Figure 6

In the present figure we show the transformation of$\mathcal{L}\mathbf{:}\mathbf{=}\overline{\mathcal{L}\mathbf{(}{\mathit{P}}_{\mathbf{+}}\mathbf{,}{\mathit{P}}_{\mathbf{-}}\mathbf{)}}$under the Poincaré map Φ for${\mathit{t}}_{\mathbf{+}}\mathbf{-}{\mathit{t}}_{\mathbf{-}}\mathbf{=}\mathbf{5.5}$, the same time considered in Figure5. The parameters used are $k=1$, ${\mu }_1=2$, ${\mu }_0=1/2$, as before. The point indicated by a cross is precisely the same point $\mathrm{\Phi }(P_{+})$ of Figure 5. Notice that for this time interval the point makes a little more than a complete turn around the origin. For graphical reasons, a slightly different x- and y-scaling has been used.