We have fabricated superconducting weakly coupled wire networks made i
n thin amorphous niobium-silicon films of high normal-state resistivit
y and have investigated vortex dynamics in these networks. For the tem
peratures of interest, the wires have a width in the order of, and a l
ength much larger than the Ginzburg-Landau (GL) coherence length. We f
ind that the vortex mobility in the wire networks is much lower than i
n Josephson junction arrays. The ratio of the length of the single wir
es to the GL coherence length determines whether a Kosterlitz-Thouless
-Berezinskii transition can be observed in zero field, as well as osci
llations at low temperatures in the magnetoresistance. At low temperat
ures the critical current does not show oscillations in a magnetic fie
ld, which might be a consequence of the existence of special vortex co
nfigurations in networks with a linear current-phase relation.