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物理学报  2003 

Form invariance for a constrained system with second-order reducible differentia l constraints
二阶可降阶微分约束系统的形式不变性

Keywords: constrained mechanical system,differential constraint,reduction,form invarian ce,conserved quantity
约束力学系统,微分约束,降阶,形式不变性,守恒量

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Abstract:

A form invariance for mechanical systems with second_order reducible differential constraints is studied.Two methods to study the form invariance of the systems are used.In the first method,the system is considered as a nonholonomic system with second_order and in the second method it is considered as a system after reduction.The relation between the two methods is obtained.The result proves that it is possible that some symmetries are lost in the second method.

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