Solenoidal basic sets of Smale-Vietoris А-diffeomorphisms
N. Isaenkova1, E. Zhuzhoma2, L. Kuprina3
| Annotation | We introduce Smale-Vietoris diffeomorphisms that include the classical DE-mappings with Smale solenoids. The main result is a correspondence between basic sets of axiom A Smale-Vietoris diffeomorphism and the corresponding nonsingular axiom A endomorphism. |
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| Keywords | hyperbolicity, non-wandering set, nonsingular endomorphism, basic set |
1Associated professor of MIA academy of Nizhnii Novgorod; math-ngaa@yandex.ru, nisaenkova@mail.ru
2Professor of Chair of Theory of Control and Dynamics of Machines, Lobachevskii State University, Nizhny Novgorod; zhuzhoma@mail.ru.
3Associated professor of department of higher mathematic, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; math-ngaa@yandex.ru.
Citation: N. Isaenkova, E. Zhuzhoma, L. Kuprina, "[Solenoidal basic sets of Smale-Vietoris А-diffeomorphisms]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 125–135 (In Russian)
