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.
See also
Correlation Dimension,
Information Dimension,
Kaplan-Yorke
Dimension
Explore with Wolfram|Alpha
References
Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D 9, 189-208, 1983.Referenced
on Wolfram|Alpha
Correlation Exponent
Cite this as:
Weisstein, Eric W. "Correlation Exponent."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CorrelationExponent.html
Subject classifications
