Existence of critical invariant tori

被引：18

作者：

Koch, Hans ^{[1
]}

机构：

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

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2008年 / 28卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0143385708000199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider analytic Hamiltonian systems with two degrees of freedom, and prove that every Hamiltonian on the strong local stable manifold of the renormalization group fixed point obtained in Koch [A renormalization group fixed point associated with the breakup of golden invariant tori. Discrete Contin. Dyn. Syst. A 11 (2004), 881-909] has a non-differentiable golden invariant torus (conjugacy to a linear flow).

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页码：1879 / 1894

页数：16

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