Research on the Feedback Control of a Novel Hyperchaotic System

A novel hyperchaotic system is reported in the paper, and the Lyapunov exponents, equilibrium, phase diagram and other dynamic behaviors of the system are analyzed. When the system is set up with certain parameters, it has two positive Lyapunov exponents, which further shows the system is hyperchaotic. Ordinary feedback control and dislocated linear feedback control are used to suppress hyperchaos to the unstable equilibrium. Numerical simulations results show the effectiveness of the proposed controller.