摘要
研究非Ｃｈｅｔａｅｖ型非完整系统的Ｌｉｅ对称性与Ｎｏｅｔｈｅｒ对称性，具体研究了非Ｃｈｅｔａｅｖ型常 质量非完整系统和非Ｃｈｅｔａｅｖ型变质量非完整系统的Ｌｉｅ对称性与Ｎｏｅｔｈｅｒ对称性．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．
Consider Lie symmetries and Noether symmetries of nonholonomic systems of non-Chetaev's type. Here nonholonomic mechanical systems with constant or variable mass with Chetaev's type or non-Chetaev's type constraints are studied, and the criteria to show the relations between Lie symmetries and Noether symmetries of nonholonomic sys-tems of non-Chetaev's type is given.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2001年第1期110-115,共6页
Acta Mathematica Scientia
基金
北京市教委科研基金(北方KJ
00KJ-009)
北方工业大学科研基金资助课题
