RIDDLED BASINS

被引：414

作者：

Alexander, J. C. ^{[1
]}

Yorke, James A. ^{[1
]}

You, Zhiping ^{[1
]}

Kan, I. ^{[2
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] George Mason Univ, Dept Math, Fairfax, VA 22030 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1992年 / 2卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0218127492000446

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Theory and examples of attractors with basins which are of positive measure, but contain no open sets, are developed; such basins are called riddled. A theorem is established which states that riddled basins are detected by normal Lyapunov exponents. Several examples, both mathematically rigorous and numerical, motivated by applications in the literature, are presented.

引用

页码：795 / 813

页数：19

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