Conformal invariance for nonholonomic system of Chetaev's type with variable mass

被引：3
|
作者：
Huang, Wei-li [1 ,2 ]
Cai, Jian-le [2 ]
机构：
[1] Hunan City Univ, Dept Phys & Telecom Engn, Yiyang 413000, Hunan, Peoples R China
[2] Hangzhou Normal Univ, Coll Sci, Hangzhou 310018, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2012年 / 33卷 / 11期
基金：
中国国家自然科学基金;
关键词：
nonholonomic system; variable mass; conformal invariance; conserved quantity; MEI SYMMETRY; CONSERVED QUANTITIES; LIE SYMMETRY; LAW;
D O I：
10.1007/s10483-012-1631-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Conformal invariance and conserved quantities for a nonholonomic system of Chetaev's type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system's conformal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example.
引用
收藏
页码：1393 / 1402
页数：10
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