Heteroclinic orbit and tracking attractor in cosmological model with a double exponential potential
Aug, 2005
6 pages
Published in:
- Class.Quant.Grav. 22 (2005) 3759-3766
e-Print:
- astro-ph/0508019 [astro-ph]
View in:
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Abstract: (arXiv)
In this paper, the dynamical heteroclinic orbit and attractor have been employed to make the late-time behaviors of the model insensitive to the initial condition and thus alleviates the fine tuning problem in cosmological dynamical system of barotropic fluid and quintessence with a double exponential potential. The late-time asymptotic behavior of the double exponential model does not always correspond to the single case. The heteroclinic orbits are the non-stationary solutions and in general they will interpolate between the critical points. Although they can not be shown analytically, yet a numerical calculation can reveal most of their properties. Varied heteroclinic orbits and attractors including tracking attractor and de Sitter attractor have been found.Note:
- 6 pages, 5 figures, Accepted for publication in Class. Quantum Grav
- 98.80.Es
- 98.80.Cq
- 04.40.-b
- cosmological model
- orbit
- attractor
- potential
- asymptotic behavior
- phase space
- critical phenomena
References(21)
Figures(5)