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Perturbation to Lie Symmetry and Hojman Exact and Adiabatic Invariants of Generalized Raitzin Canonical Equation of Motion |
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| Authors: | WANG Peng FANG Jian-Hui DING Ning ZHANG Xiao-Ni |
| Institution: | College of Physics and Technology, China University of Petroleum, Dongying 257061, China |
| Abstract: | In this paper, firstly, we get the Hojman exact invariants by Lie symmetry for an undisturbed generalized Raitzin equation of motion. Secondly, we study the perturbation to Lie symmetry of generalized Raitzin canonical equation of motion and get Hojman adiabatic invariants. Lastly, an example is given to illustrate the application of the results. |
| Keywords: | generalized mechanics symmetry Raitzin canonical equation perturbation adiabatic invariant |
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