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Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems

Hu Chu-Le

Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems

Hu Chu-Le
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  • Received Date:  20 November 2006
  • Accepted Date:  11 December 2006
  • Published Online:  20 July 2007

Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems

  • 1. 呼伦贝尔学院物理系,海拉尔 021008

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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