On topological classification of gradient-like systems on surfaces, that are locally direct product
E.Ya. Gurevich1, S. H. Kapkaeva2
|Annotation||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.|
1Associate Professor of fundamental mathematics, National Research University Higher School of Economics; firstname.lastname@example.org
2Student, Mordovian State University after N.P. Ogarev, Saransk; email@example.com.
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)