时间尺度上相空间中二阶线性可控力学系统的Noether理论  

Noether theorem of second-order linear nonholonomic controllable mechanical systems in phase space on time scales

作　　者：季晓慧 朱建青[1] JI Xiaohui;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

出　　处：《华中师范大学学报（自然科学版）》2019年第6期879-883,共5页Journal of Central China Normal University：Natural Sciences

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

摘　　要：研究时间尺度上相空间中二阶线性可控力学系统的Noether对称性与守恒量.建立了时间尺度上二阶线性可控力学系统的Hamiton方程,给出该系统的Noether广义准对称性的定义和判据,并得到广义准对称性相应的Noether守恒量,文末举例说明其结果的应用.This paper mainly investigated Noether symmetry and conserved quantity of second-order linear nonholonomic controllable mechanical systems in phase space on time scales.The Hamilton equation forsecond-order linear nonholonomic controllable mechanical systems on the time scale is established.The definitions and criteria of the generalized Noether quasi-symmetry are offered,and conserved quantities deduced from the generalized Noether quasi-symmetry are obtained.In the end of the paper,an example is given to illustrate the application of the results.

关 键 词：时间尺度 相空间 二阶线性可控力学系统 对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]