| First integrals of the discrete nonconservative and nonholonomic systems |
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| 作者姓名： | 张宏彬 陈立群 刘荣万 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Physics, Chaohu University, Chaohu 238000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10172056) and Science Research Foundation of the Education Bureau of Anhui Province, China (Grant No 2004kj 294). |
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| 摘 要： | In this paper we show that the first integrals of the discrete equation of motion for nonconservative and nonholonomic mechanical systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian. The result obtained is a discrete analogue of the generalized theorem of Noether in the Calculus of variations.
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| 关 键 词： | 离散力学 Noether定理 不守恒力学系统 不完整性 初积分 |
| 收稿时间： | 2004-06-14 |
First integrals of the discrete nonconservative and nonholonomic systems |
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| Zhang Hong-Bin,Chen Li-Qun and Liu Rong-Wan.First integrals of the discrete nonconservative and nonholonomic systems[J].Chinese Physics B,2005,14(2):238-243. |
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| Authors: | Zhang Hong-Bin Chen Li-Qun and Liu Rong-Wan |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Department of Physics, Chaohu University, Chaohu 238000, China |
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| Abstract: | In this paper we show that the first integrals of the discrete equation of motion for nonconservative and nonholonomic mechanical systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian. The result obtained is a discrete analogue of the generalized theorem of Noether in the Calculus of variations. |
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| Keywords: | discrete mechanics nonconservative and nonholonomic mechanical systems Noether's theorem first integral |
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