On the realization of structurally stable diffeomorphisms with 2-dimensional surface basic sets.
V.Z. Grines1, Y.A. Levchenko2
| Annotation | The present paper is continuation of the paper \cite{GrLev2011} which was devoted to topological classification of structurally stable diffeomorphisms with 2-dimensional connected surface basic sets. In the present paper topological classification of such diffeomorphisms was obtained in case if $NW(f)$ consist of 2-dimensional surface basic sets (which are not necessary connected) under certain conditions on the structure of the intersection of two-dimensional invariant manifolds. Moreover in this paper the problem of the realization of such diffeomorphisms was solved. |
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| Keywords | diffeomorphism, basic set, attractor, topological classification. |
1Heard of High Mathematics Chair, Agriculture Academy of Nizhnii Novgorod, Nizhnii Novgorod, vgrines@yandex.ru
2Assistant Professor of Chair High Mathematics, Agriculture Academy of Nizhnii Novgorod, Nizhnii Novgorod, ulev4enko@gmail.com
Citation: V.Z. Grines, Y.A. Levchenko, "[On the realization of structurally stable diffeomorphisms with 2-dimensional surface basic sets.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:2 (2012) 48–56 (In Russian)
