Renormalization of flows on the multidimensional torus close to a KT frequency vector

Nonlinearity

Volumn 15, Issue 3, 2002, Pages 647-664

  Dias, João Lopes ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042536470     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/3/307     Document Type: Article

References (9)

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3. Delshams A and de la Llave R 2000 KAM theory and a partial justification of Greene's criterion for non-twist maps SIAM J. Math. Anal 31 1235-69
4. Katok A and Hasselblatt B 1995 Introduction to the Modern Theory of Dynamical Systems (Cambridge: Cambridge University Press)
5. Koch H 1999 A renormalization group for Hamiltonians, with applications to KAM tori Erg. Theor. Dyn. Syst. 19 475-521
6. Lang S 1995 Introduction to Diophantine Approximations 2nd edn (Berlin: Springer)
7. 2 with a diophantine frequency Nonlinearity 15 665-79
8. MacKay R S 1995 Three topics in Hamiltonian dynamics Dynamical Systems and Chaos vol 2 ed Y Aizawa, S Saito and K Shiraiwa (Singapore: World Scientific)
9. Pöschel J 1989 On elliptic lower dimensional tori in Hamiltonian systems Math. Z. 202 559-608