Study of interacting dark energy models using dynamical system analysis

This work is an example of a cosmological model containing both dark matter (in the form of dust) and dark energy (in the form of a self interacting scalar field). It is assumed that the matter components do not evolve independently rather an interaction term is chosen purely phenomenological. By choosing suitable dimensionless variables the physical model is converted to an 2D autonomous system. Stability and bifurcation analysis have been done comprehensively. We have determined the cosmography parameters in terms of dynamical variables. Finally, cosmological inferences have been done by analyzing the nature of the equilibrium points.