Global normally hyperbolic invariant cylinders in Lagrangian systems

被引：10
|
作者：
Cheng, Chong-Qing [1 ]
Zhou, Min [2 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
[2] Nanjing Univ, Sch Informat Management, Nanjing 210093, Jiangsu, Peoples R China
来源：
MATHEMATICAL RESEARCH LETTERS | 2016年 / 23卷 / 03期
关键词：
D O I：
10.4310/MRL.2016.v23.n3.a6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study Tonelli Lagrangian L is an element of C-r (TT2, R) with r >= 5. For a generic perturbation of Lagrangian L -> L + P where P is an element of C-r(T-2, R), we get simultaneous hyperbolicity of a family of minimal periodic orbits which share the same first homology class. Consequently, these periodic orbits make up one or more pieces of normally hyperbolic invariant cylinder in TT2.
引用
收藏
页码：685 / 705
页数：21
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