Lie Symmetry and Generalized Mei Conserved Quantity for Nonconservative Dynamical System  

作　　者：JING Hong-Xing LI Yuan-Cheng 

机构地区：[1]College of Physical Science and Technology, China University of Petroleum （East China）, Dongying 257061, China

出　　处：《Communications in Theoretical Physics》2008年第5期1148-1150,共3页理论物理通讯（英文版）

摘　　要：Based on the total time derivative along the trajectory of the system, for noneonservative dynamical system, the generalized Mei conserved quantity indirectly deduced from the Lie symmetry of the system is studied. Firstly, the Lie symmetry of the system is given. Then, the necessary and sumeient condition under which the Lie symmetry is a Mei symmetry is presented and the generalized Mei conserved quantity indirectly deduced from the Lie symmetry of the system is obtained. Lastly, an example is given to illustrate the application of the result.

关 键 词：Lie symmetry Mei symmetry generalized Mei conserved quantity nonconservative dynamicalsystem 

分 类 号：O412.1[理学—理论物理]