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Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints

Jing Hong-Xing Li Yuan-Cheng Xia Li-Li

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Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints

Jing Hong-Xing, Li Yuan-Cheng, Xia Li-Li
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  • In this paper, the perturbation problem of Lie symmetries and adiabatic invariants for variable mass systems with unilateral holonomic constraints are studied. Firstly, a type of generalized Hojman conserved quantity under general infinitesimal transformation is obtained. Then, based on the definition of high-order adiabatic invariants of a mechanical system, the perburbation of Lie symmetries for variable mass systems with unilateral holonomic constraints under small disturbance is discussed and a type of generalized Hojman adiabatic invariants are given. At last, an example to illustrate the application of the results is given.
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  • Abstract views:  7676
  • PDF Downloads:  1507
  • Cited By: 0
Publishing process
  • Received Date:  01 October 2006
  • Accepted Date:  12 October 2006
  • Published Online:  05 March 2007

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