Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori

被引：21

作者：

Kocic, S ^{[1
]}

机构：

[1] Univ Texas, Dept Phys, Austin, TX 78712 USA

来源：

NONLINEARITY | 2005年 / 18卷 / 06期

关键词：

D O I：

10.1088/0951-7715/18/6/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a rigorous renormalization scheme for two-degree-of-freedom analytic Hamiltonians associated with Diophantine frequency vectors. We prove the existence of an attracting, integrable limit set of the renormalization. As an application of this renormalization scheme, we give a proof of a KAM theorem. We construct analytic invariant tori with Diophantine frequency vectors for near-integrable Hamiltonians in the domain of attraction of this limit set.

引用

页码：2513 / 2544

页数：32

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