  We consider a variant of Hybrid Inflation, where inflation is driven by two
interacting scalar fields, one of which has a `Mexican hat' potential and the
other a quartic potential. Given the appropriate initial conditions one of the
fields can be trapped in a false vacuum state, supported by couplings to the
other field. The energy of this vacuum can be used to drive inflation, which
ends when the vacuum decays to one of its true minima. Depending on parameters,
it is possible for inflation to proceed via two separate epochs, with the
potential temporarily steepening sufficiently to suspend inflation. We use
numerical simulations to analyse the possibilities, and emphasise the
shortcomings of the slow-roll approximation for analysing this scenario. We
also calculate the density perturbations produced, which can have a spectral
index greater than one.
