Email this article Dynamics of Cosmological Models with Nonlinear Classical Phantom Scalar Fields. I. Formulation of the Mathematical Model
- Authors: Ignat’ev Y.G.1, Arathonov A.A.1
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Affiliations:
- Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University
- Issue: Vol 61, No 10 (2019)
- Pages: 1827-1837
- Section: Article
- URL: https://bakhtiniada.ru/1064-8887/article/view/241055
- DOI: https://doi.org/10.1007/s11182-019-01606-1
- ID: 241055
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Abstract
Mathematical models describing the cosmological evolution of classical and phantom scalar fields with self-action are formulated and analyzed. Systems of dynamical equations in the plane, describing homogeneous cosmological models, have been obtained. It is shown that depending on the parameters of the field model, it is possible to violate the single connection of the phase space of the corresponding dynamical model.
About the authors
Yu. G. Ignat’ev
Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University
Author for correspondence.
Email: ignatev_yu@rambler.ru
Russian Federation, Kazan
A. A. Arathonov
Lobachevsky Institute of Mathematics and Mechanics, Kazan Federal University
Email: ignatev_yu@rambler.ru
Russian Federation, Kazan
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