\(\displaystyle X_{n+1}= \gamma + \mu(X_n \cos \phi - Y_n \sin \phi)\)
\(\displaystyle Y_{n+1}= \mu (X_n \sin \phi + Y_n \cos \phi)\)

Ikeda avbildning med X0=0, Y0=0, alfa=6, beta=0.4, gamma=1 og mu=0.9. Phi er:
\(\displaystyle \phi= \beta - \frac{\alpha }{(1 + X_n^2 + Y_n ^2)}\)
Ikeda J: Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system. Optics Communications 30 (1979)257-261.
Sprott JC: Chaos and time-series analysis. Oxford University Prress (2008).