A catastrophe which can occur for four control factors and one behavior axis. The butterfly catastrophe is the universal unfolding of the singularity of codimension 4, i.e., with four unfolding parameters. It has the form .
The equations
display such a catastrophe (von Seggern 1993).
More things to try:
Weisstein, Eric W. "Butterfly Catastrophe." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ButterflyCatastrophe.html