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

TL;DR

This paper investigates how different scalar field potentials affect chaos in Friedmann-Robertson-Walker cosmology, providing criteria for chaos suppression or emergence based on potential steepness.

Contribution

It extends previous chaos studies in FRW cosmology to new scalar potentials and introduces an analytical criterion for chaos disappearance.

Findings

Steep potentials suppress chaos in FRW cosmology.

Gentle potentials can lead to strong chaos.

Analytical criterion accurately predicts chaos transition.

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.