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Article

О топологической сопряжённости 3-диффеоморфизмов с одной орбитой гетероклинического касания

Митрякова Т., Починка О. В.

In present paper we consider a class of 3-manifolds' diffeomorphisms lying on the border of a set of gradient-like systems and different from the last not more than one tangencies' orbits of two-dimensional separatrices. It is proved that for studying diffeomorphisms necessary and sufficient condition for topological conjugacy of two diffeomorphisms from this class is a coincidence of classes of equivalence of their schemes and moduli of stability corresponding tangencies' orbits.}{Topological conjugacy, heteroclinic tangencies, moduli of stability.