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Dimension of fractal object

  1. Mar 29, 2006 #1

    How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3.

    Also, I know there is a number of different ways to define fractal dimension (Hausdorff dimension, Correlation dimension, Pointwise dimention etc.): are these equivalent or does it matter which one is used?

  2. jcsd
  3. Mar 29, 2006 #2

    jim mcnamara

    User Avatar

    Staff: Mentor

    My notes have this old citation:

    N. B. Abraham, A. M. Albano, B. Das, G. De Guzman, S. Yong, R. S.
    et al , Calculating the dimension of attractors from small data sets, Phys. Lett. A 114 (1986) 217.

    I no longer have the paper, but I beleive it may help.
  4. Mar 30, 2006 #3
    I'll try to locate that one. Thank you!
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