On classification of A-diffeomorphisms of 3-manifolds with two-dimensional surface attractors and repellers
V.Z. Grines1, Y.A. Levchenko2
Annotation | The 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. |
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Keywords | A-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)