  We study the procedure of the reconstruction of phantom-scalar field
potentials in two-field cosmological models. It is shown that while in the
one-field case the chosen cosmological evolution defines uniquely the form of
the scalar potential, in the two-field case one has an infinite number of
possibilities. The classification of a large class of possible potentials is
presented and the dependence of cosmological dynamics on the choice of initial
conditions is investigated qualitatively and numerically for two particular
models.
