Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 1997, Volume 61, Issue 5, Pages 899–931
DOI: https://doi.org/10.1070/im1997v061n05ABEH000148 (Mi im148) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On semi-unimodal maps of the plane and the structure of their sets of non-wandering points

V. A. Dobrynskii
English version PDF (586 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1070/im1997v061n05ABEH000148
Abstract: We consider a class of semi-unimodal endomorphisms of the plane and study their sets of non-wandering points. It is proved that there are parameter values such that these sets consist of several components, one of which is non-trivially non-compact (that is, has a trajectory receding to infinity), whereas the other components are compact and include a set that is an equivariant image of the Cantor set and part of its boundary is composed of self-similar elements (that is, has a fractal type structure). Furthermore, it turns out that there are parameter values such that the compact and non-compact components intertwine on the coordinate axes.
Received: 13.11.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 5, Pages 3–34
DOI: https://doi.org/10.4213/im148
Bibliographic databases:
MSC: 58F15
Language: English
Original paper language: Russian
Citation: V. A. Dobrynskii, “On semi-unimodal maps of the plane and the structure of their sets of non-wandering points”, Izv. RAN. Ser. Mat., 61:5 (1997), 3–34; Izv. Math., 61:5 (1997), 899–931
Citation in format AMSBIB
\Bibitem{Dob97}
\by V.~A.~Dobrynskii
\paper On semi-unimodal maps of the plane and the structure of their sets of non-wandering points
\jour Izv. RAN. Ser. Mat.
\yr 1997
\vol 61
\issue 5
\pages 3--34
\mathnet{http://mi.mathnet.ru/im148}
\crossref{https://doi.org/10.4213/im148}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1486696}
\zmath{https://zbmath.org/?q=an:0896.58049}
\transl
\jour Izv. Math.
\yr 1997
\vol 61
\issue 5
\pages 899--931
\crossref{https://doi.org/10.1070/im1997v061n05ABEH000148}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071929200001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-21944450763}
Linking options:
  • https://www.mathnet.ru/eng/im148
  • https://doi.org/10.1070/im1997v061n05ABEH000148
  • https://www.mathnet.ru/eng/im/v61/i5/p3
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:323
    Russian version PDF:182
    English version PDF:13
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024