Simple ϕΛCDM dynamics

In this paper, we introduce the [Formula: see text]CDM model and compare it to the concordance model. We present their respective epoch evolutions, perform a detailed dynamical analysis for each model, and conduct a comparative analysis between the two. This study revitalizes these models by considering systems with a higher number of variables. Additionally, the [Formula: see text]CDM model we present is both more comprehensive and simpler than those found in the literature, as it accounts for all known epochs, including the radiation, matter, and dark energy phases. Notably, existing studies on this model often omit the radiation epoch and focus on simpler dynamics. We find that both models, the [Formula: see text]CDM and the [Formula: see text]CDM, can describe the generally accepted scenario of cosmic evolution, and current observations. Both models, describe qualitative and quantitative current observations about the epoch behavior of the species of the universe. We find the [Formula: see text]CDM model has the following exotic transition from a dominant radiation energy density ratio epoch, or a low scalar kinetic term energy density ratio epoch, toward a dominant cosmological constant energy density ratio epoch. This renders the [Formula: see text]CDM a richer phenomenologically model than the concordance cosmological model.