相空间中非Chetaev型非完整系统的Lie对称性与守恒量

Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type in Phase Space

研究相空间中非 Chetaev型非完整系统的 L ie对称性与守恒量 .首先利用微分方程在无限小变换下的不变性建立 L ie对称所满足的确定方程和限制方程 ,给出了结构方程和守恒量 ;其次研究系统的 L ie对称逆问题 ;最后举例说明结果的应用 .

Lie symmetries and conserved quantities of nonholonomic systems of non Chetaev's type in phase space is studied in the paper.Firstly,the determining equations and the restriction equations of the Lie symmetries of the systems is establised.Te structure equations and the conserved euantities is given.Which are using the invariance of the ordinary differential equations under the infinitesimlal transformations.Secondly,the inverse problem of Lie symmetries of the systems is studied.finally,an example to illustrate the application of the result is given.