In Middle Volga Mathematical Society

Realization of gradient-like diffeomorphisms on surfaces by means of automorphisms of three-color graphs

S. H. Kapkaeva

Ogarev Mordovia State University

Abstract: This paper is a continuation of the papers [kapkaeva6], [kapkaeva7] which contain the conditions of topological conjugacy of gradient-like diffeomorphisms on surfaces. In the present paper the realization problem is solved. That is a standard representative is constructed in each class of topologically conjugated gradient-like diffeomorphisms

Keywords: Morse-Smale diffeomorphisms, gradient-like diffeomorphisms, topological conjugate diffeomorphisms, three-color graph, realization of diffeomorphisms.

UDC: 517.938.5