, Volume 26, Issue 1, pp 173-179

On the Hausdorff dimension of fractal attractors

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Abstract

We consider such mappingsx n+1=F(xn) of an interval into itself for which the attractor is a Cantor set. For the same class of mappings for which the Feigenbaum scaling laws hold, we show that the Hausdorff dimension of the attractor is universally equal toD=0.538 ...