A Kaplan-Yorke dimension is defined by
 |
(1)
|
where 
are Lyapunov characteristic exponents
and 
is the largest integer for which
 |
(2)
|
If 
,
where 
is the correlation exponent, 
the information dimension,
and 
the Hausdorff dimension, then
 |
(3)
|
(Grassberger and Procaccia 1983).
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References
Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D 9, 189-208, 1983.Referenced
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Kaplan-Yorke Dimension
Cite this as:
Weisstein, Eric W. "Kaplan-Yorke Dimension."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Kaplan-YorkeDimension.html
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