Lie symmetries and conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints

被引：49

作者：

Zhang, HB ^{[1
]}

机构：

[1] Chaohu Teachers Coll, Dept Phys, Chaohu 238000, Peoples R China

来源：

CHINESE PHYSICS | 2002年 / 11卷 / 01期

关键词：

non-holonomic mechanical systems with unilateral Vacco constraints; Lie symmetry; conserved quantity;

D O I：

10.1088/1009-1963/11/1/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the Lie symmetries and the conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints. We give the conditions and the form of conserved quantities due to the Lie symmetries of the systems, and present the inverse problem of the above problem, i.e. finding the corresponding Lie symmetry transformation according to a given integral of the system. Finally, we give an example to illustrate the application of the results.

引用

页码：1 / 4

页数：4

共 18 条

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