Lozi attractor

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The Lozi attractor is the orbit of the iteration

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

Here is a plot of the first 5,000 (well, 5,001) iterations.

Lozi attractor

Originally designed and rendered with Mathematica 3.0 and GifOMatic for NeXT.
See Peitgen, Jürgens, and Saupe, Chaos and Fractals: New Frontiers of Science; Springer-Verlag, New York, 1992, §12.1, p. 672.

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