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Conformal invariance, Noether symmetry and Lie symmetry for systems with unilateral Chetaev non-holonomic constraints

Chen Rong Xu Xue-Jun

Conformal invariance, Noether symmetry and Lie symmetry for systems with unilateral Chetaev non-holonomic constraints

Chen Rong, Xu Xue-Jun
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  • Received Date:  26 October 2011
  • Accepted Date:  01 December 2011
  • Published Online:  20 July 2012

Conformal invariance, Noether symmetry and Lie symmetry for systems with unilateral Chetaev non-holonomic constraints

  • 1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Abstract: The conformal invariance of a system with unilateral Chetaev non-holonomic is studied, and its definition is given. The relation between the conformal invariance and the Noether symmetry is discussed. Finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity due to the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.

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