Discrete map · 2D · dim 2
Ikeda map
Ikeda's 1979 model of light in a ring cavity. The complex form makes its strange attractor compact and beautifully self-similar.
Equations
z_{n+1} = A + B · z_n · exp(i (φ − γ / (1 + |z_n|²)))At a glance
| Parameters | A, B, γ, φ (typical: A = 1, B = 0.9, γ = 6, φ = 0.4) |
|---|---|
| Chaotic for | broad parameter window |
| History | Kensuke Ikeda (1979); explained experimentally observed optical chaos. |
Try it
Open the interactive playground at /tools/ikeda.