  Low energy effective actions arising from string theory typically contain
many scalar fields, some with a very complicated potential and others with no
potential at all. The evolution of these scalars is of great interest. Their
late time values have a direct impact on low energy observables, while their
early universe dynamics can potentially source inflation or adversely affect
big bang nucleosynthesis. Recently, classical and quantum methods for fixing
the values of these scalars have been introduced. The purpose of this work is
to explore moduli dynamics in light of these stabilization mechanisms. In
particular, we explore a truncated low energy effective action that models the
neighborhood of special points (or more generally loci) in moduli space, such
as conifold points, where extra massless degrees of freedom arise. We find that
the dynamics has a surprisingly rich structure - including the appearance of
chaos - and we find a viable mechanism for trapping some of the moduli.
