ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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On topology of ambient manifold for Morse-Smale diffeomorphisms.

E.Y. Gurevich1

AnnotationIn this article is considered the class $G(M^3)$ of orientation preserving Morse-Smale diffeomorphisms on connected closed orientable 3-manifolds such that for any $f\in G(M^3)$ the set of unstable separatrices is one-dimensional and does not contain any heteroclinic intersection. It is proved that for any $f\in G(M^3)$ its' ambient manifold $M^3$ is diffeomorphic to 3-sphere.
KeywordsMorse-Smale dynamical systems, topology of the ambient manifold.

1Assistant Professor of Chair of Theory of Control and Dynamic of Machines, Nizhny Novgorod State University after N.I. Lobachevsky, Nizhny Novgorod; elena$_$

Citation: E.Y. Gurevich, "[On topology of ambient manifold for Morse-Smale diffeomorphisms.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:3 (2011) 35–39 (In Russian)