A two-dimensional map similar to the Hénon map but with the term 
replaced by 
.
It is given by the equations
 |  |  |
(1)
|
 |  |  |
(2)
|
The strange attractor illustrated above results from 
, 
.
Lozi Map
See also
Gingerbreadman Map, Hénon Map, Quadratic Map, Strange AttractorExplore with Wolfram|Alpha
References
Dickau, R. M. "Lozi Attractor." http://mathforum.org/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.Referenced on Wolfram|Alpha
Lozi MapCite this as:
Weisstein, Eric W. "Lozi Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LoziMap.html