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Correlation Dimension d c

Correlation Dimension d c. Another measure of dimension Consider one point on a fractal and calculate the number of other points N(s) which have distances less than s. Average over all starting points C(s) Plot ln(C(s)) against log(s) gradient=d c. Example. Henon Map -

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FRACTALS The Geometry of Nature

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Correlation Dimension d c

FRACTALS The Geometry of Nature