A notion of Denjoy sub-system

被引：0
|
作者：
Arnaud, Marie-Claude [1 ,2 ]
Le Calvez, Patrice [3 ]
机构：
[1] Avignon Univ, Lab Math Avignon EA 2151, F-84018 Avignon, France
[2] Inst Univ France, Paris, France
[3] Univ Paris Diderot, Sorbonne Univ, UPMC Univ Paris 6,Sorbonne Paris Cite, Inst Math Jussieu Paris Rive Gauche,UMR 7586,CNRS, F-75005 Paris, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 08期
关键词：
AUBRY-MATHER SETS; ANNULUS;
D O I：
10.1016/j.crma.2017.07.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a notion of Denjoy sub-system that generalizes that of the Aubry-Mather set. For such systems, we prove a result similar to Denjoy theorem (non-existence of C-2 Denjoy sub-systems), and study their Lyapunov exponents. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS.
引用
收藏
页码：914 / 919
页数：6
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