一类非完整奇异系统的Lie对称性与守恒量

Lie symmetries and conserved quantities of a type of nonholonomic singular systems

利用微分方程在无限小变换群下的不变性 ,研究一类非完整奇异系统的Lie对称性 .给出Lie对称性的确定方程、限制方程、附加限制方程和结构方程 。

Using an invariance of differential equations under the infinitesimal transformations of group, we study the Lie symmetries and conserved quantities of a type of nonholonomic singular systems. We establish the determining equations, the restriction equations, the additional restriction equations and the structure equations, and give the form of conserved quantities.