Symmetries and Mei Conserved Quantities of Nonholonomic Controllable Mechanical Systems  

作　　者：XIA Li-Li LI Yuan-Cheng WANG Jing HOU Qi-Bao 

机构地区：College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China

出　　处：《Communications in Theoretical Physics》2006年第3X期415-418,共4页理论物理通讯（英文版）

基　　金：The project supported by the Graduate Student＇s Innovative Foundation of China University of Petroleum （East China） under Grant No. S2006-31 .

摘　　要：This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symmetries are obtained. An example is given to illustrate the application of the result.

关 键 词：control nonholonomic mechanical system Mei symmetry Noether symmetry Lie symmetry conserved quantity 

分 类 号：O411[理学—理论物理]