时间尺度上变质量非完整系统的Lie对称性与守恒量  

Lie symmetries and conserved quantities of nonholonomic systems with variable mass on time scales

作　　者：阙朝月 朱建青[1] QUE Chaoyue;ZHU Jianqing(College 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,江苏苏州215009

出　　处：《华中师范大学学报（自然科学版）》2020年第2期207-212,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11572212);苏州科技大学2018年度研究生培养创新工程项目(SKCX18_Y08).

摘　　要：在时间尺度上研究了变质量非完整系统基于delta导数的Lie对称性与守恒量.首先,基于D’Alembert-Lagrange原理导出了时间尺度上变质量非完整系统的微分方程;其次,利用微分方程在无限小变换下的不变性,建立了系统的Lie对称确定方程,给出了系统的结构方程及守恒量;最后,举例说明理论的应用.The Lie symmetry and conserved quantity of variable mass nonholonomic systems in terms of delta derivative is discussed on time scales.First,based on D’Alembert-Lagrange principle,the differential equation of nonholonomic system with variable mass on time scale is derived.Then by using the invariance of the infinitesimal transformation for variable mass nonholonomic system on time scales,the determining equation of Lie symmetry is established,and the structure equation and conservation quantity of the system are given.Finally,an example is given to illustrate its application.

关 键 词：时间尺度 变质量系统 非完整系统 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]