Abstract:
We investigate a scalar field described by a cubic nonlinear Klein-Gordon equation. Using approximate solutions we study the models for the scalar fields and the scalar potentials. The evolution of the field is determined by the quantum perturbations, bifurcations and resonances. We believe that the solutions give coherent model for the emergence and initial evolution of the Universe. A scenario is developed, when the Universe begins in a state that differs greatly from that of the theories of the Big Bang and the inflation.