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A “superfat” chaotic attractor

✍ Scribed by M.C. Kube; O.E. Rossler; J.L. Hudson

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
439 KB
Volume
3
Category
Article
ISSN
0960-0779

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✦ Synopsis

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.

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