完整非保守力学系统的Noether逆定理与Lie对称性逆问题  

Inverse Noether's Theorem and Inverse Problem of Lie Symmetries forHolonomic Nonconservative Mechanical Systems

作　　者：梅凤翔[1] 

机构地区：[1]北京理工大学应用力学系,北京100081

出　　处：《江西科学》1999年第4期197-202,共6页Jiangxi Science

基　　金：高等学校博士学科点专项基金

摘　　要：研究完整非保守系统的Lie 对称性逆问题:由已知积分寻求相应的Lie 对称变换.主要方法是,按Noether 逆定理由已知积分找到相应的Noether 广义准对称变换,再将所得变换代入Lie 对称性的确定方程来判断变换是否Lie 的.举例说明方法的应用.Studies the inverse problem of Lie symmetries for the holonomic nonconservative mechanical systems:find the corresponding Lie symmetrical transformations from a known integral.The essential method is following:using the inverse Noether's theorem seek the corresponding generalized Noether's quasi_symmetrical transformations from the known integral,substitute the generator of the transformations into the determining equations of Lie symmetries to verify whether they are satisfied.Gives the examples to illustrate the application of the result.

关 键 词：逆问题 完整非保守系统 李对称性 Noether逆定理 

分 类 号：O316[理学—一般力学与力学基础]