V. Z. Grines, O. V. Pochinka, “Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds”, CMFD, 2017, Volume 63, Issue 2,Pages 191

This article is cited in 3 papers

Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds

V. Z. Grines, O. V. Pochinka

National Research University — Higher School of Economics, 25/12 Bolshaya Pecherskaya str., 603155 Nizhnii Novgorod, Russia

Abstract: In this paper, we review the results connected to existence of the energetic function for discrete dynamical systems. Also we consider technique of construction of such functions for some classes of $\Omega$-stable and structurally stable diffeomorphisms on manifolds of dimension $2$ and $3$.

UDC: 517.938

DOI: 10.22363/2413-3639-2017-63-2-191-222