Complete topological invariant of Morse-Smale Diffeomorphism without heteroclinical intersections on Sphere $S^n$ of dimensional greater than three.
V.Z. Grines1, E.Ya. Gurevich2, O.V. Pochinka.3
| Annotation | The paper is devoted to solution of the problem on topological classification of Morse-Smale diffeomorphisms without heteroclinical intersection on sphere $S^n$ of dimension $n>3$. As a basic instrument there is used a scheme of diffeomorphism, which is an invariant describing the structure of orbit space of diffeomorphism. |
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| Keywords | dynamical system, cascades, Morse-Smale diffeomorphisms, topological classification. |
1Heard of High Mathematics Chair, Agriculture Academy of Nizhnii Novgorod, Nizhnii Novgorod, vgrines@yandex.ru
2Associated Professor of Chair of Theory of Control and Dymanics of Machines, Lobachevskii State University, Nizhnii Novgorod; elena$_$gurevich@list.ru.
3Associated Professor of Chair of Theory of Functions, Lobachevskii State University, Nizhnii Novgorod, olga-pochinka@yandex.ru
Citation: V.Z. Grines, E.Ya. Gurevich, O.V. Pochinka., "[Complete topological invariant of Morse-Smale Diffeomorphism without heteroclinical intersections on Sphere $S^n$ of dimensional greater than three.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:1 (2012) 16–24 (In Russian)
