  The present paper is devoted to the study of stability, uniqueness and
recurrence of generalized traveling waves of reaction-diffusion equations in
time heterogeneous media of ignition type, whose existence has been proven by
the authors of the present paper in a previous work. It is first shown that
generalized traveling waves exponentially attract wave-like initial data. Next,
properties of generalized traveling waves, such as space monotonicity and
exponential decay ahead of interface, are obtained. Uniqueness up to space
translations of generalized traveling waves is then proven. Finally, it is
shown that the wave profile of the unique generalized traveling wave is of the
same recurrence as the media. In particular, if the media is time almost
periodic, then so is the wave profile of the unique generalized traveling wave.
