Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems

被引：0

作者：

L. Chierchia

机构：

[1] Università “Roma Tre”,Dipartimento di Matematica

来源：

Regular and Chaotic Dynamics | 2008年 / 13卷

关键词：

Kolmogorov’s theorem; KAM theory; small divisors; Hamiltonian systems; perturbation theory; symplectic transformations; nearly-integrable systems; 37J40; 70H08; 37J05; 37J25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Following closely Kolmogorov’s original paper [1], we give a complete proof of his celebrated Theorem on perturbations of integrable Hamiltonian systems by including few “straightforward” estimates.

引用

页码：130 / 139

页数：9

共 3 条

[1]

Kolmogorov AN(1954)On the Conservation of Conditionally Periodic Motions under Small Perturbation of the Hamiltonian Dokl. akad. nauk SSSR 98 527-530

[2]

Kolmogorov AN(1954)Théorie générale des systèmes dynamiques et mécanique classique (French, 1957) Proceedings of the International Congress of Mathematicians, Amsterdam 1 315-333

[3]

Arnol’d VI(1963)Proof of a Theorem by A. N. Kolmogorov on the Invariance of Quasi-Periodic Motions under Small Perturbations of the Hamiltonian Uspehi Mat. Nauk 18 13-40

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