Title: Lipschitz perturbations of Morse-Smale semigroups,
Abstract: In this paper we will deal with Lipschitz continuous perturbations of
Morse-Smale semigroups with only equilibrium points as critical elements. We
study the behavior of the structure of equilibrium points and their connections
when subjected to non-differentiable perturbations. To this end we define more
general notions of \emph{hyperbolicity} and \emph{transversality}, which do not
require differentiability.