  A short overview of the billiard approach for cosmological-type models with n
Einstein factor-spaces is presented. We start with the billiard representation
for pseudo-Euclidean Toda-like systems of cosmological origin. Then we consider
cosmological model with multicomponent "perfect-fluid" and cosmological-type
model with composite branes. The second one describes cosmological and
spherically-symmetric configurations in a theory with scalar fields and fields
of forms.
  The conditions for appearance of asymptotical Kasner-like and oscillating
behaviors in the limit \tau \to +0 and \tau \to + \infty (where \tau is a
"synchronous-type" variable) are formulated (e.g. in terms of inequalities on
Kasner parameters). Examples of billiards related to the hyperbolic Kac-Moody
algebras E_{10}, AE_3 and A_{1,II} are given.
