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

Middle Volga Mathematical Society Journal

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On topological classification of gradient-like systems on surfaces, that are locally direct product

E.Ya. Gurevich1, S. H. Kapkaeva2

AnnotationWe introduce a class of gradient-like dynamical systems for which the problem of topological classification is reduced to topological classification of structurally stable systems on the circle obtained by A. Mayer.
KeywordsMorse-Smale gradient-like diffeomorphism topological conjugacy, mapping torus, locally direct product.

1Associate Professor of fundamental mathematics, National Research University Higher School of Economics; egurevich@hse.ru

2Student, Mordovian State University after N.P. Ogarev, Saransk; kapkaevasvetlana@yandex.ru.

Citation: E.Ya. Gurevich, S. H. Kapkaeva, "[On topological classification of gradient-like systems on surfaces, that are locally direct product]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 37–47 (In Russian)