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Hojman Exact Invariants and Adiabatic Invariants of Hamilton System
Authors:WANG Peng  FANG Jian-Hui  DING Ning  ZHANG Xiao-Ni
Affiliation:College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract:The perturbation to Lie symmetry and adiabatic invariants are studied. Based on the concept of higher-order adiabaticinvariants of mechanical systems with action of a small perturbation, theperturbation to Lie symmetry is studied, and Hojman adiabatic invariants of Hamilton system are obtained. An example is given to illustrate the application of the results.
Keywords:Hamilton system   symmetry   exact invariant   adiabatic invariant   
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