变质量非完整系统的形式不变性与Lie对称性  

Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System

作　　者：方建会[1] 陈培胜[1] 张军[1] 

机构地区：[1]石油大学应用物理系,山东东营257061

出　　处：《应用数学和力学》2005年第2期187-192,共6页Applied Mathematics and Mechanics

摘　　要：　研究变质量非完整系统的形式不变性和Lie对称性·　给出变质量非完整系统在无限小变换下形式不变性和Lie对称性的定义、判据及存在守恒量的定理,得到形式不变性和Lie对称性的关系。The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied. The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given. The relation between the form invariance and Lie symmetry is obtained. An example is given to illustrate the application of the result.

关 键 词：变质量 非完整系统 形式不变性 LIE对称性 

分 类 号：O316[理学—一般力学与力学基础]