Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type

被引：9
|
作者：
Zhang, Yaoyu [1 ]
Zhang, Fang [1 ]
Han, Yuelin [2 ]
Jia, Liqun [2 ]
机构：
[1] Pingdingshan Univ, Elect & Informat Engn Coll, Pingdingshan 467002, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 77卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Appell equation; Mei-conserved quantity; Conformal invariance; Nonholonomic system of Chetaev's type; VARIABLE MASS SYSTEMS; LIE SYMMETRIES; ADIABATIC INVARIANTS; PERTURBATION;
D O I：
10.1007/s11071-014-1314-4
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
For a nonholonomic system of Chetaev's type, the conformal invariance and the conserved quantity of Mei symmetry for Appell equations are investigated. First, under the infinitesimal one-parameter transformations of group and the infinitesimal generator vectors, Mei symmetry and conformal invariance of differential equations of motion for the system are defined, and the determining equation of Mei symmetry and conformal invariance for the system are given. Then, by means of the structure equation to which the gauge function is satisfied, the Mei-conserved quantity corresponding to the system is derived. Finally, an example is given to illustrate the application of the result.
引用
收藏
页码：521 / 527
页数：7
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