非线性非完整系统Raitzin正则方程的Hojman守恒定理

Hojman's conservation theorems for Raitzin's canonical equations of motion of nonlinear nonholonomic systems

利用时间不变的无限小变换下的Lie对称性 ,研究非线性非完整系统Raitzin正则方程的Hojman守恒定理 .列出系统的运动微分方程 .建立时间不变的无限小变换下的确定方程 .给出系统的Hojman守恒定理 ,并举例说明结果的应用 .

Using the Lie symmetry under infinitesimal transformations in which the time is not variable, the Hojman's conservation theorems for Raitzin's canonical equations of motion of nonlinear nonholonomic systems are studied. The differential equations of the systems and the determining equations of Lie symmetry under infinitesimal transformations are given. The Hojman's conservation theorems of the systems are established. Finally, we give an example to illustrate the application of the result.