  We construct a Floer type boundary operator for generalised Morse-Smale
dynamical systems on compact smooth manifolds by counting the number of
suitable flow lines between closed (both homoclinic and periodic) orbits and
isolated critical points. The same principle works for the discrete situation
of general combinatorial vector fields, defined by Forman, on CW complexes. We
can thus recover the $\mathbb{Z}_2$ homology of both smooth and discrete
structures directly from the flow lines (V-paths) of our vector field.
