  We consider a magnetized degenerate gas of fermions as the matter source of a
homogeneous but anisotropic Bianchi I spacetime with a Kasner--like metric. We
examine the dynamics of this system by means of a qualitative and numerical
study of Einstein-Maxwell field equations which reduce to a non--linear
autonomous system. For all initial conditions and combinations of free
parameters the gas evolves from an initial anisotropic singularity into an
asymptotic state that is completely determined by a stable attractor. Depending
on the initial conditions the anisotropic singularity is of the ``cigar'' or
``plate'' types.
