ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Necessary conditions for topological conjugacy of 3-manifolds diffeomorphisms with orbits of heteroclinic tangency

E. A. Grines1, O. V. Pochinka2

AnnotationIn present paper we consider a class of 3-manifolds' diffeomorphisms with finite hyperbolic chain recurrent set and finite number of heteroclinic tangencies' orbits. We prove that necessary conditions for topological conjugacy of two diffeomorphisms from this class is a generalization of moduli of stability for analogous two dimensional diffeomorphisms.
Keywordstopological conjugacy, heteroclinic tangencies, moduli of stability

1Graduate student of numerical and functional analysis chair of Nizhny Novgorod State University after N.I. Lobachevsky; grineseugene@mail.ru

2Docent of theory function chair of Nizhny Novgorod State University after N.I. Lobachevsky; olga-pochinka@yandex.ru

Citation: E. A. Grines, O. V. Pochinka, "[Necessary conditions for topological conjugacy of 3-manifolds diffeomorphisms with orbits of heteroclinic tangency]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,15:4 (2013) 77–90 (In Russian)