The high time-resolution radio sky represents unexplored astronomical
territory. This thesis presents a study of the transient radio sky,
focussing on millisecond scales. As such, the work is concerned
primarily with neutron stars. In particular this research concentrates
on a recently identified group of neutron stars, known as RRATs, which
exhibit radio bursts every few minutes to every few hours. After
analysing neutron star birthrates, a re-analysis of the Parkes Multibeam
Pulsar Survey is described which has resulted in the discovery of 19 new
transient radio sources. Of these, 12 have been seen to repeat and a
follow-up campaign of observations has been undertaken. These studies
have greatly increased our knowledge of the rotational properties of
RRATs and enable us to conclude that they are pulsars with extreme
nulling and/or pulse-to-pulse modulation. Although the evolution of
neutron stars post-supernova is not yet understood, it seems that RRATs
fit into the emerging picture in which pulsar magnetospheres switch
between stable configurations.