Simplest cosmological model with the scalar field II. Influence of cosmological constant

TL;DR

This paper examines how a cosmological constant affects the dynamics of a simple scalar field cosmological model, revealing a transition from chaotic to regular behavior as the constant increases.

Contribution

It provides a detailed analysis of the influence of the cosmological constant on trajectory behavior in a minimal scalar field cosmological model, combining numerical and qualitative methods.

Findings

Transition from chaos to regularity with increasing cosmological constant

Classification of trajectories in minisuperspace model

Numerical and qualitative analysis of scalar field dynamics

Abstract

Continuing the investigation of the simplest cosmological model with the massive real scalar non-interacting inflaton field minimally coupled to gravity we study an influence of the cosmological constant on the behaviour of trajectories in closed minisuperspace Friedmann-Robertson-Walker model. The transition from chaotic to regular behaviour for large values of cosmological constant is discussed. Combining numerical calculations with qualitative analysis both in configuration and phase space we present a convenient classification of trajectories.