The transversal homoclinic points are dense in the codimension-1 Henon-like strange attractors

被引：3

作者：

Cao, YL ^{[1
]}

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 06期

关键词：

Henon-like strange attractor; transversal homoclinic point;

D O I：

10.1090/S0002-9939-99-04787-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the codimension-1 Henon-like strange attractors Lambda. We prove that the transversal homoclinic points are dense in Lambda, and that hyperbolic periodic points are dense in Lambda. Moreover the hyperbolic periodic points that are heteroclinically related to the primary fixed point (transversal intersection of stable and unstable manifolds) are dense in Lambda.

引用

页码：1877 / 1883

页数：7

共 20 条

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