  J.~Palis found necessary conditions for a Morse-Smale diffeomorphism on a
closed $n$-dimensional manifold $M^n$ to embed into a topological flow and
proved that these conditions are also sufficient for $n=2$. For the case $n=3$
a possibility of wild embedding of closures of separatrices of saddles is an
additional obstacle for Morse-Smale cascades to embed into topological flows.
In this paper we show that there are no such obstructions for Morse-Smale
diffeomorphisms without heteroclinic intersection given on the sphere $S^n,
\,n\geq 4$, and Palis's conditions again are sufficient for such
diffeomorphisms.

Dynamical Systems