Dynamical system analysis of Myrzakulov gravity

We perform a dynamical system analysis of Myrzakulov or F(R, T) gravity, which is a subclass of affinely connected metric theories, where ones uses a specific but nonspecial connection that allows for nonzero curvature and torsion simultaneously. We consider two classes of models, extract the critical points, and examine their stability properties alongside their physical features. In the class 1 models, which possess ? cold dark matter (CDM) cosmology as a limit, we find the sequence of matter and dark energy eras, and we show that the Universe will result in a dark-energy-dominated critical point for which dark energy behaves like a cosmological constant. Concerning the dark energy equation-of-state parameter, we find that it lies in the quintessence or phantom regime, according to the value of the model parameter. For the class 2 models, we again find the dark-energy-dominated, de Sitter late-time attractor, although the scenario does not possess ?CDM cosmology as a limit. The cosmological behavior is richer, and the dark energy sector can be quintessencelike, phantomlike, or experience the phantom-divide crossing during the evolution.