Perturbation theory of superintegrable systems Jean-Pierre Françoise
(jpf@ccr.jussieu.fr) Abstract Superintegrable systems display special distributions of periodic orbits. We will discuss the relation with isochronous systems as well as a natural framework for perturbation theory. We will discuss more particularly examples of Ruijsennars-Schneider type. A general procedure to find systems which exhibit full open sets of periodic orbits have been studied jointly with F. Calogero and M. Sommacal and it will be presented. |