Time Delayed Feedback Control for a Class of Hyper-chaotic Systems

We study the dynamic behavior of a new type of hyper-chaotic system and use the method of time delay control to achieve the purpose of the control system. This paper analyzes the stability and existence of the equilibrium point and discusses the cross-sectional conditions under which the balance point has Hopf bifurcation. Then we give the time delay value of the periodic solution generated by the system equilibrium point. Numerical examples are given to verify the theoretical results.