变质量完整力学系统的Lie对称与守恒量  

Lie Symmetries and Conserved Quantities of Holonomic Variable Mass Systems

作　　者：梅凤翔[1] 

机构地区：[1]北京理工大学应用力学系

出　　处：《应用数学和力学》1999年第6期592-596,共5页Applied Mathematics and Mechanics

基　　金：国家自然科学基金

摘　　要：研究变质量完整系统的Ｌｉｅ对称和守恒量·利用常微分方程在无限小变换下的不变性建立系统Ｌｉｅ对称的确定方程·给出结构方程和守恒量·举例说明结果的应用In this paper, the Lie symmetries and the conserved quantities of the holonomic variable mass systems are studied. By using the invariance of the ordinary differential equations under the infinitesimal transformations, the determining equations of the Lie symmetries of the systems are established, and the structure equation and the conserved quantities are given. And an example is given to illustrate the application of the result.

关 键 词：分析力学 守恒量 李对称 变质量完整系统 

分 类 号：O316[理学—一般力学与力学基础]