摘要
本文研究广义力学系统的积分不变量理论．首先，给出广义力学中非保守系统的正则方程；其次，研究系统作用量的非等时变分；而后，建立广义力学的基本积分变量关系，给出广义力学系统的Ｐｏｉｎｃａｒ－Ｃａｒｔａｎ积分不变量和Ｐｏｉｎｃａｒ通用积分不变量。
This Paper studies integral invariant theory in generalized mechanics.Frist,the canonical wquations of nonconservative system in generalized mechanics are obtained. And then, the nonisochronic variation of action are studied. Finally, the basic integral variants in generalized mechanics are extended;and the integral invariand of Poincare-Cartan and the universal integral invariant of Poincare are obtained.
出处
《河南科学》
1996年第2期135-139,共5页
Henan Science
基金
河南省自然科学基金
关键词
广义力学
积分不变量
非保守系统
积分变量
Generalized mechanics,Integral invariant, Nonconservative system
