WOLFRAM|DEMONSTRATIONS PROJECT

The Baker's Map

​
n
1
c
0.842
(
x
0
,
y
0
)
The baker's map here is
(
x
n+1
,
y
n+1
)=
(c
x
n
,2
y
n
)
y
n
≤1/2
(1+c(
x
n
-1),1+2(
y
n
-1))
y
n
>1/2
computed modulo 1.
It maps the unit square to itself and this map is iterated. The plots at the bottom show the trajectory for an initial value
(
x
0
,
y
0
)
that is the point marked in red.