Correlation Exponent

A measure nu of a strange attractor which allows the presence of chaos to be distinguished from random noise. It is related to the capacity dimension D and information dimension sigma, satisfying


It satisfies


where D_(KY) is the Kaplan-Yorke dimension. As the cell size goes to zero,


where D_2 is the correlation dimension.

See also

Correlation Dimension, Information Dimension, Kaplan-Yorke Dimension

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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.

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