DYNAMICS OF THE ΛCDM MODEL OF THE UNIVERSE FROM THE PERSPECTIVE OF THE DYNAMICAL SYSTEMS THEORY

We use the theory of the dynamical systems to study the dynamics of the ΛCDM model of the universe. A three-dimensional autonomous dynamical system of a class of Lotka-Volterra dynamical systems, with density parameters of the universe’s constituents as dependent vari ables is inferred. It is assumed that the matter content in our universe consists of barotropic perfect fluids without mutual interaction (ex cept gravitational). The appropriate physical interpretation, as well as parametrization between the scale expansion factor of the universe and cosmological density parameters is presented.