物理学报2001，Vol.50Issue(1)：1-7,7.
准坐标下广义力学系统的Lie对称定理及其逆定理
LIE SYMMETRIES THEOREM AND ITS INVERSE OF GENERALIZED MECHANICAL SYSTEMS IN TERMS OF QUASI-COORDINATES
摘要
Abstract
In this paper, Lie symmetries and conserved quantities of generalized mechani cal systems in terms of quasi-coordinates were studied. First, the definition of an infinitesimal generator for the generalized mechanical systems in terms of quasi-coordinates were given, then the determining equations of the Lie symmet ries were established by using Lie's method of invariance of ordinary differ ential equations under infinitesimal transformations. Next, the structure equati o n and the form of conserved quantities were obtained. Finally, the inverse probl em of Lie symmetries systems were discussed and an example to illustrate the app lication of the result was given.关键词
广义力学/准坐标/Lie对称/确定方程/结构方程/守恒量引用本文复制引用
乔永芬,赵淑红..准坐标下广义力学系统的Lie对称定理及其逆定理[J].物理学报,2001,50(1):1-7,7.基金项目
黑龙江省自然科学基金(批准号：9507)资助的课题. Project supported by the Heilongjiang Natural Science Foundation, China (Grant No.9507). （批准号：9507）
