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

页码：841 / 848

页数：8

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