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Trudy Moskovskogo Matematicheskogo Obshchestva, 2015, Volume 76, Issue 2, Pages 271–286 (Mi mmo578)  
This article is cited in 7 scientific papers (total in 7 papers)

The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor

V. Z. Grinesab, M. K. Noskovaa, O. V. Pochinkab

a Nizhniĭ Novgorod State University
b National Research University Higher School of Economics
Full-text PDF (560 kB) Citations (7)
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Abstract: In this paper we establish the existence of an energy function for structurally stable diffeomorphisms of closed three-dimensional manifolds whose nonwandering set contains a two-dimensional expanding attractor.
Key words and phrases: Energy function, $DA$-diffeomorphism, structurally stable.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-12452-офи-м
15-01-03687-а
Russian Science Foundation 14-41-00044
Received: 03.01.2015
Revised: 13.03.2015
English version:
Transactions of the Moscow Mathematical Society, 2015, Volume 76, Issue 2, Pages 237–249
DOI: https://doi.org/10.1090/mosc/249
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37D20
Language: Russian
Citation: V. Z. Grines, M. K. Noskova, O. V. Pochinka, “The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor”, Tr. Mosk. Mat. Obs., 76, no. 2, MCCME, M., 2015, 271–286; Trans. Moscow Math. Soc., 76:2 (2015), 237–249
Citation in format AMSBIB
\Bibitem{GriNosPoc15}
\by V.~Z.~Grines, M.~K.~Noskova, O.~V.~Pochinka
\paper The construction of an energy function for three-dimensional cascades with a two-dimensional expanding attractor
\serial Tr. Mosk. Mat. Obs.
\yr 2015
\vol 76
\issue 2
\pages 271--286
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo578}
\elib{https://elibrary.ru/item.asp?id=24850146}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2015
\vol 76
\issue 2
\pages 237--249
\crossref{https://doi.org/10.1090/mosc/249}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960106013}
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  • https://www.mathnet.ru/eng/mmo/v76/i2/p271
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Moskovskogo Matematicheskogo Obshchestva
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