Dynamical systems analysis of phantom models

TL;DR

This paper analyzes the stability and long-term behavior of phantom dark energy models using dynamical systems theory, revealing a unique initial state and multiple future possibilities consistent with observations.

Contribution

It provides a comprehensive dynamical systems analysis of phantom models with a general potential, including stability and numerical studies of their evolution.

Findings

Single fixed point potentially representing the universe's origin

Multiple future evolution options for the universe

Late-time behavior aligns with recent cosmological observations

Abstract

In this work, we study the dynamical systems analysis of phantom dark energy models considering a general potential. The stability analysis of the system shows that there is only one fixed point which could be the beginning of the universe but there could be many options for our future destiny. A detail numerical analysis of the system is also done using three different schemes and it shows that the late time behavior of the system is consistent with the recent observations.