Calculating Fractal Dimension for the Lorenz Strange Attractor

[broegger]

Hi.

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 dimension etc.): are these equivalent or does it matter which one is used?

Thanks.

 

[jim mcnamara]

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 believe it may help.

 

[broegger]

I'll try to locate that one. Thank you!