单面非完整系统相对于非惯性系的Lie对称性与守恒量

Lie Symmetries and Conserved Quantities of Nonholonomic Systems with Unilateral Constraints Relative to Noninertial Reference Frame

研究单面非完整系统相对于非惯性系的Lie对称性与守恒星．利用微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程和限制方程，给出系统的结构方程和守恒星；其次讨论系统的Lie对称性逆问题；最后举例说明结果的应用．

This paper studies Lie symmetries and conserved quantities of nonholo-nomic systems with unilateral constraints relative to noninertial reference frame. First-ly, it establishes the determining equations and the restriction equations of the Lie sym-metries of the systems and it gives the structure equations and the conserved euantities,which are using the invariance of the ordinary differential equations under the infinitesi-mal transformations. Secondly, it studies the inverse prob1em of Lie symmetries of thesystems. Finally, it gives an example to ilustrate the app1ication of the result.