https://doi.org/10.1140/epjc/s10052-018-6405-9
Regular Article - Theoretical Physics
Dynamical system analysis of quintom dark energy model
Department of Mathematics, Jadavpur University, Kolkata, WB, 700032, India
* e-mail: sudipcmiiitmath@gmail.com
Received:
22
September
2018
Accepted:
30
October
2018
Published online:
12
November
2018
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.
© The Author(s), 2018