In this paper we calculate how a pendant drop evolves at the end of a
nozzle when the volume of the drop increases steadily with time. We fi
nd that the character of the evolution is strongly dependent on the gr
owth rate of the drop and the radius of the nozzle. Typically we find
that once the drop has become unstable, two bifurcations occur shortly
after each other when the growth rate of the drop is slow. For large
growth rates the bifurcations are well-separated in time. We are able
to calculate the volumes of the drops after the bifurcations. A compar
ison with experimental data shows a satisfactory agreement.