Stability of Quintom Model of Dark Energy in (ω, ω') Phase Plane

In this paper, we have described the quintom model of dark energy. First, we have taken three different superpotentials and obtained corresponding cosmological solutions. The motivation of these choices is based on the crossing equation of state (EoS) from phantom-divide-line. Second, we have considered stability conditions for the chosen three models in the omega-omega' plane. Finally, to investigate singularities of the models we have calculated the Kretschmann scalar. Also the corresponding graphs have separately been plotted.