Dynamical analysis of anisotropic scalar-field cosmologies for a wide
  range of potentials
  We perform a detailed dynamical analysis of anisotropic scalar-field
cosmologies, and in particular of the most significant Kantowski-Sachs, Locally
Rotationally Symmetric (LRS) Bianchi I and LRS Bianchi III cases. We follow the
new and powerful method of $f$-devisers, which allows us to perform the whole
analysis for a wide range of potentials. Thus, one can just substitute the
specific potential form in the final results and obtain the corresponding
behavior, without the need of new calculations. We find a very rich behavior,
and amongst others the universe can result in isotropized solutions with
observables in agreement with observations, such as de Sitter,
quintessence-like, or stiff-dark energy solutions. In particular, all
expanding, accelerating, stable attractors are isotropic. Additionally, we
prove that as long as matter obeys the null energy condition, bounce behavior
is impossible. Finally, applying the general results to the well-studied
exponential and power-law potentials, we find that some of the general stable
solutions disappear. This feature may be an indication that such simple
potentials might restrict the dynamics in scalar-field cosmology, opening the
way to the introduction of more complicated ones.
