Fractal properties of robust strange nonchaotic attractors in maps of two or more dimensions

被引：55

作者：

Kim, JW ^{[1
]}

Kim, SY

Hunt, B

Ott, E

机构：

[1] Univ Maryland, Inst Res Elect & Appl Phys, College Pk, MD 20742 USA

[2] Univ Maryland, Dept Phys, College Pk, MD 20742 USA

[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

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

[5] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA

[6] Kangwon Natl Univ, Dept Phys, Chunchon 200701, Kangwon Do, South Korea

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.67.036211

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the existence of robust strange nonchaotic attractors in a simple class of quasiperiodically forced systems. Rigorous results are presented demonstrating that the resulting attractors are strange in the sense that their box-counting dimension D-0 is larger than their information dimension D-1 by 1 (i.e., D-0 = D-1+1). We also show how this property is manifested in numerical experiments.

引用

页数：8

共 26 条

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