Mei Symmetry and Conserved Quantity of Tzénoff Equations for Nonholonomic Systems of Non-Chetaev's Type

Abstract

Mei symmetry of Tzénoff equations for nonholonomic systems of non-Chetaev's type under the infinitesimal transformations of groups is studied. Its definitions and discriminant equations of Mei symmetry are given. Sufficient and necessary condition of Lie symmetry deduced by the Mei symmetry is also given. Hojman conserved quantity of Tzénoff equations for the systems through Lie symmetry in the condition of special Mei symmetry is obtained.