  It is described dynamics of a large class of accelerating cosmological models
in terms of dynamical systems of the Newtonian type. The evolution of the
models is reduced to the motion of a particle in a potential well parameterized
by the scale factor. This potential function can be reconstructed from distant
supernovae type Ia data and many cosmological models represented in terms of
the potential becomes in a good agreement with current observational data. It
is proposed to use the information criteria to overcome this degeneracy within
a class of A) dark energy models and B) simple models basing on modification of
the FRW equation. Two class of models can be recommended by the Akaike (AIC)
and Schwarz (BIC) information criteria: the phantom and $\Lambda$CDM models.
