Noether-Lie symmetry and conserved quantities of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints

被引：2
|
作者：
Xu Chao [1 ]
Li Yuan-Cheng [1 ]
机构：
[1] China Univ Petr East China, Coll Phys, Qingdao 266580, Peoples R China
来源：
ACTA PHYSICA SINICA | 2013年 / 62卷 / 17期
关键词：
singular variable mass system; nonholonomic unilateral constraints; Nielsen equations; Noether-Lie symmetry; MECHANICAL SYSTEMS; MEI SYMMETRY; CONFORMAL-INVARIANCE; UNIFIED SYMMETRY;
D O I：
10.7498/aps.62.171101
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Under the infinitesimal transformations of Lie group, Noether-Lie symmetry of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints is studied. Differential equations of motion for Nielsen equations of the system are established. The definition, criteria and propositions for Nielsen equations of the system are given. Noether conserved quantity as well as generalized Hojman quantity is obtained. An example is given to illustrate the application of the results.
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页数：5
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