# On the Hausdorff dimension of fractal attractors

@article{Grassberger1981OnTH, title={On the Hausdorff dimension of fractal attractors}, author={Peter Grassberger}, journal={Journal of Statistical Physics}, year={1981}, volume={26}, pages={173-179} }

We consider such mappingsxn+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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