E. V. Zhuzhoma, V. S. Medvedev, “Morse–Smale Diffeomorphisms with Three Fixed Points”, Mat. Zametki, 2012, Volume 92, Issue 4,Pages <nobr>541

This article is cited in 2 papers

Morse–Smale Diffeomorphisms with Three Fixed Points

E. V. Zhuzhoma^a, V. S. Medvedev^b

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

Abstract: It is proved that the closures of separatrices for a Morse–Smale diffeomorphism with three fixed points are flatly embedded spheres if the dimension of the manifold is at least 6 and may be wildly embedded spheres if the dimension of the manifold is 4.

Keywords: Morse–Smale diffeomorphism with three fixed points, separatrix of a saddle, flatly embedded sphere, wildly embedded sphere, nonwandering set, periodic point.

UDC: 517.938

Received: 28.03.2011

DOI: 10.4213/mzm9888