  We present a study of the scaling properties of bipolar outflows, generic to
the circumstellar environment of young stellar objects, and which are generally
believed to be magnetohydrodynamically driven. Our work consists of a
multifractal analysis of near-infrared light scattered by dust grains in the
lobes of seven bipolar nebulae, namely GGD 18, V380 Orionis, LkH\alpha 101/NGC
1579, LkH\alpha 233, PV Cephei, V645 Cygni (GL 2789), and V633 Cassiopeiae
(LkH\alpha 198). We argue that these objects pertain to a multifractal
universality class, with the corresponding universal parameters averaged over
the ensemble yielding alpha= 1.96 +/- 0.02, C_1=0.04 +/- 0.02, and H=0.7 +/-
0.2; these results might suggest that the dynamics of the observed objects are
similar. We then proceed to investigate the existence of anisotropy in the
scaling of GGD 18 using the Generalized Scale Invariance (GSI) formalism. It is
found that differential rotation and stratification are involved in the outflow
mechanism. The stratification is believed to be dynamical in nature i.e.,
gravity is apparently not the dominant stratifying force.
