The relation between the size of perturbations and the dimension of tori in an infinite-dimensional KAM theorem of Pöschel

Author:

Li Xuemei,Liu Shujuan

Funder

NNSF of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Proof of A. N. Kolmogorov’s theorem on the conservation of conditionally periodic motions with a small variation in the Hamiltonian;Arnold;Russian Math. Surveys,1963

2. Branching of Cantor manifolds of elliptic tori and applications to PDEs;Berti;Comm. Math. Phys.,2011

3. Methods of Accelerated Convergence in Nonlinear Mechanics;Bogoljubov,1976

4. A Quantitative KAM Theorem;Castan,2017

5. V. I. Arnold’s “pointwise” KAM theorem;Chierchia;Regul. Chaotic Dyn.,2019

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1. Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach;Regular and Chaotic Dynamics;2024-06-21

2. Almost periodic invariant tori for the NLS on the circle;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2021-06

3. Kolmogorov–Arnold–Moser theorem for nonlinear beam equations with almost-periodic forcing;Journal of Mathematical Analysis and Applications;2021-01

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