The Lorenz system is very stable in the sense that we can always be confident that the small perturbations will only lead to solutions which are confined to the same global attractor. This can change, however, when we modify one of the internal systems parameters: We can now obtain configurations where the system would exhibit an attractor with a different type of sensitivity. Small changes now not only would determine the fate of individual orbits on the attractor, but the fate of the whole attractor can become sensitive to very small external perturbations [24]. The system could be pushed into a new and qualitatively different attractor (internal crisis) or the system could collapse altogether in the sense that the solutions would diverge (external crisis) [10].