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物理学报  2005 

Lie-form invariance of holonomic mechanical systems
完整力学系统的Lie-形式不变性

Keywords: holonomic systems,Lie-form invariance,Noether conserved quantity,Hojman conserved quantity,Lutzky conserved quantity
完整系统,
,Lie-形式不变性,,Noether守恒量,,Hojman守恒量,Lutzky守恒量

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Abstract:

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.

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