  We analyze two possible vector-field models using the techniques of dynamical
systems. The first model involves a U(1)-vector field and the second a triad of
SU(2)-vector fields. Both models include a gauge-fixing term and a power-law
potential. A dynamical system is formulated and it is found that one of the
critical points, for each model, corresponds to inflation, the origin of these
critical points being the respective gauge-fixing terms. The conditions for the
existence of an inflationary era which lasts for at least 60 efolds are
studied.
