广义力学系统的Lie对称性定理及其逆定理

On the lie symmetry theorem and its inverse of generalized mechanics systems

根据广义力学中 Lagrange方程在无限小群变换下的不变性 ,给出 L agrange系统的 L ie对称性定理及其逆定理。

According to the invariance of Lagrange equations under the infinitesimal transformations in generalized mechanics,the Lie symmetry theorem and its inverse of Lagrange systems are given.Finlly,an example to illustrate the application of the result is given.$$$$