Using a qualitative analysis based on the Hamiltonian formalism and the ort
honormal frame representation we investigate whether the chaotic behaviour
which occurs close to the initial singularity is still present in the far f
uture of Bianchi Vm models. We describe some features of the vacuum Bianchi
WI models at late times which might be relevant for studying the nature of
the future asymptote of the general vacuum inhomogeneous solution to the E
instein field equations.