Form invariance for systems of generalized classical mechanics

Form invariance for systems of generalized classical mechanics
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DOI:
10.1088/1009-1963/12/10/303
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发表时间:
2003-10
期刊:
Chinese Physics
影响因子:
--
通讯作者:
Z. Yi;Feng-xiang Mei
Z. Yi;Feng-xiang Mei
中科院分区:
其他
文献类型:
--
作者:
Z. Yi;Feng-xiang Mei

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This paper presents a form invariance of canonical equations for systems of generalized classical mechanics. According to the invariance of the form of differential equations of motion under the infinitesimal transformations, this paper gives the definition and criterion of the form invariance for generalized classical mechanical systems and establishes relations between form invariance, Noether symmetry and Lie symmetry. At the end of the paper, an example is given to illustrate the application of the results.