  In this work, we consider homogeneous oscillations of the inflaton field
after inflation. In particular, we obtain an analytical result for the
(average) equation of state for the oscillating inflaton field for the simplest
$\alpha$-attractor T-model. We also study the post-inflationary evolution
before inflaton decay. It is possible that during inflaton field oscillation,
the (average) equation of state is that of a cosmological constant. This leads
to the phenomenon of oscillating inflation. However, we show that the duration
of oscillating inflation is very limited.
