The final comparison we report here shows that our map representation is valid over a range of bifurcation parameter A. The two bifurcation diagrams are shown in figure 7. The upper one is calculated by our algorithm and the lower one by a standard numerical integration, and the differences between them are seen to be small.
Figure 7: Comparison of bifurcation diagrams. The upper diagram was produced
with the algorithm described in this paper; the lower one was calculated
numerically.