非完整力学系统Hamilton方程的Noether-Mei对称性与守恒量  

Noether-Mei Symmetry and Conserved Quantity for Hamilton Equations in Nonholonomic Mechanical Systems

作　　者：王廷志[1] 孙现亭[2] 贾利群[2] 

机构地区：[1]江南大学理学院,江苏无锡214122 [2]平顶山学院电气信息工程学院,平顶山467000

出　　处：《江南大学学报（自然科学版）》2014年第5期607-610,共4页Joural of Jiangnan University (Natural Science Edition)　

基　　金：国家自然科学基金项目(11142014)

摘　　要：在分析非完整力学系统Hamilton方程的Noether-Mei对称性与守恒量的基础上,给出该系统Hamilton方程的Noether-Mei对称性定义和判据,得到非完整力学系统Hamilton方程的Noether-Mei对称性导致的Noether守恒量和Mei守恒量,并给出应用算例。The noether-Mei symmetry and conserved quantity for Hamilton equations in nonholonomic mechanical systems are studied. The definition and criterion of the Noether-Mei symmetry for Hamilton equations in nonholonomie mechanical systems are provided,the Noether conserved quantity and Mei conserved quantity are obtained from the Noether-Mei symmetry. Finally an illustrative example is given to verify the results.

关 键 词：非完整力学系统 HAMILTON方程 Noether-Mei对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]