RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find






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


Tr. Mosk. Mat. Obs., 2014, Volume 75, Issue 1, Pages 15–24 (Mi mmo555)  

Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open

N. A. Solodovnikov

National Research University "Higher School of Economics", Moscow

Abstract: We construct an open set of $ C^2$-diffeomorphisms which preserve the boundary of some manifold, and which have the following property: for each mapping, the basin of attraction of one component of the attractor is open and everywhere dense, but the basin of attraction of the second component is nowhere dense, though its measure is positive.

Full text: PDF file (275 kB)
References: PDF file   HTML file

English version:
Transactions of the Moscow Mathematical Society, 2014, 75, 69–76

Document Type: Article
UDC: 517.938.5
MSC: 37E99
Received: 30.04.2013

Citation: N. A. Solodovnikov, “Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open”, Tr. Mosk. Mat. Obs., 75, no. 1, MCCME, M., 2014, 15–24; Trans. Moscow Math. Soc., 75 (2014), 69–76

Citation in format AMSBIB
\Bibitem{Sol14}
\by N.~A.~Solodovnikov
\paper Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open
\serial Tr. Mosk. Mat. Obs.
\yr 2014
\vol 75
\issue 1
\pages 15--24
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo555}
\elib{http://elibrary.ru/item.asp?id=23780152}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2014
\vol 75
\pages 69--76
\crossref{https://doi.org/10.1090/S0077-1554-2014-00241-7}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84960131684}


Linking options:
  • http://mi.mathnet.ru/eng/mmo555
  • http://mi.mathnet.ru/eng/mmo/v75/i1/p15

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Trudy Moskovskogo Matematicheskogo Obshchestva
    Number of views:
    This page:98
    Full text:39
    References:21

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019