Willis环脑动脉瘤系统的混沌分析及随机相位控制

摘要

In this paper, we investigate the influence of each parameter of Willis chaotic system on the system, and calculate the Lyapunov exponent of Willis chaotic system containing chaotic phase. The analysis of the influence of chaotic phase on the Willis system shows that the random phase can control chaos. We also analyze the differences in intensity among various noises. Finally, the effectiveness of the above method is verified through the analysis of integrating phase portraits and Poincaré surface.%研究了Willis环脑动脉瘤系统各参量对系统的影响。计算了含有随机相位的Willis环脑动脉瘤系统的Lyapunov指数，分析了随机相位和不同噪声强度对Willis环脑动脉瘤系统的影响。对相图、Poincaré截面的分析表明，可以利用随机相位对Willis环脑动脉瘤系统进行控制。