SYSTEM_PARAMETERS
PRESETS
Classic IkedaSHAPE_PARAMETERS
0.918
0.10
Single Orbit only 0.00
Single Orbit only 800
100
RENDER_CONTROLS
250
1.5
0.60
t(n) = 0.4 − 6 / (1 + x² + y²)
x(n+1) = 1 + u·(x·cos t − y·sin t)
y(n+1) = u·(x·sin t + y·cos t)
LIVE_RENDER // CANVAS
LIVE_RENDER
DATA_LOG: IKEDA_MAP
The Ikeda Map is a two-dimensional discrete nonlinear system that produces spiral and fractal-like chaotic attractors. Each point is repeatedly transformed by a rotation, scaling, and shift. As the feedback parameter changes, the system can transition from simple behavior to complex chaotic motion. Unlike continuous systems such as the Lorenz or Rössler attractors, the Ikeda Map advances in separate steps. This makes it closer to map-based systems such as the Hénon, Lozi, Logistic, and Standard Map modules, while giving it a distinct spiral visual structure.