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Статья

On the obstructions to the existence of a simple arc joining the multidimensional Morse-Smale diffeomorphisms.

Динамические системы. 2017. Vol. 7(35). No. 2. P. 103-111.
Pochinka O., Nozdrinova E., Dolgonosova A.

In this paper we consider Morse-Smale diffeomorphisms defined on a multiply connected closed manifold M^n, n>3. For such systems, the concept of trivial (nontrivial) connectedness of their periodic orbits is introduced. It is established that isotopic trivial and non-trivial diffeomorphisms can not be joined by an arc with bifurcations of codimension one. Examples of such Morse-Smale cascades on a manifold S^(n-1)xS^1.