Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom

被引：8

作者：

Chandre, C ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Phys, Ctr Nonlinear Sci, Atlanta, GA 30332 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2002年 / 2卷 / 03期

关键词：

renormalization; invariant tori; Hamiltonian systems;

D O I：

10.3934/dcdsb.2002.2.457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the break-up of invariant tori in Hamiltonian systems with two degrees of freedom with a frequency which belongs to a cubic field. We define and construct renormalization-group transformations in order to determine the threshold of the break-up of these tori. A first transformation is defined from the continued fraction expansion of the frequency, and a second one is defined with a fixed frequency vector in a space of Hamiltonians with three degrees of freedom.

引用

页码：457 / 465

页数：9

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