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.
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页码：419 / 452
页数：34
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