采用Lindstedt—Poincare方法的一点注解

A Note on Using Lindstedt-Poincare Method

采用经典的Lindestedt—Poincare摄动法求得的非线性振动系统的周期解是稳态解，与系统的初始条件无关．同时指出Mickens通过初始条件确定的周期解与Nayfeh不用初始条件而获得的解其实是一致的．

It is pointed out that the periodic solution of a nonlinear vibrating system,which is obtained by using the classical Lindstedt-Poincare method, is a steady state solution. This solution is independent of the initial conditions of the system. It is also emphasized that the periodic solution obtained by Mickens, which is determined by adopting the initial conditions, is indeed identical with that of Nayfeh without using initial conditions.