Necessary conditions for topological conjugacy of 3-manifolds diffeomorphisms with orbits of heteroclinic tangency
E. A. Grines1, O. V. Pochinka2
| Annotation | In 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. |
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| Keywords | topological 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)
