时间尺度上奇异Chetaev型非完整力学系统的Lie对称性  

Lie symmetry and conserved quantity for singular nonholonomic systems of Chetaev’s type on time scales

作　　者：陈志炜 朱建青[1] CHEN Zhiwei;ZHU Jianqing(School of Mathematics and Physics, Suzhou University of Science and Technology?Suzhou, Jiangsu 215009?China)

机构地区：[1]苏州科技大学数理学院

出　　处：《华中师范大学学报（自然科学版）》2019年第3期335-338,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11572212)

摘　　要：研究了时间尺度上奇异Chetaev型非完整力学系统的Lie对称性与守恒量问题.首先,建立了系统的运动微分方程.其次,基于时间尺度上微分方程在无限小变换下的不变性,给出了时间尺度上奇异Chetaev型非完整系统Lie对称性的确定方程和限制方程.最后,建立时间尺度上奇异Chetaev型非完整系统Lie对称性的结构方程,给出了 Lie对称性的守恒量,并举例说明结果的应用.The Lie symmetry and conserved quantities of singular nonholonomic systems of Chetaev's type on time scales were studied. Firstly, the motion differential equations were established. Secondly, based on the invariance of differential equations under infinitesimal transformation on time scales, we gave the determining equation and the limiting equation of Lie symmetry for singular nonholonomic systems of Chetaev's type on time scales. Finally, a structural equation was established, and the conservation of Lie symmetry was given. At the end of the paper, an example was given to illustrate the application of the theorem.

关 键 词：时间尺度 奇异 Chetaev型 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]