Dynamical system study of Non-linear electrodynamics models

Abstract We study the cosmic dynamics in non-linear electrodynamics (NLE) models with the homogeneous and isotropic spacetime. We explore the effects of non-linear radiation in the models with and without the dark energy yielded by the cosmological constant. The dynamical system method is applied to study the qualitative evolution in the different NLE models. The fixed points and their corresponding stability nature are highlighting that the late-time accelerated expansion of the universe may not be explained without the dark energy component in the considered models. Using dynamical system analysis, it is shown that in the NLE models without dark energy, the non-linear radiation will lead to the Milne universe evolution as the ultimate cosmic phase. We also study different aspects of the NLE models by using the numerical solution approach and explore the evolution of cosmological parameters.