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单词 Correlation Exponent
释义

Correlation Exponent

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 D 9, 189-208, 1983.


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