非Chetaev型变质量非完整系统的Lie对称性与Noether对称性

ON LIE SYMMETRIES AND NOETHER SYMMETRIES OF THE NONHOLONOMIC VARIABLE-MASS SYSTEMS WITH NON-CHETAEV'S TYPE CONSTRAINTS

研究非Chetaev型变质量非完整系统的Lie对称性与Noether对称性以及其间的 关系,给出Lie对称性导致Noether对称性以及Noether对称性导致Lie对称性的条件.

We consider Lie symmetries and Noether symmetries of the nonholonomic variable mass systems with non-Chetaev's type constraints, and give the criteria showing the relations between Lie symmetries and Noether symmetries of the systems.