V.I. Arnold's 'pointwise' KAM Theorem
| Autor: | Chierchia, Luigi, Koudjinan, Comlan Edmond |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Regular and Chaotic Dynamics, Volume 24, Issue 6 of 2019 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1134/S1560354719060017 |
| Popis: | We review V.I. Arnold's 1963 celebrated paper \cite{ARV63} {\sl Proof of A.N. Kolmogorov's theorem on the conservation of conditionally periodic motions with a small variation in the Hamiltonian}, and prove that, optimizing Arnold's scheme, one can get "sharp" asymptotic quantitative conditions (as $\varepsilon\to 0$, $\varepsilon$ being the strength of the perturbation). All constants involved are explicitly computed. Comment: To appear in |
| Databáze: | arXiv |
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