研究了在群的无限小变换下非完整系统Tzenoff方程的Mei对称性,给出了非完整系统Tzenoff方程Mei对称性的定义和判据方程.给出了这种Mei对称性导致晦对称性的充要条件,通过特殊Mei对称性条件下的Lie对称性,找到了非完整系统Tzenoff方程的Hojman守恒量.
The Mei symmetry of Tzenoff equations for nonholonomic systems under the infinitesimal transformation of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Lie symmetry, then the Hojman conserved quantity of the Tzenoff equation can be obtained by the Mei symmetry.