Anosov Map

An important example of a Anosov Diffeomorphism.

$$\left[{\matrix{x_{n+1} \cr y_{n+1}\cr}}\right] = \left[{\mat... ... \cr 1 & 1\cr}}\right]\left[{\matrix{x_n \cr y_n \cr}}\right],$$

where $x_{n+1}, y_{n+1}$ are computed mod 1.

See also Arnold's Cat Map