Poincaré-Chetaev系统的积分不变量

Integral invariant of Poincaré-Chetaev system

研究Poincaré-Chetaev系统的积分不变量 ,包括Poincaré- Cartan积分不变量以及Poincaré线性积分不变量 利用Hamilton作用量的非等时变分和Poincaré-Chetaev方程来求这些积分不变量 ,得到系统的Poincaré线性积分不变量和Ｐｏｉｎｃａｒé-Cartan积分不变量 。

In this paper,the integral invariant of Poincaré Chetaev system including the Poincaré Cartan integral invariant and the Poincaré linear integral invariant is studied.The Poincaré cartan integral invariant and the Poincaré linear integral invariant of the Poincaré Chetaev system are obtained by using the formula of the asynchronous variation of Hamilton action and the Poincaré Chetaev equations.Finally,two examples to illustrate the application of the result are given.