Dynamics of f(R)-cosmologies containing Einstein static models

We study the dynamics of homogeneous isotropic FRW cosmologies with positive spatial curvature in f(R)-gravity, paying special attention to the existence of Einstein static models and only study forms of f(R) = Rn for which these static models have been shown to exist. We construct a compact state space and identify past and future attractors of the system and recover a previously discovered future attractor corresponding to an expanding accelerating model. We also discuss the existence of universes which have both a past and a future bounce, a phenomenon which is absent in general relativity.