A “superfat” chaotic attractor

A 4-variable invertible map with a chaotic attractor is investigated. Hénon'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-York...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 3; no. 2; pp. 141 - 148
Main Authors Kube, M.C., Rossler, O.E., Hudson, J.L.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.1993
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Summary:A 4-variable invertible map with a chaotic attractor is investigated. Hénon'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.
ISSN:0960-0779
1873-2887
DOI:10.1016/0960-0779(93)90060-E