KFU. Card publication. Dynamics of cosmological models with nonlinear classical phantom scalar fields. II. Qualitative analysis and numerical modeling

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DYNAMICS OF COSMOLOGICAL MODELS WITH NONLINEAR CLASSICAL PHANTOM SCALAR FIELDS. II. QUALITATIVE ANALYSIS AND NUMERICAL MODELING

Form of presentation

Articles in international journals and collections

Year of publication

2019

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Authors, employees of KFU

Agafonov Aleksandr Alekseevich, author

Ignatev Yuriy Gennadievich, author

Bibliographic description in the original language

Yu.G. Ignat'ev, A.A. Agathonov. Dynamics of cosmological models with nonlinear classical phantom scalar fields. II. Qualitative analysis and numerical modeling // arXiv:1905.00524 [gr-qc]

Annotation

A detailed qualitative analysis and numerical modeling of the evolution of cosmological models based on nonlinear classical and phantom scalar fields with self-action are performed. Complete phase portraits of the corresponding dynamical systems and their projections onto the Poincaré sphere are constructed. It is shown that the phase trajectories of the corresponding dynamical systems can, depending on the parameters of the model of the scalar field, split into bifurcation trajectories along 2, 4, or 6 different dynamical flows. In the phase space of such systems, regions can appear which are inaccessible for motion. Here phase trajectories of the phantom scalar field wind around one of the symmetric foci (centers) while the phase trajectories of the classical scalar field can have a limit cycle determined by the zero effective energy corresponding to a Euclidean Universe.

Keywords

cosmological model, qualitative analysis, phantom scalar field

The name of the journal

ArXiv[gr-qc]

URL

https://arxiv.org/abs/1905.00524

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=200702&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Agafonov Aleksandr Alekseevich	ru_RU
dc.contributor.author	Ignatev Yuriy Gennadievich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Yu.G. Ignat'ev, A.A. Agathonov. Dynamics of cosmological models with nonlinear classical phantom scalar fields. II. Qualitative analysis and numerical modeling // arXiv:1905.00524 [gr-qc]	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=200702&p_lang=2	ru_RU
dc.description.abstract	ArXiv[gr-qc]	ru_RU
dc.description.abstract	A detailed qualitative analysis and numerical modeling of the evolution of cosmological models based on nonlinear classical and phantom scalar fields with self-action are performed. Complete phase portraits of the corresponding dynamical systems and their projections onto the Poincaré sphere are constructed. It is shown that the phase trajectories of the corresponding dynamical systems can, depending on the parameters of the model of the scalar field, split into bifurcation trajectories along 2, 4, or 6 different dynamical flows. In the phase space of such systems, regions can appear which are inaccessible for motion. Here phase trajectories of the phantom scalar field wind around one of the symmetric foci (centers) while the phase trajectories of the classical scalar field can have a limit cycle determined by the zero effective energy corresponding to a Euclidean Universe.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	cosmological model	ru_RU
dc.subject	qualitative analysis	ru_RU
dc.subject	phantom scalar field	ru_RU
dc.title	Dynamics of cosmological models with nonlinear classical phantom scalar fields. II. Qualitative analysis and numerical modeling	ru_RU
dc.type	Articles in international journals and collections	ru_RU