| Birkhoff系统的Mei对称性与动力学逆问题 |
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| 引用本文： | 周燕,张毅.Birkhoff系统的Mei对称性与动力学逆问题[J].广西师范学院学报(自然科学版),2011,28(4):39-45. |
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| 作者姓名： | 周燕 张毅 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州,215011 |
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| 基金项目： | 国家自然科学基金(10972151);江苏省普通高校研究生科研创新计划(CXZZ11-0949);苏州科技学院研究生科研创新计划(SKCX11S-050)资助项目 |
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| 摘 要： | 研究Birkhoff系统Mei对称性的动力学逆问题的提法和解法.首先列出Birkhoff系统的Mei对称性的确定方程、结构方程以及Mei对称性导致的Mei守恒量.其次,给出Birkhoff系统Mei对称性逆问题的两种提法和相应的解法,并举例说明结果的应用.
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| 关 键 词： | Birkhoff系统 Mei对称性 逆问题 |
Mei Symmetry and Inverse Problem in Dynamics of a Birkhoffian System |
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| ZHOU Yan,ZHANG Yi.Mei Symmetry and Inverse Problem in Dynamics of a Birkhoffian System[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2011,28(4):39-45. |
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| Authors: | ZHOU Yan ZHANG Yi |
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| Institution: | (College of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou 215011,P.R.China) |
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| Abstract: | The Mei symmetries and inverse problems in dynamics of a Birkhoffian system are studied.First,the determining equation and structure equation of Mei symmetry and the Mei conserved quantity which is led by the Mei symmetry are given;next,two formulations and their corresponding solutions of the inverse problem for Mei symmetry of the Birkhoffian system are established,and two examples are given to illustrate the application of the results. |
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| Keywords: | Birkhoffian system Mei symmetry inverse problem |
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