Heteroclinic orbit and tracking attractor in cosmological model with a double exponential potential

Abstract

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.

6 pages, 5 figures, Accepted for publication in Class. Quantum Grav

References in corpus (3)

• Phantom-like GCG and the constraints of its parameters via cosmological dynamics
• CMBR Constraint on a Modified Chaplygin Gas Model
• Cosmological dynamics of scalar fields with O(N) symmetry

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