A SUPERFAT CHAOTIC ATTRACTOR

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 th e 4-variable map to be larger than three, which is in accordance with the Kaplan-Yorke conjecture. The topological dimension of the attracto r, however, is unity on a dense subset, and therefore, presumably on t he whole attractor. The present attractor therefore appears to be an e xample of a ''superfat'' attractor, which is an attractor with a dimen sion gap of more than two.