华中师范大学学报（自然科学版）2017，Vol.51Issue(6)：772-776,5.DOI:10.19603/j.cnki.1000-1190.2017.06.008
时间尺度上非保守系统的Lie对称性及其守恒量
Lie symmetry and conserved quantity for non-conservative systems on time scales
摘要
Abstract
In this paper,Lie symmetry and conserved quantity for non-conservative systems on time scales are studied.Firstly,based on the invariance of the differential equations on time scales under the infinitesimal transformations of groups,the determining equations of Lie symmetry on time scales are provided.Secondly,the structure equations of Lie symmetry for non-conservative systems on time scales are established,and formulation of the Noether conserved quantity is constructed.Finally,an example is presented to illustrate the application of the results.关键词
时间尺度/非保守系统/Lie对称性/守恒量Key words
time scales/non-conservative systems/Lie symmetry/conserved quantity分类
数理科学引用本文复制引用
林魏,朱建青..时间尺度上非保守系统的Lie对称性及其守恒量[J].华中师范大学学报（自然科学版）,2017,51(6):772-776,5.基金项目
国家自然科学基金资助项目(11572212) （11572212）
苏州科技大学研究生科研创新计划项目(SKCX16_057). （SKCX16_057）
