V. I. Arnold’s “Pointwise” KAM Theorem
- 作者: Chierchia L.1, Koudjinan C.1
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隶属关系:
- Dipartimento di Matematica
- 期: 卷 24, 编号 6 (2019)
- 页面: 583-606
- 栏目: Article
- URL: https://journals.rcsi.science/1560-3547/article/view/219390
- DOI: https://doi.org/10.1134/S1560354719060017
- ID: 219390
如何引用文章
详细
We review V. I. Arnold’s 1963 celebrated paper [1] Proof of A. N. Kolmogorov’s Theorem on the Conservation of Conditionally Periodic Motions with a Small Variation in the Hamiltonian, and prove that, optimising Arnold’s scheme, one can get “sharp” asymptotic quantitative conditions (as ε → 0, ε being the strength of the perturbation). All constants involved are explicitly computed.
作者简介
L. Chierchia
Dipartimento di Matematica
编辑信件的主要联系方式.
Email: luigi@mat.uniroma3.it
意大利, Largo S. L. Murialdo 1, Roma, I-00146
C. Koudjinan
Dipartimento di Matematica
编辑信件的主要联系方式.
Email: ckoudjinan@mat.uniroma3.it
意大利, Largo S. L. Murialdo 1, Roma, I-00146