THE CONSTRUCTING OF ENERGY FUNCTIONS FOR [OMEGA]-STABLE DIFFEOMORPHISMS ON 2- AND 3-MANIFOLDS

THE CONSTRUCTING OF ENERGY FUNCTIONS FOR [OMEGA]-STABLE DIFFEOMORPHISMS ON 2- AND 3-MANIFOLDS

In this paper, we review results related to the existence of the energy function for discrete dynamical systems. Also, we consider the technique of constructing such functions for various classes of [OMEGA]-stable and structurally stable diffeomorphisms on manifolds of dimension 2 and 3.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-10, Vol.250 (4), p.537
Hauptverfasser: Grines, V.Z, Pochinka, O.V
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we review results related to the existence of the energy function for discrete dynamical systems. Also, we consider the technique of constructing such functions for various classes of [OMEGA]-stable and structurally stable diffeomorphisms on manifolds of dimension 2 and 3.
ISSN:1072-3374
1573-8795
DOI:10.1007/[S.sup.1]0958-020-05028-0