Here is the full construction of the example:
* Manifold \\(M\\) = unit disc
* Trajectory \\(\phi^x(t) = x\ /\ t\\)
Clearly all paths converge to the origin, which is the unique attractor point.
In the discrete case, \\(T\\) is the natural numbers, and we have a semi-cascade.
In the continuous case, \\(T\\) is the non-negative real numbers, and we have a semi-flow.