| The discrete variational principle and the first integrals of Birkhoff systems＊ |
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| 引用本文： | 张宏彬,陈立群,顾书龙,柳传长.The discrete variational principle and the first integrals of Birkhoff systems＊[J].中国物理 B,2007,16(3):582-587. |
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| 作者姓名： | 张宏彬 陈立群 顾书龙 柳传长 |
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| 作者单位： | (1)Department of Physics, Chaohu College, Chaohu 238000, China; (2)Department of Physics, Chaohu College, Chaohu 238000, China;Shanghai Institute of Mathematics and Mechanics, Shanghai
University, Shanghai 200072, China; (3)Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Department of Mechanics, Shanghai University, Shanghai 200436, China |
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| 基金项目： | Project partially supported by the
National Natural Science Foundation of China (Grant
No~10172056) and the Science Research of the Education Bureau of Anhui
Province, China (Grant No~2006KJ263B). |
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| 摘 要： | This paper shows that first integrals of discrete equation of motion for
Birkhoff systems can be determined explicitly by investigating the invariance properties of
the discrete Pfaffian. The result obtained is a discrete
analogue of theorem of Noether in the
calculus of variations. An example is given to illustrate
the application of the results.
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| 关 键 词： | BIRKHOFF系统 离散 变分原理 初积分 Noether对称 |
| 收稿时间： | 2006-03-30 |
| 修稿时间： | 2006-03-302006-08-29 |
The discrete variational principle and the first integrals of Birkhoff systems |
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| Zhang Hong-Bin,Chen Li-Qun,Gu Shu-Long and Liu Chuan-Zhang.The discrete variational principle and the first integrals of Birkhoff systems[J].Chinese Physics B,2007,16(3):582-587. |
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| Authors: | Zhang Hong-Bin Chen Li-Qun Gu Shu-Long and Liu Chuan-Zhang |
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| Institution: | Department of Physics, Chaohu College, Chaohu 238000, China; Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Mechanics, Shanghai University, Shanghai 200436, China |
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| Abstract: | This paper shows that first integrals of discrete equation of motion for
Birkhoff systems can be determined explicitly by investigating the invariance properties of
the discrete Pfaffian. The result obtained is a discrete
analogue of theorem of Noether in the
calculus of variations. An example is given to illustrate
the application of the results. |
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| Keywords: | discrete mechanics Birkhoff system discrete Pfaffian Noether's theorem first integral |
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