Generic diffieomorphisms away from homoclinic tangencies and heterodimensional cycles

被引：46

作者：

Wen, L ^{[1
]}

机构：

[1] Peking Univ, Sch Math, Beijing 100871, Peoples R China

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2004年 / 35卷 / 03期

基金：

中国国家自然科学基金;

关键词：

hyperbolic diffeomorphism; homoclinic tangency; heterodimensional cycle; generic property; dominated splitting;

D O I：

10.1007/s00574-004-0023-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The C-1 density conjecture of Palis asserts that diffeomorphisms exhibiting either a homoclinic tangency or a heterodimensional cycle are C-1 dense in the complement of the C-1 closure of hyperbolic systems. In this paper we prove some results towards the conjecture.

引用

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页码：419 / 452

页数：34

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