Perturbation to Mei Symmetry and Adiabatic Invariants for Disturbed El-Nabulsi’s Fractional Birkhoff System-中国期刊网

摘要 ForEl-Nabulsi’sfractionalBirkhoffsystem,Meisymmetryperturbation,thecorrespondingMei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsareinvestigatedinthispaper.Firstly,basedonEl-NabulsiBirkhofffractionalequations,MeisymmetryandthecorrespondingMeiconservedquantity,NoetherconservedquantitydeducedindirectlybyMeisymmetryarestudied.Secondly,Mei-typeexactinvariantsandNoether-typeexactinvariantsaregivenonthebasisofthedefinitionofadiabaticinvatiant.Thirdly,Meisymmetryperturbation,Mei-typeadiabaticinvariantsandNoether-typeadiabaticinvariantsforthedisturbedEl-Nabulsi’sfractionalBirkhoffsystemarestudied.Finally,twoexamples,Hojman-UrrutiaproblemforMei-typeadiabaticinvariantsandanotherfortheNoether-typeadiabaticinvariants,aregiventoillustratetheapplicationoftheresults.

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Perturbation to Mei Symmetry and Adiabatic Invariants for Disturbed El-Nabulsi’s Fractional Birkhoff System

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Perturbation to Mei Symmetry and Adiabatic Invariants for Disturbed El-Nabulsi’s Fractional Birkhoff System

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