The Bogdanov map is the serie defined by : $$\begin{cases} x_{{n+1}}=x_{n}+y_{{n+1}}\ y_{{n+1}}=y_{n}+\epsilon y_{n}+kx_{n}(x_{n}-1)+\mu x_{n}y_{n} \end{cases}$$
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The Bogdanov map is the serie defined by : $$\begin{cases} x_{{n+1}}=x_{n}+y_{{n+1}}\ y_{{n+1}}=y_{n}+\epsilon y_{n}+kx_{n}(x_{n}-1)+\mu x_{n}y_{n} \end{cases}$$