A dynamical system Π on a
separable metric space, which has a globally asymptotically stable critical point p,
can be embedded into a radial flow ρ on l2 if and only if p is uniformaly
asymptotically stable. Moreover, if Π can be embedded into ρ, then there is a locally
compact subset Y of l2 such that Π can be embedded into ρ restricted to
Y .