Symmetries and Mei conserved quantities of nonholonomic controllable mechanical systems

被引：0

作者：

Xia Li-Li ^{[1
]}

Li Yuan-Cheng ^{[1
]}

Wang Jing ^{[1
]}

Hou Qi-Bao ^{[1
]}

机构：

[1] China Univ Petr, Coll Phys Sci & Technol, Dongying 257061, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2006年 / 46卷 / 03期

关键词：

control; nonholonomic mechanical system; Mei symmetry; Noether symmetry; Lie symmetry; conserved quantity;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concentrates on studying the symmetries and a new type of conserved quantities called Mei conserved quantity. The criterions of the Mei symmetry, the Noether symmetry and the Lie symmetry are given. The conditions and the forms of the Mei conserved quantities deduced from these three symmetries are obtained. An example is given to illustrate the application of the result.

引用

页码：415 / 418

页数：4

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