\(\displaystyle X_{n+1}= X_n + Y_n + \delta \cos 2\pi Y_n (mod 1)\)
\(\displaystyle Y_{n+1}= X_n + 2Y_n (mod 1)\)

Sinai-avbildning med delta=0.1, X0=0.5 og Y0=0.5
Sinai, Ya.G. Gibbs measures in ergodic theory. Russ. Math. Surveys 27(1972)21-69.
Julien Clinton Sprott: Chaos and time-series analysis. Oxford University Prress (2008).