This conclusion has been vigouriously resisted by people intellectually wedded to statistical analytical methodologies and techniques. Several reasons for this but, in my view, the most important being it eliminates the ability to pontificate all over the place.
I think, but cannot prove, one could use Catastrophe Theory as a qualitative tool for to describe Chaotic bifurcation to a different wing of a Lorenz Butterfly, say. To actually show this would reguire more math than I care to handle. :-)