Some hyperbolicity results for Henon-like diffeomorphisms

被引：6

作者：

Hoensch, Ulrich A. ^{[1
]}

机构：

[1] Rocky Mt Coll, Billings, MT 59102 USA

来源：

NONLINEARITY | 2008年 / 21卷 / 03期

关键词：

D O I：

10.1088/0951-7715/21/3/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two dimensional C-2 diffeomorphisms satisfying certain geometric conditions and study their boundary of hyperbolicity. Assuming small Jacobian determinant, we obtain uniform hyperbolicity of an induced first-return map off the orbit of the homoclinic tangency. Our results apply to orientation-preserving Henon maps with small Jacobian determinant.

引用

页码：587 / 611

页数：25

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