## Correlation Exponent

A measure of a Strange Attractor which allows the presence of Chaos to be distinguished from random noise. 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 D 9, 189-208, 1983.

© 1996-9 Eric W. Weisstein
1999-05-25