苏州科技大学学报（自然科学版）2020，Vol.37Issue(1)：12-17,40,7.DOI:10.12084/j.issn.2096-3289.2020.01.003
时间尺度上广义Birkhoff系统准对称性与守恒量
Quasi-symmetry and conserved quantity for generalized Birkhoffian system on time scales
摘要
Abstract
In order to reveal the intrinsic relationship between the symmetry and conserved quantity for mechanical sys-tems on time scales,this paper studies the quasi-symmetry and conserved quantity for generalized Birkhoffian system on time scales. Firstly,the differential equations of motion for generalized Birkhoffian system were obtained from the general-ized Pfaff-Birkhoff principle on time scales. Secondly,the criteria for quasi-symmetry for this system were investigated. The conserved quantities were given in two cases of whether the time transforms or not. Finally,the results were illustrat-ed.关键词
准对称性/守恒量/广义Birkhoff系统/时间尺度Key words
quasi-symmetry/conserved quantity/generalized Birkhoffian system/time scale分类
数理科学引用本文复制引用
宋传静..时间尺度上广义Birkhoff系统准对称性与守恒量[J].苏州科技大学学报（自然科学版）,2020,37(1):12-17,40,7.基金项目
国家自然科学基金资助项目(11802193 （）
11572212) （）
江苏省政府留学奖学金资助项目 （）
江苏省高等学校自然科学基金资助项目(18KJB130005) （18KJB130005）
苏州科技大学科研启动基金资助项目(331812137) （331812137）
苏州科技大学科研基金资助项目 （）
