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CMFD, 2017, Volume 63, Issue 2, Pages 191–222 (Mi cmfd317)  

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 $3$.

Funding Agency Grant Number
National Research University Higher School of Economics 90
Russian Science Foundation 17-11-01041


DOI: https://doi.org/10.22363/2413-3639-2017-63-2-191-222

Full text: PDF file (1150 kB)
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UDC: 517.938

Citation: V. Z. Grines, O. V. Pochinka, “Construction of energetic functions for $\Omega$-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

Citation in format AMSBIB
\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}


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