  We investigate cosmologies with an arbitrary number of scalars and the most
general multi-exponential potential. By formulating the equations of motion in
terms of autonomous systems we complete the classification of power-law and de
Sitter solutions as critical points, e.g. attractor and repeller solutions, in
terms of the scalar couplings. Many of these solutions have been overlooked in
the literature.
  We provide specific examples for double and triple exponential potentials
with one and two scalars, where we find numerical solutions, which interpolate
between the critical points. Some of these correspond to the reduction of new
exotic S-brane solutions.
