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.Comment: 8 pages, 6 figure
