Lozi Map

A 2-D map similar to the Hénon Map which is given by the equations

$$\begin{eqnarray*} x_{n+1} &=& 1-\alpha\vert x_n\vert+y_n\\ y_{n+1} &=& \beta x_n. \end{eqnarray*}$$

See also Hénon Map

References

Dickau, R. M. ``Lozi Attractor.'' http://forum.swarthmore.edu/advanced/robertd/lozi.html.

Peitgen, H.-O.; Jürgens, H.; and Saupe, D. §12.1 in Chaos and Fractals: New Frontiers of Science. New York: Springer-Verlag, p. 672, 1992.