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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 4, Pages 37–40 (Mi svmo564)

Mathematics

The criteria of the topological conjugacy of 3-diffeomorphisms with a finite number orbits of heteroclinic tangency

T. M. Mitryakovaa, O. V. Pochinkab

a Lobachevski State University of Nizhni Novgorod
b State University – Higher School of Economics in Nizhnii Novgorod

Abstract: In the present paper a class of 3-diffeomorphisms is considered, which differ from the gradient-like systems in the existence of the finite number of heteroclinic tangencies orbits. It is a well-known fact that such cascades are not structurally stable. However, the full system of topological invariants is found for them.

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

UDC: 517.9

Received: 11.12.2015



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