Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 037, 12 pages      gr-qc/0603083      https://doi.org/10.3842/SIGMA.2006.037

Regular and Chaotic Regimes in Scalar Field Cosmology

Alexey V. Toporensky
Sternberg Astronomical Institute, Moscow University, Moscow, 119899 Russia

Received October 25, 2005, in final form March 10, 2006; Published online March 21, 2006

Abstract
A transient chaos in a closed FRW cosmological model with a scalar field is studied. We describe two different chaotic regimes and show that the type of chaos in this model depends on the scalar field potential. We have found also that for sufficiently steep potentials or for potentials with large cosmological constant the chaotic behavior disappears.

Key words: cosmology; scalar field; chaotic dynamics.

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