E. V. Zhuzhoma, L. A. Kuprina, V. S. Medvedev, “On the Morse-Smale diffeomorphisms with three fixed points”, Zhurnal SVMO, 2011, Volume 13, Number 3,Pages <nobr>40

In Middle Volga Mathematical Society

On the Morse-Smale diffeomorphisms with three fixed points

E. V. Zhuzhoma^a, L. A. Kuprina^b, V. S. Medvedev^c

^a Nizhny Novgorod State Pedagogical University
^b Nizhnii Novgorod State Agricultural Academy
^c Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod

Abstract: We study the topological structure separatrices of Morse-Smale diffeomorphisms of $n$-dimensional manifold ($n\ge 4$) with non-wandering set consisting of three fixed points.

Keywords: Manifolds, knots, Smale-Vietoris diffeomorphism, sadle separatrics.

UDC: 517.938

Received: 02.12.2011