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In dynamical systems theory, the Gingerbreadman map is a chaotic 2D map. It is given by the transformation:

\( \begin{cases} x_{n+1} = 1 - y_n + |x_n|\\ y_{n+1} = x_n \end{cases} \)

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.

See also

List of chaotic maps

External links

Gingerbreadman map at MathWorld

Mathematics Encyclopedia

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