Lie Symmetries and Non-Noether Conserved Quantities of Nonholonomic Systems
A new conservation theorem of the nonholonomic systems is studied. The conserved quantity is onlyconstructed in terms of a general Lie group of transformation vector of the dynamical equations. Firstly, we establish thedynamical equations of the nonholonomic systems and the determining equations of Lie symmetry. Next, the theore mof non-Noether conserved quantity is deduced. Finally, we give an example to illustrate the application of the result.
作 者： ZHANG Hong-Bin CHEN Li-Qun GU Shu-long 作者单位： ZHANG Hong-Bin(Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Department of Physics, Chaohu Teacher's College, Chaohu 238000, China)CHEN Li-Qun(Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
GU Shu-long(Department of Physics, Chaohu Teacher's College, Chaohu 238000, China)
刊 名： 理论物理通讯(英文版) ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2004 42(9) 分类号： 关键词： nonholonomic system Lie symmetry non-Noether conserved quantity