Lie symmetries and conserved quantities of nonholonomic systems with servoconstraints

被引：58

作者：

Mei, FX ^{[1
]}

机构：

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

来源：

ACTA PHYSICA SINICA | 2000年 / 49卷 / 07期

关键词：

nonholonomic system; servoconstraint; Lie symmetry; conserved quantity;

D O I：

10.7498/aps.49.1207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the invariance of the algebraic equations and the differential equations under the infinitesimal transformations, we study the Lie symmetries and conserved quantities of the nonholonomic systems with servoconstraints. We establish the determining equations,the restriction equations and the structure equation,and give the form of conserved quantities.

引用

页码：1207 / 1210

页数：4

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