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 Ω-stable and structurally stable diffeomorphisms on manifolds of dimension 2 and 3.
Citation:
V. Z. Grines, O. V. Pochinka, “Construction of energetic functions for Ω-stable diffeomorphisms on 2- and 3-manifolds”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 63, no. 2, Peoples' Friendship University of Russia, M., 2017, 191–222
\Bibitem{GriPoc17}
\by V.~Z.~Grines, O.~V.~Pochinka
\paper Construction of energetic functions for $\Omega$-stable diffeomorphisms on $2$- and $3$-manifolds
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2017
\vol 63
\issue 2
\pages 191--222
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd317}
\crossref{https://doi.org/10.22363/2413-3639-2017-63-2-191-222}
Linking options:
https://www.mathnet.ru/eng/cmfd317
https://www.mathnet.ru/eng/cmfd/v63/i2/p191
This publication is cited in the following 3 articles:
M. K. Barinova, O. A. Kolchurina, E. I. Yakovlev, “On 3-diffeomorphisms with generalized Plykin attractors”, Sb. Math., 215:9 (2024), 1135–1158
M. K. Barinova, E. K. Shustova, “Ob energeticheskoi funktsii dlya pryamogo proizvedeniya diskretnykh dinamicheskikh sistem”, Zhurnal SVMO, 25:2 (2023), 11–21
A. E. Kolobyanina, V. E. Kruglov, “Energeticheskaya funktsiya dlya Ω-ustoichivykh potokov bez predelnykh tsiklov na poverkhnostyakh”, Zhurnal SVMO, 21:4 (2019), 460–468
Citation in format AMSBIB
Contact us: