Gingerbreadman map

Short description: Chaotic map

Gingerbreadman map for subset $Q^2,[-10..10,-10..10]$: the color of each point is related to the relative orbit period. To view the gingerbread man, you must rotate the image 135 degrees clockwise.

In dynamical systems theory, the Gingerbreadman map is a chaotic two-dimensional map. It is given by the piecewise linear transformation:

$\{\begin{array}{l}{x}_{n+1}=1-y_n+|x_n|\\ y_{n+1}=x_n\end{array}$

A crude Gingerbreadman map made using the turtle library in python.

See also

• List of chaotic maps

External links

• Weisstein, Eric W.. "Gingerbreadman Map". http://mathworld.wolfram.com/GingerbreadmanMap.html.