Evolution of the Henon Map
The Henon map
\begin{align*}
x_{n+1} &= 1-bx_n^2+y_n,\cr
y_{n+1} &= bx_n
\end{align*}
is a discrete dynamical system exhibiting chaotic behavior. The figure below shows
how the map is formed (the fine structure could not be seen from this figure).