Perturbation to Noether-Lie Symmetry and Adiabatic Invariants for
Mechanical Systems in Phase Space |
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| Authors: | ZHANG Ming-Jiang FANG Jian-Hui LU Kai |
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| Institution: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | Based on the concept of adiabatic invariant, the perturbation to
Noether-Lie symmetry and adiabatic invariants for mechanical
systems in phase space are studied. The criterion of the Noether-Lie
symmetry for the perturbed system is given, and the definition of
the perturbation to Noether-Lie symmetry for the system under
the action of small disturbance is presented. Meanwhile, the
Noether adiabatic invariants and the generalized Hojman adiabatic
invariants of the perturbed system are obtained. |
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| Keywords: | Noether-Lie symmetry perturbation adiabatic invariant mechanical system phase space |
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