E. Ya. Gurevich, S. Kh. Zinina, “On topological classification of gradient-like systems on surfaces, that are locally direct product”, Zhurnal SVMO, 2015, Volume 17, Number 1,Pages <nobr>37

This article is cited in 2 papers

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

E. Ya. Gurevich^a, S. Kh. Zinina^b

^a State University – Higher School of Economics in Nizhnii Novgorod
^b Ogarev Mordovia State University

Abstract: We 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.

Keywords: Morse-Smale gradient-like diffeomorphism topological conjugacy, mapping torus, locally direct product.

UDC: 517.938.5

Received: 17.07.2015