On the Hausdorff dimension of fractal attractors |
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| Authors: | P Grassberger |
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| Institution: | (1) Physics Department, University of Wuppertal, Wuppertal, Germany |
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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 ... |
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| Keywords: | One-dimensional mappings Cantor sets attractors Hausdorff dimension |
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