  We consider a particular example of dynamical compactification of an
anisotropic 7+1 dimensional Universe in Einstein - Gauss - Bonnet gravity.
Starting from rather general totally anisotropic initial conditions a Universe
in question evolves towards a product of two isotropic subspaces. The first
subspace expands isotropically, the second represents an "inner" isotropic
subspace with stabilized size. The dynamical evolution does not require
fine-tuning of initial conditions, though it is possible for a particular range
of coupling constants. The corresponding condition have been found analytically
and have been confirmed using numerical integration of equations of motion.
