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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