English: An example showing the time-evolution of Baker's transformation and sensitivity to initial conditions of chaos. The following difference equations (map) are used:

${\displaystyle (x_{n+1},\ y_{n+1})={\begin{cases}(2x_{n},\ 0.5y_{n})&0\leq x_{n}\leq 0.5\\(2x_{n}-1,\ 0.5y_{n}+0.5)&0.5<x_{n}\leq 1\end{cases}}}$

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).