Discrete map · 2D · dim 2
Hénon map
Hénon's 1976 reduction of the Lorenz system. The Hénon attractor at a = 1.4, b = 0.3 is the most-studied 2D strange attractor, with Hausdorff dimension ≈ 1.261.
Equations
x_{n+1} = 1 − a · x_n² + y_n
y_{n+1} = b · x_nAt a glance
| Parameters | a, b ∈ ℝ (classic: a = 1.4, b = 0.3) |
|---|---|
| Chaotic for | a ≈ 1.4, b ∈ (0.21, 0.32) |
| Lyapunov exponent | λ₁ ≈ 0.42 (classical) |
| History | Hénon (1976), 'A two-dimensional mapping with a strange attractor'. |
Try it
Open the interactive playground at /tools/henon.