Exact solutions in Friedmann cosmology with scalar fields

The method of exact analysis of cosmological dynamics at the early inflation stage of the evolution of the Friedman Universe, which is determined by the dynamics of the scalar field for the case of minimal and nonminimal interaction of the field and curvature is considered in this work. The basis of the method is to reduce the equations of dynamics to the same form for all models. The proposed approach allows us to compare models based on the different theories of gravity.