Perturbation to Lie Symmetry and Lutzky Adiabatic Invariants for Lagrange Systems |
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| Authors: | DING Ning FANG Jian-Hui WANG Peng ZHANG Xiao-Ni |
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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, perturbation
to Lie symmetry and Lutzky adiabatic invariants for Lagrange systems are
studied by using different methods from
those of previous works. Exact
invariants induced from Lie symmetry of the system without perturbation are
given. Perturbation to Lie symmetry is discussed and Lutzky adiabatic
invariants of the system subject to perturbation are obtained. |
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| Keywords: | symmetry perturbation Lutzky adiabatic invariant Lagrange system |
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