一非线性电路的HOPF分支

Hopf Bifurcation of a Nonlinear Circuit

用分支理论的Ляпунов第二方法，从平面自治系统奇点的性态角度出发研究一类非线性电路中自激振荡问题；以全新的视角分析电路中含伏安方程不明确的非线性元件构成的电路，并通过判别系统是否具有稳定的极限环来判断电路是否出现自激振荡，为电路的振荡性分析提供了一种新方法。

The self-excited oscillation of a nonlinear circuit is researched with the theory of Hopf bifurcation from the odd characters of the plane autonomous system. Nonlinear circuit consists of nonlinear component that without definite VAR is discussed with new angle of view. Whether a circuit has self-oscillation can be judged from whether the mathematical model has steady limit cycle or not. As a result, it is an effective way to analyze the oscillation of nonlinear circuit.