Momentum-dependent symmetries and non-Noether conserved quantities for nonholonomic nonconservative Hamilton canonical systems

被引：0
|
作者：
Fu, JL [1 ]
Chen, LQ
Chen, XW
机构：
[1] Zhejiang Sci Tech Univ, Dept Phys, Hangzhou 310018, Peoples R China
[2] Shanghai Univ, Dept Mech, Shanghai 200072, Peoples R China
[3] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
[4] Shangqiu Teachers Coll, Shangqui 476000, Peoples R China
来源：
CHINESE PHYSICS | 2006年 / 15卷 / 01期
关键词：
nonholonomic nonconservative Hamiltonian system; momentum-dependent symmetry; infinitesimal transformation; Lie group;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper investigates the momentum-dependent symmetries for nonholonomic nonconservative Hamilton canonical systems. The definition and determining equations of the momentum-dependent symmetries are presented, based on the invariance of differential equations under infinitesimal transformations with respect to the generalized coordinates and generalized momentums. The structure equation and the non-Noether conserved quantities of the systems are obtained. The inverse issues associated with the momentum-dependent symmetries are discussed. Finally, an example is discussed to further illustrate the applications.
引用
收藏
页码：8 / 12
页数：5
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