The catastrophe locus in the space of parameters a, b, c for the most general perturbation of f(x) = x5. The locus separates perturbations with no minimum (green-sided region), perturbations with one minumum (blue-sided region) and perturbations with two minima (pink-sided region). |
The red line is a one-dimensional section of parameter space which, read going upwards, has a process change from one minimum to two minima, then back to one minimum which disappears. The corresponding verb class is suicide: the subject emits an instrument which then kills it: "The bird lays an egg, swallows it, and dies." |
6. The swallowtail: "The bird lays an egg, swallows it and dies."
|
Comments:webmaster@ams.org
© Copyright 2001, American Mathematical Society |