2000/11/30 by A. V. Toporensky, Toporensky, A. V.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #nlin.CD
paper · pdf · doi:10.48550/arxiv.gr-qc/0011113
8 pages with 4 eps figures, submitted to the electronic proceedings of the 9-th Marcel Grossmann Meeting (Rome, 2-8 July, 2000)
arxiv created 2000/11/30 · arxiv updated 2009/11/30
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.