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

Middle Volga Mathematical Society Journal

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Realization of isotopic classes of gradient-like diffeomorphisms on torus

E. Ya. Gurevich1, D. T. Syainova2

AnnotationWe specify S. Batterson's results of \cite{Bat-gurevich} where classes of isotopic maps on torus contained Morse-Smale diffeomorphisms are described. Following to ideas of paper  \cite{Bat-gurevich}, 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.
Keywordsisotopic classification, Morse-Smale dynamical system, cascades, gradient-like diffeomorphisms.

1Associated Professor of Chair of Theory of Control and Dymanics of Machines, Lobachevskii State University, Nizhnii Novgorod; elena$_$

2Student of Lobachevskii State University, Nizhnii Novgorod.

Citation: E. Ya. Gurevich, D. T. Syainova, "[Realization of isotopic classes of gradient-like diffeomorphisms on torus]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:2 (2014) 46–56 (In Russian)