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 5, Pages 755–770
DOI: https://doi.org/10.4213/mzm8633 (Mi mzm8633) 		 
Invariants of the Homoclinic Trajectories of a Two-Dimensional Diffeomorphism

R. A. Mekhtiev

M. V. Lomonosov Moscow State University
Full-text PDF (574 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8633
Abstract: We consider homoclinic trajectories under the mapping of a two-dimensional manifold onto itself, define various invariants of homoclinic trajectories, and establish relations between them. We estimate the number of homoclinic trajectories whose distinct invariants possess values within prescribed limits.
Keywords: two-dimensional diffeomorphism, homoclinic trajectory, two-dimensional manifold, monodromy matrix, hyperbolic fixed point, separatrix, homoclinic point.
Received: 01.09.2009
Revised: 18.05.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 712–725
DOI: https://doi.org/10.1134/S0001434611050117
Bibliographic databases:
Document Type: Article
UDC: 514.1
Language: Russian
Citation: R. A. Mekhtiev, “Invariants of the Homoclinic Trajectories of a Two-Dimensional Diffeomorphism”, Mat. Zametki, 89:5 (2011), 755–770; Math. Notes, 89:5 (2011), 712–725
Citation in format AMSBIB
\Bibitem{Mek11}
\by R.~A.~Mekhtiev
\paper Invariants of the Homoclinic Trajectories of a Two-Dimensional Diffeomorphism
\jour Mat. Zametki
\yr 2011
\vol 89
\issue 5
\pages 755--770
\mathnet{http://mi.mathnet.ru/mzm8633}
\crossref{https://doi.org/10.4213/mzm8633}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858562}
\transl
\jour Math. Notes
\yr 2011
\vol 89
\issue 5
\pages 712--725
\crossref{https://doi.org/10.1134/S0001434611050117}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000292216000011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959678515}
Linking options:
  • https://www.mathnet.ru/eng/mzm8633
  • https://doi.org/10.4213/mzm8633
  • https://www.mathnet.ru/eng/mzm/v89/i5/p755
    • 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, 2024