Dynamical system analysis of quintessence dark energy model

TL;DR

This paper performs a dynamical system analysis of a quintessence dark energy model with exponential potential, examining stability and cosmological implications of critical points.

Contribution

It introduces a novel dynamical system approach to analyze the stability of quintessence dark energy models with exponential potentials.

Findings

Late-time attractor stability varies in the model.

Critical points' stability analyzed using center manifold theory.

Cosmological implications of the critical points discussed.

Abstract

Our work deals with the dynamical system analysis of quintessence dark energy scalar field model with exponential potential. A dynamical system analysis has been applied at the background level. Using suitable transformation of variables, the evolution equations are reduced to an autonomous system for exponential form of the scalar potential. The critical points are analyzed with center manifold theory and stability has been discussed by using Schwarzian derivative. Finally, cosmological implications of the critical points are discussed and it is found that the stability of the late-time attractor changes for quintessence dark energy model.