A new four-dimensional chaotic attractor

摘要

A new four-dimensional chaotic system is introduced in this paper, it is mainly consist of four multiplier terms. The fundamental characteristics of the new system are investigated by means of equilibrium points, their stabilities, and power spectrum. Furthermore, an optimal controller using Riccati equation is established to run trajectories to the origin. The dynamic of the new system is simulated using Matlab and Simulink.