摘要
为 nonholonomic 的 Mei 对称和谎言对称有相对论的旋转可变质量的可控制的机械系统被学习。系统的运动的微分方程被建立。Mei 对称的定义和系统的谎言对称分别地被学习。Mei 对称是谎言对称的必要、足够的在下面条件被给。Mei 对称能在下面被导致的条件新有点保存的数量和保存数量的形式被获得。一个例子被给说明结果的申请。
The Mei symmetries and the Lie symmetries for nonholonomic controllable mechanical systems with relativistic rotational variable mass are studied. The differential equations of motion of the systems are established. The definition and criterion of the Mei symmetries and the Lie symmetries of the system are studied respectively. The necessary and sufficient condition under which the Mei symmetry is Lie symmetry is given. The condition under which the Mei symmetries can be led to a new kind of conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the results.
基金
Supported by the Key Disciplines' Building Foundation of Henan Institute of Education
the Natural Science Foundation of Education Bureau of Henan Province of China under Grant No. 2009A14003
