|
|||||
|
|
The classical KAM theorem for Hamiltonian systems via rational approximations |
|
| Authors: | Abed Bounemoura Stéphane Fischler |
| Institution: | 1. CNRS — CEREMADE, Université Paris Dauphine Place du Maréchal de Lattre de Tassigny, 75775, Paris Cedex 16, France 3. IMCCE, Observatoire de Paris, 77 avenue Denfert-Rochereau, 75014, Paris, France 2. Laboratoire de mathématiques d’Orsay, Univ Paris Sud, 91405, Orsay Cedex, France |
| Abstract: | In this paper, we give a new proof of the classical KAM theorem on the persistence of an invariant quasi-periodic torus, whose frequency vector satisfies the Bruno-Rüssmann condition, in real-analytic non-degenerate Hamiltonian systems close to integrable. The proof, which uses rational approximations instead of small divisors estimates, is an adaptation to the Hamiltonian setting of the method we introduced in 4] for perturbations of constant vector fields on the torus. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |