Perturbation to Lie Symmetry and Adiabatic Invariants for General
Holonomic Mechanical 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, the perturbation to the Lie symmetry and adiabatic invariants for general holonomic mechanical systems are studied. The exact invariants induced directly from the Lie symmetry of the system without perturbation are given. The perturbation to the Lie symmetry is discussed and the adiabatic
invariants that have the different form from that in Act. Phys. Sin. 55 (2006) 3236 (in Chinese)] of the
perturbed system, are obtained. |
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| Keywords: | Lie symmetry perturbation adiabatic invariant general holonomic mechanical system |
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