A novel Chua-like hyperchaotic circuit with memcapacitor

Abstract

In this study, a novel modified Chua-like hyperchaotic circuit using the memcapacitor is presented. Since commercial memcapacitor production is currently unavailable, the previously designed equivalent circuit of the memcapacitor will be used in the chaotic circuit. The dynamic equations of the circuit are obtained, and therefore the effect of the memcapacitor is incorporated into the modified Chua circuit. The incorporation of both incremental and decremental configurations of the memcapacitor equivalent circuit into the chaotic system has enabled the successful realization of two distinct sets of chaotic attractors, demonstrating the versatility of the proposed design. Both experimental and simulation studies demonstrate that the newly designed hyperchaotic circuit driven by the memcapacitor generates the hyperchaotic complex oscillations and that the chaotic attractor is highly sensitive to the parameters and initial conditions. Dynamic analyses of the circuit such as Lyapunov exponents, bifurcation analyses, coexisting attractors, Fast Fourier Transform (FFT) spectra, complexity evaluation, and noise robustness analysis have also been successfully carried out. Additionally, the applicability of the proposed circuit in the field of secure communication has been verified through a chaos-based image encryption and decryption study, demonstrating strong performance in NPCR, UACI, and Shannon entropy tests. Compared to previously reported mem-element-based chaotic circuits, the proposed system distinguishes itself by exhibiting hyperchaotic behavior with coexisting attractors and by being verified through analog experimental implementation, demonstrating both its dynamical richness and practical hardware feasibility. The obtained results indicate that the proposed circuit possesses strong potential for use across a broad range of chaotic system applications.