  Observations and theoretical studies have demonstrated that the pulsed
spectra of all gamma-ray pulsars terminate at energies below a few hundred GeV.
In most cases we expect this cutoff energy E_o to be around 10 GeV. Only with
next generation ground-based gamma-ray telescopes, which are expected to have
non-zero trigger probabilities near 10 GeV, can we expect to detect pulsations.
The large gamma-ray fluxes below E_o, together with the associated sharp pulse
profiles, compensate for the lack of imaging capability near threshold. For
H.E.S.S. we find that the pulsed component of PSR B1706-44 should be detectable
near threshold, whereas the unidentified GeV EGRET sources should be detectable
if the superexponential cutoff energy is larger that approximately 30 GeV for
relatively hard pulsar photon spectra (~E^-1.5).
