In dynamical systems theory, the Gingerbreadman map is a chaotic two-dimensional map. It is given by the piecewise linear transformation:[1]

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

See also

References

  1. ^ Devaney, Robert L. (1988), "Fractal patterns arising in chaotic dynamical systems", "The Science of Fractal Images", Springer-Verlag, pp. 137–168, doi:10.1007/978-1-4612-3784-6_3. See in particular Fig. 3.3.