摘要
研究非完整系统的Ｌｉｅ对称性逆问题：根据已知积分求相应的Ｌｉｅ对称性。首先，由已知积分求出相应的Ｎｏｅｔｈｅｒ对称性；其次，由Ｎｏｅｔｈｅｒ对称性通过验证确定方程和限制方程来求得Ｌｉｅ对称性。具体研究了受Ｃｈｅｔａｅｖ型非完整约束系统的Ｌｉｅ对称性逆问题。
This paper discusses the inverse problem of lie symmetries of the nonholonomic mechanical systems and finds out the corresponding Lie symmetry on the basis of a known conserved quantity. First, Noether symmetry corresponding to the given conserved quantity needs to be found by Noether theory; second, the symmetry will be examined to see whether it is Lie symmetry or not in light of the determining equations and restriction equations. Furthermore, the nonholonomic mechanical systems with Chetaev's type constraints are studied.
出处
《苏州城建环保学院学报》
2000年第4期49-52,62,共5页
Journal of Suzhou Institute of Urban Construction and Environmental Protection
基金
北京市青年科技骨干培养基金
北方工业大学科研基金资助课题
关键词
分析力学
非完整系统
LIE对称性
守恒量
analytical mechanics
nonholonomic system
Lie symmetry
conservation law
