The Hénon attractor

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The Hénon attractor is the orbit of the iteration

 H(x,y) = (y + 1 - a x^2, b x)

Here we plot the first 5,000 iterates of H, with a = 1.4 and b = 0.3.

[ Henon attractor ]

Correlations between x-values with lags one through six:

[ Correlations plot ]

Designed and rendered using Mathematica 3.0 for the Apple Macintosh, based on images from Peitgen et al, Chaos and Fractals, Springer-Verlag, 1992.

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