At K.U.Leuven, we have developed a Matlab-based software package DDE-BIFTOOL for the numerical bifurcation analysis of systems of delay differential equations with fixed and/or state-dependent delays. We use a collocation approach for the computation of periodic solutions and their stability. We have extended this method to compute homoclinic and heteroclinic orbits, using an appropriate choice of the boundary conditions. The capabilities of DDE-BIFTOOL will be illustrated through the analysis of some model problems, incl. travelling waves in delay partial differential equations. This is joint work with Koen Engelborghs, Tatyana Luzyanina and Giovanni Samaey.