非Четаев型非完整系统的精确不变量与绝热不变量  

Exact and adiabatic invariants of nonholonomic systems of non-Chetaev' s type

作　　者：陈向炜[1] 

机构地区：[1]商丘师范学院数学力学与数学物理研究所,河南商丘47600

出　　处：《商丘师范学院学报》2002年第5期1-4,共4页Journal of Shangqiu Normal University

基　　金：河南省自然科学基金(0211011800)资助项目;河南省高校青年骨干教师资助计划

摘　　要：建立非型非完整系统的运动微分方程,基于对称性与不变量理论研究该系统的精确不变量与绝热不变量问题,提出了高阶绝热不变量概念,证明了精确不变量与绝热不变量存在的条件及形式,并举例说明结果的应用。The differential equations of motion of nonholonomic systems of non-Chetaev's type are constructed. Based on the theory of symmetries and conserved quantities, the problems of exact and adiabatic invariants of the systems are discussed. Firstly, the concept of high-order adiabatic invariants is proposed. Then, conditions for the existence of the exact and adiabatic invariants are proved, and their forms are given. Finally, an example is presented to illustrate these results.

关 键 词：非чeTaeB型非完整系统 对称性 精确不变量 绝热不变量 力学系统 分析力学 

分 类 号：O316[理学—一般力学与力学基础]