中国物理B ›› 2002, Vol. 11 ›› Issue (1): 5-8.doi: 10.1088/1009-1963/11/1/302
王树勇, 梅凤翔
Wang Shu-Yong (王树勇), Mei Feng-Xiang (梅凤翔)
摘要: In this paper, we study the relation between the form invariance and Lie symmetry of non-holonomic systems. Firstly, we give the definitions and criteria of the form invariance and Lie symmetry in the systems. Next, their relation is deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry of non-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result.
中图分类号: (General theory of classical mechanics of discrete systems)