An example showing the time-evolution of Baker's transformation and sensitivity to initial conditions of chaos. The following difference equations (map) are used: : (x_{n+1},\ y_{n+1})= \begin{cases} (2 x_n,\ 0.5 y_n) & 0 \le x_n \le 0.5 \\ (2 x_n - 1, \ 0.5 y_n + 0.5)& 0.5 < x_n \le 1 \end{cases} The figure shows 20 times iteration (n is from 0 to 20). The initial coordinate (x0, y0) of the blue trajectory is (0.2 + 10-5, 0.2 + 10-5) and that of the orange trajectory is (0.2 - 10-5, 0.2 - 10-5).