  Recent analyses of the anisotropy of cosmic rays at $10^{18}$ eV (the AGASA
and SUGAR data) show significant excesses from regions close to the Galactic
Centre and Cygnus. Our aim is to check whether such anisotropies can be caused
by single sources of charged particles. We investigate propagation of protons
in two models of the Galactic regular magnetic field (with the irregular
component included) assuming that the particles are injected by a short lived
discrete source lying in the direction of the Galactic Centre. We show that
apart from a prompt image of the source, the regular magnetic field may cause
delayed images at quite large angular distances from the actual source
direction. The image is strongly dependent on the time elapsed after ejection
of particles and it is also very sensitive to their energy. For the most
favourable conditions for particle acceleration by a young pulsar the predicted
fluxes are two to four order of magnitudes higher than that observed. The
particular numbers depend strongly on the Galactic magnetic field model adopted
but it looks that a single pulsar in the Galactic Centre could be responsible
for the observed excess.
