Bogdanov map

In dynamical systems theory, the Bogdanov map is a chaotic 2D map related to the Bogdanov–Takens bifurcation. It is given by the transformation:



\begin{cases} x_{n+1} = x_n + y_{n+1}\\ y_{n+1} = y_n + \epsilon y_n + k x_n (x_n - 1) + \mu x_n y_n \end{cases} $$

The Bogdanov map is named after Rifkat Bogdanov.