Form invariance and Lie symmetry of equations of non-holonomic systems

被引：115

作者：

Wang, SY ^{[1
]}

Mei, FX ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

CHINESE PHYSICS | 2002年 / 11卷 / 01期

关键词：

analytical mechanics; non-holonomic mechanics; form invariance; Lie symmetry;

D O I：

10.1088/1009-1963/11/1/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：5 / 8

页数：4