A measure of a Strange Attractor which allows the presence of Chaos to be distinguished from randomnoise. It is related to the Capacity Dimension and Information Dimension , satisfying
(1)
It satisfies
(2)
where is the Kaplan-Yorke Dimension. As the cell size goes to zero,
(3)
where is the Correlation Dimension.
References
Grassberger, P. and Procaccia, I. ``Measuring the Strangeness of Strange Attractors.'' Physica D9, 189-208, 1983.