Non minimally coupled condensate cosmologies: matching observational data with phase space

We compare theoretical predictions with observations for a class of cosmological models in which the dark energy component is modeled as a fermionic condensate, non-minimally coupled with the gravitational eld and characterized by some specic selfinteraction potentials. Our analysis is based on the Markov Chain Monte Carlo Method (MCMC) and employs dierent data sets. It turns out that with an appropriate choice of parameters our models are fully compatible with several observed data. We combine these parameter values with phase space analysis to deduce the features of the entire cosmic history of the considered models.