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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2014, Volume 16, Number 2, Pages 76–79 (Mi svmo479)  

In Middle Volga Mathematical Society

On topological conjugacy of 3-manifolds diffeomorphisms with one orbit of heteroclinic tangency

T. M. Mitryakovaa, O. V. Pochinkab

a N. I. Lobachevski State University of Nizhni Novgorod
b Institute for Statistical Studies and Economics of Knowledge, National Research University "Higher School of Economics"
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Abstract: 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.
Keywords: Topological conjugacy, heteroclinic tangencies, moduli of stability.
Received: 25.07.2014
Document Type: Article
UDC: 517.9
Language: Russian
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