H. Sellama

most citedOn the distance between separatrices for the discretized pendulum equation

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math.DS2008★ 1 cited

On the distance between separatrices for the discretized pendulum equation

Hocine Sellama

We consider the discretization q(t+ε)+q(t-ε)-2q(t)=ε^{2}\sin\big(q(t)\big), $ε > 0$ a small parameter, of the pendulum equation $q^{''} = sin (q)$ ; in system form, we have the discr…

math.DS2007

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), $ε > 0$ a small parameter, of the logistic differential equation $y^{'} = 2 (1 - y^{2})$ , which can also be seen…