Lower-Dimensional Invariant Tori for Perturbations of a Class of Non-convex Hamiltonian Functions-Reference-Cited by-同舟云学术

Lower-Dimensional Invariant Tori for Perturbations of a Class of Non-convex Hamiltonian Functions

Published:2013-01 Issue:1 Volume:150 Page:156-180
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Corsi Livia,Feola Roberto,Gentile Guido

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s10955-012-0682-8.pdf

Reference6 articles.

1. Bryuno, A.D.: Analytic form of differential equations. I. Tr. Mosk. Mat. Obŝ. 25, 119–262 (1971) (Russian). English translation: Trans. Mosc. Math. Soc. 25, 131–288 (1971, 1973)

2. Bryuno, A.D.: Analytic form of differential equations. II. Tr. Mosk. Mat. Obŝ. 25, 119–262 (1971) (Russian). English translation: Trans. Mosc. Math. Soc. 26, 199–239 (1972, 1974)

3. Cheng, Ch.-Q.: Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems. Commun. Math. Phys. 177(3), 529–559 (1996)

4. Corsi, L., Gentile, G.: Oscillator synchronisation under arbitrary quasi-periodic forcing. Commun. Math. Phys. 316(2), 489–529 (2012)

5. Corsi, L., Gentile, G.: Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems. Preprint. Roma. arXiv:1202.4264 (2012)

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