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

Middle Volga Mathematical Society Journal

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On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers

V.Z. Grines1, Y.A. Levchenko2

AnnotationThe present paper is devoted to topological classification of structurally stable diffeomorphisms with two-dimensional surface basic sets on $3$-manifolds. Topological classification of such diffeomorphisms was obtained under certain conditions on the structure of the intersection of two-dimensional invariant manifolds.
KeywordsA-diffeomorphism, basic set, attractor, topological classification

1Head of Higher Mathematics Chair, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; vgrines@yandex.ru.

2Assistant Professor of Higher Mathematics Chair, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ulev4enko@gmail.com.

Citation: V.Z. Grines, Y.A. Levchenko, "[On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:1 (2011) 29–31 (In Russian)