摘要
沿着系统的轨道基于全部的时间衍生物,为非保守的动态系统,保存数量间接地从系统的谎言对称推出了的概括 Mei 被学习。第一,系统的谎言对称被给。然后,谎言对称是 Mei 对称的必要、足够的在下面条件被介绍,保存数量间接地从系统的谎言对称推出了的概括 Mei 被获得。最后,一个例子被给说明结果的申请。
Based on the total time derivative along the trajectory of the system, for noneonservative dynamical system, the generalized Mei conserved quantity indirectly deduced from the Lie symmetry of the system is studied. Firstly, the Lie symmetry of the system is given. Then, the necessary and sumeient condition under which the Lie symmetry is a Mei symmetry is presented and the generalized Mei conserved quantity indirectly deduced from the Lie symmetry of the system is obtained. Lastly, an example is given to illustrate the application of the result.