Dynamical system approach of interacting dark energy models with minimally coupled scalar field.

We investigated the stability condition of f (Q) gravity theory with interacting and noninteracting models by using dynamical system. We assume the f (Q) function as f (Q) = Q + M 2 2 , where M is the free parameter. We evaluated the critical points for this model and examined the stability behavior. We found two stable critical points for interacting model. The phase plots for this system are examined and the physical interpretation is discussed. We illustrate all the cosmological parameters such as Ω m , Ω ϕ , q and ω Tot at each fixed point and compare the parameters with observational values. Further, we assume hybrid scale factor and the equation of redshift and time is t (z) = μ ν W [ ν (1 + z) − m μ μ ]. We transform all the parameters in terms of redshift by using this equation and examine the behavior of these parameters. Our model represents the accelerated expansion of the universe. The energy conditions are examined in terms of redshift and strong energy conditions are not satisfied for the model. We also find the statefinder parameters { r , s } in terms of z and discuss the nature of r–s and r–q plane. For both pairs { r , s } and { r , q } our model represents the Λ CDM model. Hence, we determine that our f (Q) model is stable and it satisfies all the observational values. [ABSTRACT FROM AUTHOR]