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物理学报  2006 

Perturbation of symmetries and Hojman adiabatic invariants for Lagrangian system

Keywords: Lagrangian system,symmetry,perturbation,adiabatic invariant

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The perturbation of symmetries and adiabatic invariants for Lagrangian system are studied. The exact invariants introduced by the Lie symmetries of Lagrangian system without perturbation are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Lagrangian system with the action of small disturbance is investigated, and a type of Hojman adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results.


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