Abstract:
     The talk begins with a general overview of dynamical systems, a well-known field of applied mathematics with a wide range of applications. These techniques can be used for studying the time evolution of infectious diseases or for studying the time evolution of the Universe, this talk will focus on the latter. After rewriting the cosmological field equations using suitable variables, I will show some simple applications first. This is then generalised and expanded to show how these techniques can be applied to various different cosmological models. At the end I discuss new results involving cosmological fluids with boundary term couplings.