Dynamical Systems Analysis of Various Dark Energy Models

TL;DR

This thesis applies dynamical systems analysis to various dark energy models to understand their qualitative behavior and stability, providing insights into the evolution of the universe.

Contribution

It introduces a systematic dynamical systems approach to analyze and compare different dark energy models, including quintessence, chameleon, and holographic models.

Findings

Identified stable and unstable critical points for each model.

Compared the dynamical behavior of different dark energy scenarios.

Provided insights into the late-time acceleration mechanisms.

Abstract

In this thesis, we used dynamical systems analysis to find the qualitative behaviour of some dark energy models. Specifically, dynamical systems analysis of quintessence scalar field models, chameleon scalar field models and holographic models of dark energy are discussed in this thesis.