  Oscillons are long-lived, slowly radiating solutions of nonlinear classical
relativistic field theories. Recently it was discovered that in one spatial
dimension their decay may proceed in "staccato" bursts. Here we perform a
systematic numerical study to demonstrate that although this behaviour is not
confined to one spatial dimension, it quickly becomes unobservable when the
dimension of space is increased, at least for the class of potentials
considered here. To complete the picture we also present explicit results on
the dimension dependence of the collapse instability observed for
three-dimensional oscillons.
