Horseshoe and entropy for C1 surface diffeomorphisms

被引：12
|
作者：
Gan, SB [1 ]
机构：
[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
NONLINEARITY | 2002年 / 15卷 / 03期
关键词：
D O I：
10.1088/0951-7715/15/3/319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M be a two-dimensional closed Riemannian manifold and denote by Diff(1)(M) the set of C-1 diffeomorphisms on M. Then, the C-1 interior of {f is an element of Diff(1) (M) : h(f) = 0} is equal to the C-1 interior of the closure of the Morse-Smale systems and equal to the C-1 interior of the set of diffeomorphisms having no horseshoe.
引用
收藏
页码：841 / 848
页数：8
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