Realizing full n-shifts in simple Smale flows

Smale flows on 3-manifolds can have invariant saddle sets that are suspensions of shifts of finite type. We look at Smale flows with chain recurrent sets consisting of an attracting closed orbit a, a repelling closed orbit r and a saddle set that is a suspension of a full n-shift and draw some conclusions about the knotting and linking of a∪r. For example, we show for all values of n it is possible for a and r to be unknots. For any even value of n it is possible for a∪r to be the Hopf link, a trefoil and meridian, or a figure-8 knot and meridian.