Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Connections. III. Multiply-Connected Factor and Character of the Singular Points
- Authors: Ignat’ev Y.G.1, Kokh I.A.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 62, No 2 (2019)
- Pages: 242-251
- Section: Article
- URL: https://journal-vniispk.ru/1064-8887/article/view/241545
- DOI: https://doi.org/10.1007/s11182-019-01706-y
- ID: 241545
Cite item
Abstract
On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields, both classical and phantom, the behavior of the model near zero energy hypersurfaces has been revealed. The influence of the multiply connected factor of the phase space of the dynamical system, this factor being a consequence of the nonanalyticity of the coefficients of an autonomous system of differential equations, is discussed. The character of all singular points is revealed.
About the authors
Yu. G. Ignat’ev
Kazan Federal University
Author for correspondence.
Email: ignatev_yu@rambler.ru
Russian Federation, Kazan
I. A. Kokh
Kazan Federal University
Email: ignatev_yu@rambler.ru
Russian Federation, Kazan
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