Topological classification of surface diffeomorphisms with one-dimensional invariant transitive sets
A. N. Sakharov1, E. V. Tregubova2
| Annotation | We consider diffeomorphisms of surfaces having as non-wandering set $NW(f)$ finite number of normally hyperbolic circles. Describe the relationship between the dynamics of such diffeomorphisms and supporting manifold topology. The topological classification is obtained for the considered class of diffeomorphisms |
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| Keywords | diffeomorphism, attractor, repeller, topological conjugacy, transitive invariant sets |
1Assistant professor of department of higher mathematic, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ansakharov2008@yandex.ru
2Assistant professor of department of higher mathematic, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; math@agri.sci-nnov.ru
Citation: A. N. Sakharov, E. V. Tregubova, "[Topological classification of surface diffeomorphisms with one-dimensional invariant transitive sets]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 152–155 (In Russian)
