  We give a short discussion about a weaker form of minimality (called
quasi-minimality). We call a system quasi-minimal if all dense orbits form an
open set. It is hard to find examples which are not already minimal. Since
elliptic behaviour makes them minimal, these systems are regarded as parabolic
systems. Indeed, we show that a quasi-minimal homeomorphism on a manifold is
not expansive (hyperbolic).
