The Chaotic Analysis And Random Phase Control Of The Cerebral Aneurysm System

In this paper, we discuss two Cerebral aneurysm systems. The control method of random phase is applied to the two types of brain aneurysm system. We also Illustrate the effect of the control action. This paper mainly does the following several work.Firstly, this paper is devoted to investigate that each parameter of Willis chaotic system has an influence on the system, and calculates the Lyapunov exponent of Willis chaotic system containing chaotic phase.Secondly, the analysis of the influence of chaotic phase on the Cerebral aneurysm system shows that the random phase can control chaos. We also analyze the differences in intensity among various noises. The effectiveness of the above method is verified through the analysis of integrating phase portraits and Poincare surface.Finally, this paper is devoted to investigate the new chaotic system of Cerebral aneurysm system. We also analyze the influence of chaotic phase on the new system shows that the random phase can control chaos. We also analyze the differences in intensity among various noises. Numerical simulation confirms the feasibility of this method.