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Matematicheskie Zametki, 2021, Volume 109, Issue 3, Pages 361–369
DOI: https://doi.org/10.4213/mzm12718 (Mi mzm12718) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points

E. V. Zhuzhoma, V. S. Medvedev

National Research University "Higher School of Economics", Moscow
Full-text PDF (472 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12718
Abstract: The paper describes the topological structure of closed manifolds of dimension $\ge4$ that admit Morse–Smale diffeomorphisms whose nonwandering sets contain arbitrarily many sink periodic points, arbitrarily many source periodic points, and two saddle periodic points. The underlying manifolds of Morse–Smale diffeomorphisms with fewer saddle periodic points are also described.
Keywords: Morse–Smale diffeomorphism, nonwandering set, topological structure.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1931
Russian Science Foundation 17-11-01041
This work, except for the proof of Theorem 2, was supported by the Laboratory of Dynamical Systems and Applications at National Research University Higher School of Economics (grant of the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-15-2019-1931). The proof of Theorem 2 was supported by the Russian Science Foundation under grant 17-11-01041.
Received: 11.03.2020
Revised: 01.07.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 3, Pages 398–404
DOI: https://doi.org/10.1134/S000143462103007X
Bibliographic databases:
Document Type: Article
UDC: 517.9+513.8
Language: Russian
Citation: E. V. Zhuzhoma, V. S. Medvedev, “Underlying Manifolds of High-Dimensional Morse–Smale Diffeomorphisms with Two Saddle Periodic Points”, Mat. Zametki, 109:3 (2021), 361–369; Math. Notes, 109:3 (2021), 398–404
Citation in format AMSBIB
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\by E.~V.~Zhuzhoma, V.~S.~Medvedev
\paper Underlying Manifolds of High-Dimensional Morse--Smale Diffeomorphisms with Two Saddle Periodic Points
\jour Mat. Zametki
\yr 2021
\vol 109
\issue 3
\pages 361--369
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\crossref{https://doi.org/10.4213/mzm12718}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4223924}
\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 3
\pages 398--404
\crossref{https://doi.org/10.1134/S000143462103007X}
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  • https://doi.org/10.4213/mzm12718
  • https://www.mathnet.ru/eng/mzm/v109/i3/p361
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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