Discrete map · 2D · dim 2
Lozi map
Piecewise-linear variant of Hénon. The Lozi attractor is a verifiable strange attractor (Misiurewicz's theorem 1980), unlike Hénon's, which is still open at the rigorous level.
Equations
x_{n+1} = 1 − a · |x_n| + y_n
y_{n+1} = b · x_nAt a glance
| Parameters | a, b ∈ ℝ (classic: a = 1.7, b = 0.5) |
|---|---|
| Chaotic for | broad band |
| History | Lozi (1978); rigorous strange attractor proof by Misiurewicz (1980). |
Try it
Open the interactive playground at /tools/henon.