Lozi Attractor

view

attractor

iterations to escape

α

1.7

β

0.5

steps

4000

The French mathematician René Lozi introduced a piecewise linear version of the Hénon map [1] with applications in secure communications [2]. It is a 2D invertible iterated map that yields a chaotic attractor. Selecting "attractor" shows the iterates of this map with initial value

(0,0)

, and selecting "iterations to escape" colors points in the plane based on how long it takes the sequence of iterates with that initial value to escape the region

[-10,10]

.