The dynamical collapse of a magnetically supported molecular cloud wit
h ambipolar diffusion (hereafter AD) is numerically investigated. Each
of the five cloud models considered here has a fixed mass of 1M., a p
rescribed outer boundary where the normal derivative of the total pres
sure vanishes. In these models, there is no dynamical collapse if AD i
s excluded. It is shown that owing to the strong non-linearity exhibit
ing the effective AD term, AD appears to be operating in different reg
ions with completely different time scales. The models with AD undergo
dynamical contraction on a dilute free-fall time scale (tau(ff)) rang
ing between 1.1 - 3.0 tau(ff), depending on the ionization fraction in
the cloud considered. It is shown that a shock is always formed at th
e center which thereafter propagates radially outwards into the high l
atitudinal regions leaving quasi ma,onetohydrostatic density profiles
behind its shock front. If AD is present, these structures do not surv
ive and start to collapse to form a central point mass surrounded by a
highly condensed disk-like configuration. Thus, AD is actually able t
o change the flow configuration on time scales comparable to fractions
of tau(ff). Furthermore, AD appears to give rise to an inside-outside
collapse via a magnetosonic expansion wave which starts its motion fr
om the center.