van　der　Pol振子在负反馈作用下的动力性态分析

The Dynamical Behaviour Analysis of the van Der Pol Oscillator with the Negative Feedback

本文从非线性振动理论和反馈控制论的角度研究了ｖａｎｄｅｒＰｏｌ振子在负反馈作用下的动力性态，用中心流形法和形式级数法分析了ｖａｎｄｅｒＰｏｌ振子的局部稳定性和Ｈｏｐｆ分叉行为，用Ｒｕｎｇｅ─Ｋｕｔｔａ法给出了仿真结果。

In this paper, the dynamical behaviour of the van der Pol oscillator with the negative feedback is studied based on the nonlinear dynamics and the feedback control theory. The local stability and Hopf bifurcation behaviour are analysed by the center-manifold method and formal-Series method. The calculation results are brought about by Runge-Kutta method.