Positive measure of KAM tori for finitely differentiable Hamiltonians

Author:

Bounemoura Abed

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference16 articles.

1. [Alb07] Albrecht, J. On the existence of invariant tori in nearly-integrable Hamiltonian systems with finitely differentiable perturbations, Regul. Chaotic Dyn., Volume 12 (2007) no. 3, pp. 281-320

2. [Arn63] Arnold, V. I. Proof of a theorem of A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations, Russian Math. Surveys, Volume 18 (1963) no. 5, pp. 9-36

3. [BF19] Bounemoura, A.; Féjoz, J. KAM, α-Gevrey regularity and the α-Bruno-Rüssmann condition, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), Volume 19 (2019) no. 4, pp. 1225-1279

4. [CW13] Cheng, C.-Q.; Wang, L. Destruction of Lagrangian torus for positive definite Hamiltonian systems, Geom. Funct. Anal., Volume 23 (2013) no. 3, pp. 848-866

5. [Her86] Herman, M.-R. Sur les courbes invariantes par les difféomorphismes de l’anneau, Astérisque, Volume 144, Société Mathématique de France, 1986

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some remarks on the classical KAM theorem, following Pöschel;Hamiltonian Systems;2024-05-09

2. Moser's theorem with frequency-preserving;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-08-29

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