[1]宋传静,张 毅.时间尺度上奇异Lagrange系统对称性与守恒量[J].江西师范大学学报(自然科学版),2017,(06):637-640.
 SONG Chuanjing,ZHANG Yi.The Symmetry and Conserved Quantity for Singular Lagrangian Systems on Time Scales[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(06):637-640.
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时间尺度上奇异Lagrange系统对称性与守恒量()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年06期
页码:
637-640
栏目:
出版日期:
2017-12-01

文章信息/Info

Title:
The Symmetry and Conserved Quantity for Singular Lagrangian Systems on Time Scales
作者:
宋传静张 毅
1.苏州科技大学数理学院,江苏 苏州 215009; 2.苏州科技大学土木工程学院,江苏 苏州 215009
Author(s):
SONG ChuanjingZHANG Yi
1.School of Mathematics & Physics,Suzhou University of Science and Technology, Suzhou Jiangsu 215009,China; 2.College of Civil Engineering, Suzhou University of Science and Technology, Suzhou Jiangsu 215009,China
关键词:
对称性 守恒量 奇异Lagrange系统 时间尺度
Keywords:
symmetry conserved quantity singular Lagrangian system time scale
分类号:
O 316
文献标志码:
A
摘要:
时间尺度可以统一连续分析与离散分析,Noether对称性方法又是分析力学中独特的积分方法之一,而且在实际问题中,较多1阶微分方程组可化为奇异Lagrange系统,因此对时间尺度上奇异Lagrange系统Noether对称性与守恒量的研究具有重要的理论和实际意义.首先,给出时间尺度上奇异Lagrange系统的运动微分方程; 其次,讨论该系统Noether对称性和Noether准对称性的定义和判据; 最后,寻求与对称性和准对称性相应的Noether守恒量,并举例说明结果的应用.
Abstract:
Noether symmetry and conserved quantity for singular Lagrangian system on time scales are studied.Firstly,the differential equations of motion on time scales for singular Lagrangian system are presented.Secondly,the definitions and criteria of Noether symmetry and Noether quasi-symmetry for this system are studied.Lastly,conserved quantities deduced from Noether symmetry and Noether quasi-symmetry are obtained for singular Lagrangian system on time scales.And an example is given to illustrate the results.

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备注/Memo

备注/Memo:
收稿日期:2017-09-20基金项目:.国家自然科学基金(11572212,11272227)和江苏省高校研究生创新计划(KYLX15_0405)资助项目.作者简介:宋传静(1987-),女,河南信阳人,博士,主要从事分析力学的研究.E-mail:songchuanjingsun@126.com通信作者:张 毅(1964-),男,江苏苏州人,教授,博士,主要从事分析力学的研究.E-mail:zhy@mail.usts.edu.cn
更新日期/Last Update: 1900-01-01