Verified cosmological inflation models with generalised scalar field potential

Cosmological inflation models with a generalized potential based on exact solutions of the cosmological dynamics equations are considered. In this case, the mechanism for implementing the inflationary stage depends on the choice of model parameters. The constructed models satisfy modern observational constraints on the parameters of cosmological perturbations for super-Planck scalar fields. It is shown that in the case of Einstein–Gauss–Bonnet gravity it is possible to apply the proposed approach for sub-Planck scalar fields. It is also shown that when taking into account the non-minimal coupling of the scalar field and the Gauss–Bonnet scalar, the expected contribution of relic gravitational waves to the anisotropy and polarization of CMB is significantly less than modern observational constraints.