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

Xin-zhou Li·Yi-bin Zhao·Chang-bo Sun
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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.

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Xin-zhou Li, Yi-bin Zhao, Chang-bo Sun. 2005-08-01. Heteroclinic orbit and tracking attractor in cosmological model with a double exponential potential. https://doi.org/10.1088/0264-9381%2F22%2F17%2F024

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