Phase space analysis of an exponential model in f (Q) gravity including linear dark-sector interactions

We present a cosmological analysis of an exponential f (Q) gravity model, within the dynamical systems formalism. Following the method introduced by Böhmer et al Universe 9 no. 4, 166 (2023), the modified Friedmann modified equations are successfully reduced to an autonomous system. Given the exponential form of f (Q), the equilibrium conditions result in transcendental equations, which we approximate to identify the critical points. We therefore perform a general stability analysis of these points in terms of the model parameters. Finally, we extend the model by including a linear dark energy-dark matter interaction, where the equilibrium points are found with their stability properties. The model exhibits the three main domination epochs in the Universe, as well as a non-trivial impact on the late-time de Sitter attractor.