Symmetry, Singularities and Integrability in Complex Dynamics IV:   Painleve Integrability of Isotropic Cosmologies
  We apply the results of singularity analysis to the isotropic cosmological models in general relativity and string theory with a variety of matter terms. For some of these models the standard Painlev\'{e} test is sufficient to demonstrate integrability or nonintegrability in the sense of Painlev\'{e}. For others of these models it is necessary to use a less algorithmic procedure. 
John Miritzis, Peter Leach and Spiros Cotsakis