  In this work we present a novel framework for the computation of finite
dimensional invariant sets of infinite dimensional dynamical systems. It
extends a classical subdivision technique [Dellnitz/Hohmann 1997] for the
computation of such objects of finite dimensional systems to the infinite
dimensional case by utilizing results on embedding techniques for infinite
dimensional systems. We show how to implement this approach for the analysis of
delay differential equations and illustrate the feasibility of our
implementation by computing invariant sets for three different delay
differential equations.
