A set of conserved quantities from Lie symmetries for Birkhoffian systems
Birkhoff系统的一类Lie对称性守恒量

This paper presents a new method for obtaining conserved quantities from Lie symmetries for Brikhoffian systems. The Lie symmetrical transformations of the systems are given, which only depend on the Birkhoffian variables. A set of conserved quantities are directly obtained from the Lie symmetries of the systems, and an example is given to illustrate the application of the results.