Abstract 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.
Received: 02 July 2001
Revised: 29 August 2001
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19972010).
Cite this article:
Wang Shu-Yong (王树勇), Mei Feng-Xiang (梅凤翔) Form invariance and Lie symmetry of equations of non-holonomic systems 2002 Chinese Physics 11 5
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