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增加附加项后广义Hamilton系统的形式不变性与Mei守恒量?
Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms
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摘要: 研究增加附加项后广义Hamilton系统的形式不变性及其导出的Mei守恒量。引进无限小变换群及其生成元向量，给出增加附加项后广义Hamilton系统的形式不变性的定义和判据，利用规范函数满足的结构方程，导出与该系统形式不变性相应的Mei守恒量的表达式。最后，给出一个算例，用于说明结果的应用。
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关键词:
- 附加项 /
- 广义Hamilton系统 /
- 形式不变性 /
- Mei守恒量
Abstract: Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms are studied. By introducing infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition and determining equations of the Mei symmetry for generalized Hamilton systems after adding additional terms are provided. By means of the structure equation satisfied by the gauge function, the Mei conserved quantity corresponding to the form invariance for the system is derived. Finally an illustrative example is given to verify the results. -
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