带有附加项的广义Hamilton系统的Mei对称性

Mei symmetry of generalized Hamilton systems with additional terms

研究带附加项的广义Hamilton系统的Mei对称性的定义和判据,给出系统Mei对称性为Lie对称性的充分必要条件.通过Lie对称性间接导出具有Mei对称性且带有附加项的广义Hamilton系统运动微分方程的Hojman守恒量.举例说明结果的应用.

The definition and the criterion of Mei symmetry of generalized Hamilton systems with additional terms is studied in this paper. A necessary and sufficient condition for Mei symmetry of systems to be Lie symmetry is given. The Hojman conserved quantity for the differential equation of motion of generalized Hamilton system with additional terms being Mei symmetry can be deduced indirectly by Lie symmetry. An example is given to show the application of this result.