# Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Couplings. I. Qualitative Analysis of the Model

## TL;DR

This paper conducts a qualitative analysis of a cosmological model involving an asymmetric scalar doublet with minimal couplings, revealing various stationary points and their physical implications.

## Contribution

It provides a detailed qualitative analysis of the dynamical system of an asymmetric scalar doublet cosmological model, identifying stationary points and their stability.

## Key findings

- The model exhibits 1, 3, or 9 stationary points depending on parameters.
- Stationary points include attractive, repulsive centers, and saddle points.
- The analysis offers insights into the physical behavior of the cosmological model.

## Abstract

A qualitative analysis of a cosmological model based on the asymmetric scalar doublet classical + phantom scalar field with minimal interaction is performed. It is shown that depending on the parameters of the model, the corresponding dynamical system can have 1, 3, or 9 stationary points corresponding to attractive or repulsive centers (1--5) and saddle points (0--4). A physical analysis of the model is performed.