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    A novel Chua-like hyperchaotic circuit with memcapacitor
    (Iop Publishing Ltd, 2026) Kalac, Sevgi Gursul; Hamamci, Serdar Ethem; Taskiran, Zehra Gulru Cam
    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.
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    Application and Modeling of a Novel 4D Memristive Chaotic System for Communication Systems
    (Springer Birkhauser, 2020) Sahin, Muhammet Emin; Taskiran, Zehra Gulru Cam; Guler, Hasan; Hamamci, Serdar Ethem
    In this paper, a new four-dimensional (4D) chaotic system which contains an active flux-controlled memristor characterized with a smooth continuous cubic nonlinearity is introduced. The objective is to obtain a 4D chaotic system which contains quadratic terms by using the memristor model which is designed as a new cubic emulator. A new chaotic circuit equation is obtained by using this emulator. The chaotic behavior of the system is observed both theoretically and graphically. The fundamental dynamics of the chaotic system are examined by using equilibrium points, phase portraits, Lyapunov exponents and bifurcation diagrams. The proportional-integral-derivative (PID) control design obtained using optimization algorithms is presented for memristor-based chaotic system. Firefly algorithm and genetic algorithm are used in PID control design for obtaining optimal PID controller gains that provides optimization between master and slave circuits. To verify system performance, this proposed PID-based chaotic circuit is used to communicate communication systems. Experimental results of this system are obtained and presented in real time.