Title: Hamiltonian systems near reversible relative equilibria

Speaker: Claudia Wullf, FU Berlin 

We give explicit differential equations for the
dynamics near reversible
relative equilibria which split it into motion along the group orbit
and motion inside a slice transversal to the group orbit.
In particular we analyze the
form of the differential equations that is inherited from the
symplectic structure and symmetry properties of the underlying flow.
The effects of time reversing symmetries are included.
We briefly discuss drift behaviour and illustrate how the
equations can be used to obtain information on linear stability and
persistence of relative equilibria. The results should also prove useful
in the general bifurcation theory of relative equilibria of
(reversible) Hamiltonian systems.