V. Z. Grines, E. Ya. Gurevich, V. S. Medvedev, “Оn topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes”, Zhurnal SVMO, 2010, Volume 12, Number 1,Pages <nobr>24

Mathematics

Оn topologicaly non-conjugated Morse-Smale diffeomorphisms with trivial frame of separatrixes

V. Z. Grines^a, E. Ya. Gurevich^b, V. S. Medvedev^c

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

Abstract: The present paper is devoted to construction of example of two topologically non-conjugated orientation preserving Morse-Smale diffeomorphisms of 3-dimensional sphere with trivial frames of separatrixes and isomorphic graphs.

Keywords: Topological equivalence, Morse-Smale diffeomorphisms, graph Pexoto.

UDC: 517.938

Received: 15.11.2010