Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2021, Volume 109, Issue 3, Pages 361–369
DOI: https://doi.org/10.4213/mzm12718 (Mi mzm12718) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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 (1)
References:
PDF
HTML
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
\Bibitem{ZhuMed21}
\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
\mathnet{http://mi.mathnet.ru/mzm12718}
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000670513100007}
Linking options:
  • https://www.mathnet.ru/eng/mzm12718
  • https://doi.org/10.4213/mzm12718
  • https://www.mathnet.ru/eng/mzm/v109/i3/p361
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:206
    Full-text PDF :16
    References:19
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024