摘要
本文利用Poincare(1892—1899)关于周期解存在性的判据,以及摄动理论中的伸缩参数法,确定Duffing方程存在周期解的初始条件,并提出一种寻求该周期解的计算方法。该计算方法简单,便于编写计算机程序。
In this paper, using Poincare's criterion on the existence of the periodic solution and the stretched parameter method in the perturbation techniques, we present the initial condition which ensures Duffing's equation a periodic solution and the computing method which can be applied to obtain asymptotic periodic solution. The computing method is simple and easy to work out a computer program.
关键词
周期解
伸缩参数法
Periodic solution
stretched parameter method.
