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Chaos in FRW cosmology with various types of a scalar field potential

A. V. Toporensky
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Abstract

The results on chaos in FRW cosmology with a massive scalar field are extended to another scalar field potential. It is shown that for sufficiently steep potentials the chaos disappears. A simple and rather accurate analytical criterion for the chaos to disappear is given. On the contrary, for gently sloping potentials the transition to a strong chaotic regime can occur. Two examples, concerning asymptotically flat and Damour-Mukhanov potentials are given.

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A. V. Toporensky. 2000-11-30. Chaos in FRW cosmology with various types of a scalar field potential. https://arxiv.org/abs/gr-qc/0011113

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