时间尺度上弱非完整系统的Noether对称性与守恒量  

Noether symmetry and conserved quantity for a weakly nonholonomic system on time scales

作　　者：季晓慧 朱建青[1] JI Xiao-hui;ZHU Jian-qing(College of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215009,China)

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《云南大学学报（自然科学版）》2019年第1期68-73,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11572212);苏州科技大学研究生科研创新计划项目(SKCX17_033)

摘　　要：研究时间尺度上弱非完整系统的Noether对称性与守恒量.建立了时间尺度上弱非完整系统对应的一次近似系统的运动微分方程,给出时间尺度上弱非完整系统的一次近似系统的Noether对称性的定义和判据,得到一次近似系统的Noether对称性导致的近似守恒量的表达式,并举例说明其结果的应用.This paper mainly investigated Noether symmetry and conserved quantity for a weakly nonholonomic system on time scales. Firstly, we provided the differential equations of motion for the first-order approximate system corresponding to the weakly nonholonomic system. Secondly, we offered the definitions and criteria of Noether symmetry for the first-order approximate system of the weakly nonholonomic system. Then, the expressions of the approximate conserved quantity of Noether symmetry in weakly nonholonomic systems were obtained. Finally, an example was given to illustrate the application of the results.

关 键 词：时间尺度 弱非完整系统 近似系统 NOETHER对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]