Chaos in closed isotropic cosmological models with steep scalar field potential

TL;DR

This paper investigates chaotic behavior in closed isotropic cosmological models with steep scalar field potentials, identifying parameters that induce chaos and exploring transitions to regular dynamics through numerical and analytical methods.

Contribution

It provides new insights into the conditions for chaos in scalar field cosmologies and emphasizes the importance of Euclidean boundary analysis for understanding chaotic dynamics.

Findings

Parameters for chaos identified through numerical studies

Transitions from chaotic to regular behavior described

Analytical insights from Euclidean boundary analysis

Abstract

The dynamics of closed scalar field FRW cosmological models is studied for several types of exponentially and more than exponentially steep potentials. The parameters of scalar field potentials which allow a chaotic behaviour are found from numerical investigations. It is argued that analytical studies of equation of motion at the Euclidean boundary can provide an important information about the properties of chaotic dynamics. Several types of transition from chaotic to regular dynamics are described.