New 4-D Hyperchaotic System Derived from the Rikitake 3-D System:Properties and Application

A novel 4D hyperchaotic system with two positive Lyapunov exponents is created from a Rikitake 3D system using a feedback control strategy. Several dynamical properties are investigated both theoretically and numerically, including phase, equilibrium points, divergence, root stability, and Lyapunov exponents. Additionally, using MATLAB 2021, the numerical simulation validates the veracity of the theoretical conclusions. Finally, Multisim 14.2 was used to simulate and build the electrical circuit for a new system.