Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 3, Pages 88–94
DOI: https://doi.org/10.4213/faa163 (Mi faa163) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On the Stability of Bifurcation Diagrams of Vanishing Flattening Points

R. Uribe-Vargas

Université Paris VII – Denis Diderot
Full-text PDF (167 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa163
Abstract: On a smooth surface in Euclidean $3$-space, we consider vanishing curves whose projections on a given plane are small circles centered at the origin. The bifurcations diagram of a parameter-dependent surface is the set of parameters and radii of the circles corresponding to curves with degenerate flattening points.
Solving a problem due to Arnold, we find a normal form of the first nontrivial example of a flattening bifurcation diagram, which contains one continuous invariant.
Keywords: flattening point, bifurcation diagram, singularity of a family of mappings.
Received: 13.05.2002
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 3, Pages 236–240
DOI: https://doi.org/10.1023/A:1026096919765
Bibliographic databases:
Document Type: Article
UDC: 514.75
Language: Russian
Citation: R. Uribe-Vargas, “On the Stability of Bifurcation Diagrams of Vanishing Flattening Points”, Funktsional. Anal. i Prilozhen., 37:3 (2003), 88–94; Funct. Anal. Appl., 37:3 (2003), 236–240
Citation in format AMSBIB
\Bibitem{Uri03}
\by R.~Uribe-Vargas
\paper On the Stability of Bifurcation Diagrams of Vanishing Flattening Points
\jour Funktsional. Anal. i Prilozhen.
\yr 2003
\vol 37
\issue 3
\pages 88--94
\mathnet{http://mi.mathnet.ru/faa163}
\crossref{https://doi.org/10.4213/faa163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2021140}
\zmath{https://zbmath.org/?q=an:1103.58019}
\transl
\jour Funct. Anal. Appl.
\yr 2003
\vol 37
\issue 3
\pages 236--240
\crossref{https://doi.org/10.1023/A:1026096919765}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000189391300010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-1642459828}
Linking options:
  • https://www.mathnet.ru/eng/faa163
  • https://doi.org/10.4213/faa163
  • https://www.mathnet.ru/eng/faa/v37/i3/p88
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:468
    Full-text PDF :192
    References:50
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024