Three-dimensional mapping with two-dimensional expansive attractors and repellers.
V. Z. Grines1, A. A. Shilovskaya2
| Annotation | In this paper, we consider a class of three-dimensional mappings whose non-wandering sets are a union of two-dimensional attractors and repellers. A topological classification of ambient manifolds admitting such systems is obtained. A class of model mappings is constructed where maps are skew products of a pA-homeomorphisms and rough circle transforms. We have proved that a map from the considered class is $\Omega$-conjugated with some model |
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| Keywords | pseudo-Anosov diffeomorphism, $\Omega$-conjugacy, non-wandering set. |
1Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; vgrines@yandex.ru.
2Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod; vesnann@mail.ru.
Citation: V. Z. Grines, A. A. Shilovskaya, "[Three-dimensional mapping with two-dimensional expansive attractors and repellers.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 55–60 (In Russian)
