南京理工大学学报（自然科学版）2017，Vol.41Issue(2)：181-185,5.DOI:10.14177/j.cnki.32-1397n.2017.41.02.007
时间尺度上Lagrange系统对称性摄动与绝热不变量
Perturbation to symmetry and adiabatic invariant for Lagrangiansystem on time scale
摘要
Abstract
In order to reveal the internal relationships between the symmetry change and the invariant under the small disturbance,the perturbation to the Noether symmetry and adiabatic invariants for Lagrangian systems on time scales are studied in this paper.The differential equations of motion,the Noether symmetry and exact invariant for Lagrangian systems on time scales are presented.The definition of the adiabatic invariant on time scales is given,and the perturbation to the Noether symmetry and adiabatic invariants for Lagrangian systems on time scales are investigated.Finally,an example is given to illustrate the method and results.关键词
对称性摄动/绝热不变量/Lagrange系统/时间尺度Key words
perturbation to symmetry/adiabatic invariants/Lagrangian system/time scales分类
数理科学引用本文复制引用
宋传静,张毅..时间尺度上Lagrange系统对称性摄动与绝热不变量[J].南京理工大学学报（自然科学版）,2017,41(2):181-185,5.基金项目
国家自然科学基金(11272227 （）
11572212) （）
江苏省高校研究生创新计划(KYLX15_0405) （KYLX15_0405）
