  The `radio sky' is relatively unexplored for transient signals, although the
potential of radio-transient searches is high, as demonstrated recently by the
discovery of a previously unknown type of source which varies on timescales of
minutes to hours. Here we report a new large-scale search for radio sources
varying on much shorter timescales. This has revealed 11 objects characterized
by single, dispersed bursts having durations between 2 and 30 ms. The average
time intervals between bursts range from 4 minutes to 3 hours, with radio
emission typically detectable for < 1 s per day. From an analysis of the burst
arrival times, we have identified periodicities in the range 0.4 - 7 s for ten
of the 11 sources, suggesting a rotating neutron star origin. Despite the small
number of sources presently detected, their ephemeral nature implies a total
Galactic population which significantly exceeds that of the regularly pulsing
radio pulsars. Five of the ten sources have periods greater than 4 s, and
period derivatives have been measured for three of the sources, with one having
a very high inferred magnetic field of 5e13 G, suggesting that this new
population is related to other classes of isolated neutron stars observed at
X-ray and gamma-ray wavelengths.
