• DOI:10.1007/BF01106792
Corpus ID: 119833080

On the Hausdorff dimension of fractal attractors

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

• P. Grassberger
• Published 1981
• Mathematics
• Journal of Statistical Physics

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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 ...