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

Authors
  • Ignat’ev, Yu. G.1
  • Kokh, I. A.1
  • 1 N. I. Lobachevsky Institute of Mathematics and Mechanics of Kazan Federal University, Kazan, Russia , Kazan (Russia)
Type
Published Article
Journal
Russian Physics Journal
Publisher
Springer US
Publication Date
Oct 11, 2018
Volume
61
Issue
6
Pages
1079–1092
Identifiers
DOI: 10.1007/s11182-018-1500-9
Source
Springer Nature
Keywords
License
Yellow

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.

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