Lie symmetries and non-noether conserved quantities of nonholonomic systems

被引：0

作者：

Zhang, HB ^{[1
]}

Chen, LQ

Gu, SL

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

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

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2004年 / 42卷 / 03期

关键词：

nonholonomic system; Lie symmetry; non-Noether conserved quantity;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new conservation theorem of the nonholonomic systems is studied. The conserved quantity is only constructed in terms of a general Lie group of transformation vector of the dynamical equations. Firstly, we establish the dynamical equations of the nonholonomic systems and the determining equations of Lie symmetry. Next, the theorem of non-Noether conserved quantity is deduced. Finally, we give an example to illustrate the application of the result.

引用

页码：321 / 324

页数：4

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