Design a 7D Hyperchaotic System and Implementation of its Electronic Circuit

This paper introduces a new seven-dimensional continuous system with 14 terms derived from a six-dimensional system through nonlinear state feedback control strategies. The system exhibits hyperchaotic behavior, identified by five positive Lyapunov exponents. It displays a rich variety of dynamic behaviors, including periodic, quasi-periodic, chaotic, and hyperchaotic responses, influenced by changes in parameters and initial conditions. The system's dynamics were analyzed using theoretical methods and numerical simulations, such as phase portraits, the Kaplan-Yorke dimension, and bifurcation diagrams. Moreover, the system was implemented as an analog electronic circuit and validated with an oscilloscope, showing good agreement between simulations conducted in MATLAB 2023 and Multisim 14.3.