Qualitative Analysis of the Dynamics of a Two-Component Chiral Cosmological Model
被引:6
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作者:
Zhuravlev, Viktor
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Samara Natl Res Univ, Interuniv Dept Space Res, Samara 443086, Russia
Ulyanovsk State Univ, Dept Theoret Phys, Ulyanovsk 432970, RussiaSamara Natl Res Univ, Interuniv Dept Space Res, Samara 443086, Russia
Zhuravlev, Viktor
[1
,2
]
Chervon, Sergey
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Ulyanovsk State Pedag Univ, Dept Phys & Tech Discipline, Ulyanovsk 432071, Russia
Bauman Moscow State Tech Univ, Dept Phys, Moscow 105005, Russia
Kazan Fed Univ, Inst Phys, Kazan 420008, RussiaSamara Natl Res Univ, Interuniv Dept Space Res, Samara 443086, Russia
Chervon, Sergey
[3
,4
,5
]
机构:
[1] Samara Natl Res Univ, Interuniv Dept Space Res, Samara 443086, Russia
[2] Ulyanovsk State Univ, Dept Theoret Phys, Ulyanovsk 432970, Russia
[3] Ulyanovsk State Pedag Univ, Dept Phys & Tech Discipline, Ulyanovsk 432071, Russia
[4] Bauman Moscow State Tech Univ, Dept Phys, Moscow 105005, Russia
[5] Kazan Fed Univ, Inst Phys, Kazan 420008, Russia
We present a qualitative analysis of chiral cosmological model (CCM) dynamics with two scalar fields in the spatially flat Friedman-Robertson-Walker Universe. The asymptotic behavior of chiral models is investigated based on the characteristics of the critical points of the selfinteraction potential and zeros of the metric components of the chiral space. The classification of critical points of CCMs is proposed. The role of zeros of the metric components of the chiral space in the asymptotic dynamics is analysed. It is shown that such zeros lead to new critical points of the corresponding dynamical systems. Examples of models with different types of zeros of metric components are represented.
机构:
Department of Physics, Simon Fraser University, 8888 University Drive, Burnaby,BC,V5A 1S6, CanadaDepartment of Physics, Simon Fraser University, 8888 University Drive, Burnaby,BC,V5A 1S6, Canada
Bär, Florian R.
Kennett, Malcolm P.
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Department of Physics, Simon Fraser University, 8888 University Drive, Burnaby,BC,V5A 1S6, CanadaDepartment of Physics, Simon Fraser University, 8888 University Drive, Burnaby,BC,V5A 1S6, Canada