The example of a diffeomorfism <<source-sink>> which does not include to a smooth flow
O. V. Pochinka1, A. A. Romanov2
| Annotation | The inclusion to a topological flow of any two-dimensional gradient-like cascade with condition that all its non-wandering points are fixed is one of the classical results of J.Palis \cite{Pa}. In contrast, a nowhere dense set of them are included in a smooth flow, it follows from the \cite{Brin}. The analytic construction of an example of the diffeomorfism <<source-sink>> on $\mathbb {S}^2$ which does not include to a smooth flow is the purpose of this paper. |
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| Keywords | diffeomorfism <<source-sink>>, inclusion to a smooth flow |
1Professor of theory function chair, Nizhny Novgorod State University after N.I. Lobachevsky; olga-pochinka@yandex.ru
2Undergraduate of theory function chair, Nizhny Novgorod State University after N.I. Lobachevsky; romanov18.04@mail.ru
Citation: O. V. Pochinka, A. A. Romanov, "[The example of a diffeomorfism <
