渐近积分法的一个推广应用

An Extended Application of the Asymptotic Integral Method

本文用文[1、2]提出的渐近积分法寻求一类强非线性系统周期解的一次近似表达式；定量给出系统存在极限环的参数域以及极限环振幅随参数的变化规律．

In this paper, the asymptotic integral method presented in [1, 2]is used to find one-order approximate expression of the periodical solution for a class of strongly nonlinear system. We obtain qantitatively the parameter range for the existence of a limit cycle and the dependence between the amplitude of a limit cycle and the parameter.