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


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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.

About the authors

Yu. G. Ignat’ev

N. I. Lobachevsky Institute of Mathematics and Mechanics of Kazan Federal University

Author for correspondence.
Email: ignatev_yu@rambler.ru
Russian Federation, Kazan

I. A. Kokh

N. I. Lobachevsky Institute of Mathematics and Mechanics of Kazan Federal University

Email: ignatev_yu@rambler.ru
Russian Federation, Kazan

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