Generic family with robustly infinitely many sinks

被引：28

作者：

Berger, Pierre ^{[1
]}

机构：

[1] Univ Paris 13, F-93430 Villetaneuse, France

来源：

INVENTIONES MATHEMATICAE | 2016年 / 205卷 / 01期

关键词：

SURFACE DIFFEOMORPHISMS; HOMOCLINIC TANGENCY; GLOBAL PERSPECTIVE; DYNAMICS; HYPERBOLICITY; MAPS; DIMENSIONS; ATTRACTORS; SETS;

D O I：

10.1007/s00222-015-0632-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show, for every or , the existence of a Baire generic set of -families of -maps of a manifold M of dimension 2, so that for every a small the map has infinitely many sinks. When the dimension of the manifold is 3, the generic set is formed by families of diffeomorphisms. When M is the annulus, this generic set is formed by local diffeomorphisms. This is a counter example to a conjecture of Pugh and Shub.

引用

页码：121 / 172

页数：52

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