently, a few studies are there for non-autonomous conservative systems based on simple memristor. For this reason, a circuit-based new simple memristor is designed and using this, a non-autonomous four-dimensional hyperchaotic conservative system without an equilibrium point is proposed in this paper. The hyperchaotic behavior and multiple offset boosting are explored by phase portraits, bifurcation diagrams, and Lyapunov exponent plots. It is found that due to the presence of applied stimuli, the proposed system also produces time-varying hyperchaos and offset boosting. Furthermore, different torus structures, triggered by initial conditions and control parameters are observed here as the prominent property of the conservative system. An analog circuit of the chaotic system is developed and executed experimentally to verify the correctness of the numerical model. Concurrently, a new algorithm for image encryption using the proposed hyperchaotic map is stated and the efficiency of this algorithm is confirmed by several security tests.

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Data availability

The datasets analyzed during the current study are available from the corresponding author on reasonable request.

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  1. School of Advanced Sciences, VIT-AP University, Amaravati, India

    Nune Pratyusha & Santanu Mandal

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  1. Nune Pratyusha
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  2. Santanu Mandal
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Pratyusha, N., Mandal, S. Design and Implementation of a Novel Circuit-Based Memristive Non-autonomous Hyperchaotic System with Conservative and Offset Boosting for Applications to Image Encryption. Circuits Syst Signal Process 42, 3812–3834 (2023). https://doi.org/10.1007/s00034-023-02322-5

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