Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2001, Volume 192, Issue 6, Pages 807–821
DOI: https://doi.org/10.1070/SM2001v192n06ABEH000570 (Mi sm570) 		 
This article is cited in 41 scientific papers (total in 41 papers)

The dynamics of monotone maps of dendrites

L. S. Efremova, E. N. Makhrova

N. I. Lobachevski State University of Nizhni Novgorod
English version PDF (225 kB) Citations (41)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2001v192n06ABEH000570
Abstract: Monotone maps of dendrites with a countable closed set of branch points of finite order are studied. The structure of $\omega$-limit sets and of periodic and non-wandering sets is established, and it is proved that the topological entropy of monotone maps is equal to zero. It is shown that monotone maps of dendrites with a non-closed set of branch points of finite order may have properties different from those of the maps considered here.
Received: 21.10.1999 and 25.12.2000
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 6, Pages 15–30
DOI: https://doi.org/10.4213/sm570
Bibliographic databases:
UDC: 517.9
MSC: Primary 37E25; Secondary 37B45, 54H20, 37B40
Language: English
Original paper language: Russian
Citation: L. S. Efremova, E. N. Makhrova, “The dynamics of monotone maps of dendrites”, Mat. Sb., 192:6 (2001), 15–30; Sb. Math., 192:6 (2001), 807–821
Citation in format AMSBIB
\Bibitem{EfrMak01}
\by L.~S.~Efremova, E.~N.~Makhrova
\paper The dynamics of monotone maps of dendrites
\jour Mat. Sb.
\yr 2001
\vol 192
\issue 6
\pages 15--30
\mathnet{http://mi.mathnet.ru/sm570}
\crossref{https://doi.org/10.4213/sm570}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1860139}
\zmath{https://zbmath.org/?q=an:1008.37009}
\transl
\jour Sb. Math.
\yr 2001
\vol 192
\issue 6
\pages 807--821
\crossref{https://doi.org/10.1070/SM2001v192n06ABEH000570}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000171221500009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035538758}
Linking options:
  • https://www.mathnet.ru/eng/sm570
  • https://doi.org/10.1070/SM2001v192n06ABEH000570
  • https://www.mathnet.ru/eng/sm/v192/i6/p15
    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1149
    Russian version PDF:303
    English version PDF:29
    References:95
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024