Studente LIU, XIANG
Facoltà/Dipartimento Dipartimento di Ingegneria Civile, Edile e Ambientale - ICEA
Corso di studio MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA Laurea Magistrale (D.M. 270/2004)
Anno Accademico 2021
Titolo originale KAM theory for properly-degenerate systems: remarks on the measure of the invariant set
Titolo inglese KAM theory for properly-degenerate systems: remarks on the measure of the invariant set
Abstract in italiano The thesis extends the properly-degenerate KAM theory proposed by L. Chierchia and G. Pinzari to a very general setting. The original theorem assume that the averaged Hamiltonian function possesses the first order Birkhoff invariants which are non resonant up to order 4. And this thesis generalizes this assumption to arbitary order. Following the original proof by L. Chierchia and G. Pinzari, the measure of the set of invariant tori in the new setting is also generalized
Parola chiave Hamiltonian systems
Normal forms
KAM theory
Relatore PINZARI, GABRIELLA
Appare nelle tipologie: Lauree magistrali
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12608/31939