Казанский (Приволжский) федеральный университет, КФУ
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YURII IGNAT'EV, ALEXANDER AGATHONOV, IRINA KOKH. THE PECULIARITIES OF THE COSMOLOGICAL MODELS BASED ON NON-LINEAR CLASSICAL AND PHANTOM FIELDS WITH MINIMAL INTERACTION. I. THE COSMOLOGICAL MODEL BASED ON SCALAR SINGLET. ARXIV:1808.04570 [GR-QC]
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2018
Языканглийский
  • Агафонов Александр Алексеевич, автор
  • Игнатьев Юрий Геннадиевич, автор
  • Библиографическое описание на языке оригинала Yurii Ignat'ev, Alexander Agathonov, Irina Kokh. The Peculiarities of the Cosmological Models Based on Non-Linear Classical and Phantom Fields with Minimal Interaction. I. The Cosmological Model Based on Scalar Singlet. arXiv:1808.04570 [gr-qc]
    Аннотация A detailed comparative qualitative analysis and numerical simulation of evolution of the cosmological models based on classical and phantom scalar fields with self-action was performed. The phase portraits of the dynamic systems of classical and phantom fields and their projections to the Poincare sphere were constructed. It was shown that the phase trajectories of the corresponding dynamic systems can be split by bifurcation trajectories into 2,4 or 6 different dynamic streams corresponding to different pairwise symmetric histories of the Universe depending on the parameters of the scalar field's model. The phase space of such systems becomes multiply connected, the ranges of negative total effective energy unavailable for motion, getting appear there. In the case when attracting centers are situated inside these ranges, the phase trajectories of the classical scalar field in the infinite future tend to limit cycles, winding onto the boundaries of these ranges. The phase trajectories
    Ключевые слова cosmological model, phantom and classical scalar fields, quality analysis, asymptotic behavior, numerical simulation
    Название журнала arXiv: General Relativity and Quantum Cosmology
    URL https://arxiv.org/abs/1808.04570
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