Existential theorem of conserved quantities and its inverse for the dynamics of nonholonomic relativistic systems

被引：0
|
作者：
Qiao, YF [1 ]
Meng, J [1 ]
Zhao, SH [1 ]
机构：
[1] NE Agr Univ, Coll Engn, Harbin 150030, Peoples R China
来源：
CHINESE PHYSICS | 2002年 / 11卷 / 09期
关键词：
nonholonomic system; relativity; integrating factor; conserved theorem;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a general approach to the construction of conservation laws for the dynamics of nonholonomic relativistic systems. Firstly, we give the definition of integrating factors for the differential equations of motion of a mechanical system. Next, the necessary conditions for the existence of the conserved quantities are studied in detail. Then, we establish the existential theorem for the conserved quantities and its inverse for the equations of motion of a nonholonomic relativistic system. Finally, an example is given to illustrate the application of the result.
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页码：859 / 863
页数：5
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