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研究完整力学系统Lie-形式不变性的定义与判据,给出由Lie-形式不变性导出的Noether守恒量,Hojman守恒量和Lutzky守恒量. 举例说明结果的应用.
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关键词:
- 完整系统 /
- Lie-形式不变性 /
- Noether守恒量 /
- Hojman守恒量 /
- Lutzky守恒量
This paper presents the definition and criterion for holonomic mechanical systems. The Noether conserved quantity, the Hojman conserved quantity and the Lutzky conserved quantity deduced by the Lie-form invariance are obtained. An example is given to illustrate the application of the result.-
Keywords:
- holonomic systems /
- Lie-form invariance /
- Noether conserved quantity /
- Hojman conserved quantity /
- Lutzky conserved quantity
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