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, 2011, Volume 89, Issue 6, Pages 803–807
DOI: https://doi.org/10.4213/mzm8600 (Mi mzm8600) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields

I. V. Antjushina, N. M. Bliznyakov

Voronezh State University
Full-text PDF (415 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8600
Abstract: On the basis of a formula for calculating the topological index of a singular point of a planar vector field from the Newton diagrams of the field components, conditions on the integer points of the Newton diagram under which the index vanishes or is odd are determined.
Keywords: topological index of a singular point, analytic vector field, $\mathbb R$-nondegenerate vector field, Newton diagram, suitable Newton diagram, Cauchy index.
Received: 17.11.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 6, Pages 757–760
DOI: https://doi.org/10.1134/S0001434611050178
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: I. V. Antjushina, N. M. Bliznyakov, “Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields”, Mat. Zametki, 89:6 (2011), 803–807; Math. Notes, 89:6 (2011), 757–760
Citation in format AMSBIB
\Bibitem{AntBli11}
\by I.~V.~Antjushina, N.~M.~Bliznyakov
\paper Newton Diagrams, Odd Points, and the Index of Singular Points of Planar Vector Fields
\jour Mat. Zametki
\yr 2011
\vol 89
\issue 6
\pages 803--807
\mathnet{http://mi.mathnet.ru/mzm8600}
\crossref{https://doi.org/10.4213/mzm8600}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2908137}
\transl
\jour Math. Notes
\yr 2011
\vol 89
\issue 6
\pages 757--760
\crossref{https://doi.org/10.1134/S0001434611050178}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000292216000017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959670134}
Linking options:
  • https://www.mathnet.ru/eng/mzm8600
  • https://doi.org/10.4213/mzm8600
  • https://www.mathnet.ru/eng/mzm/v89/i6/p803
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025