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, using a=1.7, b=0.5.
Designed and rendered long ago 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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