On the Hausdorff dimension of fractal attractors
Journal of Statistical PhysicsPublished 1 September 1981
Peter Grassberger
Citations126
SJR quartileQ2
SJR score0.67
SNIP1.00
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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 ...
Keywords
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