We present simulations of vortex dynamics in amorphous two-dimensional
thin film superconductors, using a new exact method to evaluate long-
range interactions between vortices. We find that the onset of dissipa
tion for increasing current is dominated by filamentary channels of fl
ow which are stable in a finite range of bias current. This results in
novel steps in the differential resistance, which are strongly histor
y dependent. Our results are in good agreement with recent experiments
on amorphous Mo77Ge23 superconducting thin films.