| Form Invariance, Noether and Lie Symmetry of Non-conservative Hamiltonian Systems in Phase Space |
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| 作者姓名： | 傅景礼 陈立群 谢凤萍 |
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| 作者单位： | [1]SchoolofNaturalScience,ZhejiangUniversityofScience,Zhejiang310018,P.R.China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P,R.China |
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| 摘 要： | For the non-conservative holonomic Hamiltonian systems in phase space, the definition and criteria of the form invariance of the generalized Hamilton canonical equations were given. The relations among the form invariance, Noether symmetry and Lie symmetry were studied. The theory of the form invariance for the conservative holonomical systems was worked out. An example was given to illustrate the results.
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| 关 键 词： | 汉密尔顿系统 相空间 形式不变性 Noether对称 李对称 |
| 收稿时间： | 11 April 2003 |
Form invariants,noether and lie symmetry of non-conservative hamiltonian systems in phase space |
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| Fu?Jing-li,Chen?Li-qun,Xie?Feng-ping.Form Invariance, Noether and Lie Symmetry of Non-conservative Hamiltonian Systems in Phase Space[J].Journal of Shanghai University(English Edition),2004,8(3):252-257. |
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| Authors: | Fu Jing-li Chen Li-qun Xie Feng-ping |
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| Institution: | (1) School of Natural Science, Zhejiang University of Science, 310018 Zhejiang, P.R. China;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P.R. China |
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| Abstract: | For the non-conservative holonomic Hamiltonian systems in phase space, the definition and criteria of the form invariance
of the generalized Hamilton canonical equations were given. The relations among the form invariance, Noether symmetry and
Lie symmetry were studied. The theory of the form invariance for the conservative holonomical systems was worked out. An example
was given to illustrate the results.
Project supported by the National Natural Science Foundation of China (Grant No. 10372053) and the National Science Foundation
of Henan Province Government (Grant No. 0311011400) |
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| Keywords: | form invariance Noether symmetry Lie symmetry Hamiltonian system phase space |
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