On the distance between separatrices for the discretized logistic differential equation

Hocine Sellama

We consider the discretization y(t+ε)=y(t-ε)+2ε\big(1-y(t)^{2}\big), $\epsilon >0$ a small parameter, of the logistic differential equation $y^{\prime }=2(1-y^2)$, which can also be seen…