Dynamical system analysis and observational constraints of cosmological models in mimetic gravity

We study the dynamics of homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker cosmological models with positive spatial curvature in mimetic gravity theory, employing dynamical system techniques. Our analysis yields phase space trajectories that describe physically relevant solutions, capturing various stages of the cosmic evolution. Additionally, we employ Bayesian statistical analysis to constraint the cosmological parameters of the models, utilizing data from Supernovae Type Ia and the Hubble parameter datasets. The observational datasets provide support for the viability of mimetic gravity models, which effectively can describe the late-time accelerated expansion of the universe.