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

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

2000-11-30

arxiv.org/abs/gr-qc/0011113v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages with 4 eps figures, submitted to the electronic proceedings of the 9-th Marcel Grossmann Meeting (Rome, 2-8 July, 2000

Scientific paper

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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