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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2013, Volume 15, Number 4, Pages 77–90 (Mi svmo424)

In Middle Volga Mathematical Society

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

E. A. Grines, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: 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.

Keywords: topological conjugacy, heteroclinic tangencies, moduli of stability.

UDC: 517.9



© Steklov Math. Inst. of RAS, 2024