Hénon Map

Henon map is the classic example of a discrete time dynamical system in two dimensions. One of simplest 2d systems that exhibit chaotic behavior.

defined as taking point $(x_n,y_n)$ and mapping to new point:

$$\{\begin{array}{l}{x}_{n+1}=1-a{x}_n^2+y_n\\ y_{n+1}=b{x}_n\end{array}$$

classic henon attractor with parameters $a=1.4$ and $b=0.3$