相空间中力学系统的Lie-Mei对称性

Lie-Mei symmetry of mechanical system in phase space

研究了相空间中力学系统的一种新对称性———Lie_Mei对称性及其守恒量.提出这种新对称性的定义,给出了系统Lie_Mei对称性的判据,得到了系统Lie_Mei对称性导致的广义Hojman守恒量和Mei守恒量.举例说明了结果的应用.

In this paper, a new kind of symmetry and its conserved quantifies of a mechanical system in the phase space are studied. The definition of this new symmetry, i.e., the Lie-Mei symmetry is presented, and the criterion of this new symmetry is also given. The generalized Hojman and the Mei conserved quantities of the Lie-Mei symmetry of the system are obtained. An example is given to illustrative the application of the result.