Dynamical system analysis of Quintom Dark Energy Model

Abstract

The present work deals with dynamical system analysis of a Quintom Model of Dark Energy. By suitable transformation of variables the Einstein field equations are converted to an autonomous system. The critical points are determined and stability of hyperbolic critical points are determined by Hartman-Grobman theorem. To analyze non-hyperbolic critical points different tools (notably Center Manifold theory) are used. Possible bifurcation scenarios have also been explained.

8 pages, 6 figures

References in corpus (5)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Cosmological Evolution of a Quintom Model of Dark Energy
• A Non-minimally Coupled Quintom Dark Energy Model on the Warped DGP Brane
• Quintom cosmological model and some possible solutions using Lie and Noether symmetries

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