| 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 |
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
| Liu_Xiang.pdf | 604.42 kB | Adobe PDF | Visualizza/Apri |
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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/20.500.12608/31939
