Inflationary Cosmology and Oscillating Universes in Loop Quantum   Cosmology
  We study oscillatory universes within the context of Loop Quantum Cosmology. We make a comparative study of flat and positively curved universes sourced by scalar fields with either positive or negative potentials. We investigate how oscillating universes can set the initial conditions for successful slow-roll inflation, while ensuring that the semi-classical bounds are satisfied. We observe rich oscillatory dynamics with negative potentials, although it is difficult to respect the semi-classical bounds in models of this type. 
D. J. Mulryne, N.J. Nunes, R. Tavakol and J.E. Lidsey