Bifurcation Analysis and Control of a Four-Wing Chaotic System

This paper presents a new chaotic system that exhibits a four-wing chaotic attractor. The Lyapunov exponent dimension and chaotic attractor of the system are get at first. Then, according to the high-dimensional Hopf bifurcation theory, the Hopf bifurcation characteristics of the system are analyzed. A nonlinear feedback controller with an equilibrium point is set to the system. By adjusting the control parameters, the Hopf bifurcation of the system occurs at the specified position and controls the amplitude of the limit cycle. Hopf bifurcation control of the system is realized.