Total destruction of invariant tori for the generalized Frenkel-Kontorova model

被引：0

作者：

Su, Xifeng ^{[1
]}

Wang, Lin ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2012年 / 53卷 / 02期

关键词：

MINIMAL SOLUTIONS; KAM; STATES;

D O I：

10.1063/1.3683233

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider generalized Frenkel-Kontorova models on higher dimensional lattices. We show that the invariant tori which are parameterized by continuous hull functions can be destroyed by small perturbations in the C-r topology with r < 1. (C) 2012 American Institute of Physics. [doi:10.1063/1.3683233]

引用

页数：7

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