Features of Cosmological Models Based on an Asymmetric Scalar Higgs Doublet with Potential Interactions between Components. I. Behavior near Singular Points

A study of the behavior of cosmological models near singular points has been conducted, based on a previously proposed model of an asymmetric scalar Higgs doublet with potential interactions between the components. Classes of global behavior of cosmological models and the relationship between the nature of singular points and these classes were identified: the presence of initial and final singularities and rebound points.