  We use the dynamical systems approach to investigate the Bianchi type VIII
models with a tilted $\gamma$-law perfect fluid. We introduce
expansion-normalised variables and investigate the late-time asymptotic
behaviour of the models and determine the late-time asymptotic states. For the
Bianchi type VIII models the state space is unbounded and consequently, for all
non-inflationary perfect fluids, one of the curvature variables grows without
bound. Moreover, we show that for fluids stiffer than dust ($1<\gamma<2$), the
fluid will in general tend towards a state of extreme tilt. For dust
($\gamma=1$), or for fluids less stiff than dust ($0<\gamma< 1$), we show that
the fluid will in the future be asymptotically non-tilted. Furthermore, we show
that for all $\gamma\geq 1$ the universe evolves towards a vacuum state but
does so rather slowly, $\rho/H^2\propto 1/\ln t$.
