ABSTRACT
In this chapter, the authors started to initiate a new tour presenting another round of selected observations with the intention of proceeding immediately. The exploration will be performed with the aid of computers to integrate a set of model equations numerically and display the outcome in a suitable form. This process is sometimes called a numerical experiment, a name with an unsuspected potential for generating arguments. The authors present some of the numerical explorations focusing the attention not only in the observed changes of the attractors but also in the non-observable changes that accompany and prelude them. The finite orbits in a numerical experiment (which in addition are registered with finite precision) could as well be part of a periodic orbit of comparatively large period (this holds also for laboratory experiments). The basin of attraction of the two different islands (before the sudden expansion) was divided by the stable manifold of the (saddle) period-one orbit.
