Abstract
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.
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