A SUPERFAT CHAOTIC ATTRACTOR

被引：8

作者：

KUBE, MC ^{[1
]}

ROSSLER, OE ^{[1
]}

HUDSON, JL ^{[1
]}

机构：

[1] UNIV TUBINGEN,DIV THEORET CHEM,W-7400 TUBINGEN 1,GERMANY

来源：

CHAOS SOLITONS & FRACTALS | 1993年 / 3卷 / 02期

关键词：

D O I：

10.1016/0960-0779(93)90060-E

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A 4-variable invertible map with a chaotic attractor is investigated. Henon's 2-variable map is used to force two weakly dissipative, linear variables. We determined the fractal dimension of the attractor of the 4-variable map to be larger than three, which is in accordance with the Kaplan-Yorke conjecture. The topological dimension of the attractor, however, is unity on a dense subset, and therefore, presumably on the whole attractor. The present attractor therefore appears to be an example of a ''superfat'' attractor, which is an attractor with a dimension gap of more than two.

引用

页码：141 / 148

页数：8

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