Analyse numérique du comportement d'une solution presque périodique d'une équation différentielle périodique par une méthode des sections

After having reminded the reader of the cross section method used by Jean (Int. J. Non-Linear Mech. 15, 367–376, 1980) to localise almost periodic solutions to a T-periodic ordinary differential equation, we give a numerical approximation of the said method. Numerical results are then presented together with evidence of successive bifurcations of the initial torus of solutions into double, quadruple, etc.