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Russian Physics Journal

, Volume 61, Issue 6, pp 1079–1092 | Cite as

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

  • Yu. G. Ignat’ev
  • I. A. Kokh
ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
  • 10 Downloads

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.

Keywords

cosmological model asymmetric scalar doublet qualitative analysis 

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References

  1. 1.
    Yu. G. Ignat’ev, Space, Тime and Fund. Interact., No. 2, 36–52 (2017).Google Scholar
  2. 2.
    O. I. Bogoyavlenskii, Methods of the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics [in Russian], Nauka, Moscow (1980).Google Scholar
  3. 3.
    N. N. Bautin and E. A. Leontovich, Methods and Techniques for Qualitative Investigation of Dynamical Systems in the Plane [in Russian], Nauka, Moscow (1989).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.N. I. Lobachevsky Institute of Mathematics and Mechanics of Kazan Federal UniversityKazanRussia

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