The Baker's Map

n

1

c

1.1

(

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.

Enrique Zeleny