Holographic description of F(R) gravity coupled with axion dark matter

In this work, we study the autonomous dynamical system of different F(R) models in the formalism of holographic dark energy using the generalized Nojiri-Odintsov cut-off. We explicitly give the expression of the fixed points as functions of the infrared cut-off for vacuum F(R) gravity in flat and non-flat FRW background and for F(R) coupling axion dark matter. Each fixed point component can be taken as a condition on the cut-off and on the expression of F(R), leading to physically interesting constraints on these functions.