Tool

Ikeda explorer

u: 0.9180

u ≥ 0.6 yields the strange attractor.

Iterations: 80,000

Rule (real form)

t_n   = 0.4 − 6 / (1 + x_n² + y_n²)
x_{n+1} = 1 + u (x_n cos t_n − y_n sin t_n)
y_{n+1} =     u (x_n sin t_n + y_n cos t_n)

Models light pulses in a nonlinear ring cavity (Ikeda 1979). The phase shift depends on |z|², introducing the essential nonlinearity.

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