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物理学报  2007 

Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems
一类非完整系统运动微分方程的Lie对称性与Hojman型守恒量

Keywords: analytical mechanics,nonholonomic system,symmetry,Hojman conserved quantity
分析力学,
,非完整系统,,对称性,,Hojman型守恒量

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Abstract:

The Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems are studied. The determining equations and the restriction equations of Lie symmetries of the system are obtained. The condition under which a conserved quantity exists is established and the form of the conserved quantity is given. An example is given to illustrate the application of the result.

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