离散非保守系统的Lie对称性

THE LIE SYMMETRY OF THE DISCRETE NONCONSERVATIVE SYSTEMS

本文研究离散非保守系统的Lie对称性,首先利用离散Lagrange-D'Alembert原理,导出非保守系统的离散运动方程,并进一步给出离散非保守系统Lie对称性的定义,通过一个实例给出离散非保守系统Lie对称性的一个求法。

In the present work we consider the Lie symmetry of the discrete nonconsrevative system,The firstly,the discrete motion equation of this system is deduced by using the discrete Lagrange-D＇Alembert principle,then its Lie symmetry is defined,finally an approach is proposed to find Lie symmetry by using an example.