A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems-Reference-Cited by-同舟云学术

A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems

Published:2017 Issue:4 Volume:37 Page:2141-2160
ISSN:1553-5231
Container-title:Discrete & Continuous Dynamical Systems - A
language:en
Short-container-title:

Author:

Wang Xiaocai, ,Xu Junxiang,Zhang Dongfeng,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference39 articles.

1. Reversible systems,;V. I. Arnold;in: Nonlinear and Turbulent Processes in Physics,1984

2. Ordinary Differential Equations,;V. I. Arnold;Translated from the Russian by Roger Cooke,1992

3. Elliptic two-dimensional invariant tori for the planetary three-body problem,;L. Biasco;Arch. Rational Mech. Anal.,2003

4. N-dimensional elliptic invariant tori for the planar (N+1)-body problem,;L. Biasco;SIAM J. Math. Anal.,2006

5. Quasi-Periodic Motions in Families of Dynamical Systems, Order amidst Chaos,;H. W. Broer;Lecture Notes in Math.,1645

Cited by 4 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. On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations;Discrete and Continuous Dynamical Systems - B;2022
2. On the Persistence of Lower-Dimensional Tori in Reversible Systems with Hyperbolic-Type Degenerate Equilibrium Point Under Small Perturbations;Acta Applicandae Mathematicae;2021-06
3. Partial Preservation of Frequencies and Floquet Exponents of Invariant Tori in the Reversible KAM Context 2;Journal of Mathematical Sciences;2021-02-26
4. Herman's Approach to Quasi-Periodic Perturbations in the Reversible KAM Context 2;Moscow Mathematical Journal;2017