The example of a diffeomorfism «source-sink» which does not include to a smooth flow

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 [4]. In contrast, a nowhere dense set of them are included in a smooth flow, it follows from the [1]. 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.