Title: An analytical study of a two degrees of freedom Hamiltonian 
       system associated to the reversible hyperbolic umbilic

Speaker: Thomas Wagenknecht, TU Ilmenau, Germany

We consider a class of second order ODEs which are Hamiltonian and 
additionally reversible with respect to two linear involutions and 
which possess a fixed point with a fourfold eigenvalue zero. 
We study bifurcations from this singular fixed point.

Using methods from Catastrophe Theory for an unfolding of the associated 
Hamiltonian we obtain two different systems of ODEs related to the hyperbolic 
and elliptic umbilic catastrophe, respectively. In this context we deal with a codimension two problem.