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
收藏
页码：587 / 611
页数：25
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