  Gutzwiller's trace formula for the semiclassical density of states diverges
at the bifurcation points of periodic orbits and has to be replaced with
uniform semiclassical approximations. We present a method to derive these
expressions from the standard representations of the elementary catastrophes
and to directly relate the uniform solutions to classical periodic orbit
parameters, thereby circumventing the numerical application of normal form
theory. The technique allows an easy handling of ungeneric bifurcations with
corank 2 such as the umbilic catastrophes and is demonstrated on a hyperbolic
umbilic in the diamagnetic Kepler problem.

Chaotic Dynamics;Chaotic Dynamics