In Middle Volga Mathematical Society

Realization of isotopic classes of gradient-like diffeomorphisms on torus

E. Ya. Gurevich, D. T. Syainova

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: We specify S. Batterson's results of [7] where classes of isotopic maps on torus contained Morse-Smale diffeomorphisms are described. Following to ideas of paper [7], we describe isotopic classes, contained gradient-like diffeomorphisms, present all admitted types of periodic data of such diffeomorphisms and provide an algorithm of realization of each type of periodic data.

Keywords: isotopic classification, Morse-Smale dynamical system, cascades, gradient-like diffeomorphisms.

UDC: 517.938

Received: 25.07.2014