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Zhurnal SVMO, 2012, Volume 14, Number 1, Pages 16–24 (Mi svmo296)

Complete topological invariant of Morse-Smale Diffeomorphism without heteroclinical intersections on Sphere $S^n$ of dimensional greater than three

V. Z. Grinesa, E. Ya. Gurevichb, O. V. Pochinkab

a Nizhnii Novgorod State Agricultural Academy
b N. I. Lobachevski State University of Nizhni Novgorod

Abstract: The paper is devoted to solution of the problem on topological classification of Morse-Smale diffeomorphisms without heteroclinical intersection on sphere $S^n$ of dimension $n>3$. As a basic instrument there is used a scheme of diffeomorphism, which is an invariant describing the structure of orbit space of diffeomorphism

Keywords: dynamical system, cascades, Morse-Smale diffeomorphisms, topological classification.

UDC: 517.938

Received: 20.07.2012



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