一类非线性振动系统的周期解及次调和解

A Kind of Period Solution and Subharmonic Solution of Nonlinear Viblation System

本文讨论了一类在自然界中广为存在的非线性振动系统的复杂运动规律。通过建立一新判断函数Ｚ（Ａ．θ），推广了Ｓ．Ｌｅｆｓｃｈｅｔｚ的周期理沦．并用得到的系列定理分析了非线性一类振动系统，所得理论证明包含了Ｓ．Ｌｅｆｅｃｈｅｔｚ理论的结果。

This paper discusses the complicated law of movement of a kind of nonlinear vibration system widly existing in nature.By making a new judgement fanction Z(A,0),it improves S.Lefschetz's period theory.and gets a series of theorems which analyses a kind of nonlinear vibration system and include the condusion of S.Lefschetz's theory.