High-complex chaotic system based on new nonlinear function and OTA-based circuit realization

This research proposes a chaotic system using a new modified rectangular nonlinear function based on the principle of the third-order jerk concept. The dynamic behaviors can be realized by manipulating only one parameter from periodic, non-periodic, single-scroll, and double-scroll attractors. The proposed chaotic system can achieve relatively high-complexity chaotic behavior, as evident in the comparatively high Kaplan-Yorke dimension (DKY = 2.43) with the existing jerk systems. The performances of the proposed chaotic system are also computed and simulated through the MATLAB numerical analysis, including scenarios of bifurcations branches, Lyapunov exponents, route to chaos, phase portraits, 0–1 test charts, and Poincaré map. The proposed system analyzes the coexistence of asymmetric or symmetric attractors confirmed with basins of attraction to highlight the presence of multiple attractors, which influence initial conditions. In addition, the system's offset boosting and amplitude control are included. Furthermore, a double-scroll attractor and a four-scroll attractor can also be achieved by placing nonlinear functions at different positions in the third-order system., The circuits of the proposed chaotic systems can be conveniently realized using commercially available operational transconductance amplifiers (OTAs) and capacitors. The performances of the circuit are also proven through the experimental results compared with the numerical results. The experimental results exhibit the ease of construction based on the new nonlinear function and are suitable for applying in the data encryptions.