Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Regular and Chaotic Dynamics, 1999, Volume 4, Issue 3, Pages 70–81
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000119 (Mi rcd915) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Qualitative Analysis of a Joint Dynamics of Kirchhoff and a Point Vortices

V. G. Lebedev

Physical Faculty, Department of Theoretical Physics, Udmurt State University, Universitetskaya, 1, Izhevsk, 426034
Citations (1)
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000119
Abstract: The integrable problem of a joint motion of a point vortex and the Kirchhoff one is considered. The reduction of the system is carried out in algebraic variables. The phase portrait of the system is constructed, the points of relative equilibrium are investigated. The solutions relevant to elliptic fixed points are found in absolute coordinates. Nonintegrability of interaction of a vortex spot with two point vortices is proved for the restricted problem.
Received: 21.08.1999
Bibliographic databases:
Document Type: Article
MSC: 76C05
Language: English
Citation: V. G. Lebedev, “A Qualitative Analysis of a Joint Dynamics of Kirchhoff and a Point Vortices”, Regul. Chaotic Dyn., 4:3 (1999), 70–81
Citation in format AMSBIB
\Bibitem{Leb99}
\by V. G. Lebedev
\paper A Qualitative Analysis of a Joint Dynamics of Kirchhoff and a Point Vortices
\jour Regul. Chaotic Dyn.
\yr 1999
\vol 4
\issue 3
\pages 70--81
\mathnet{http://mi.mathnet.ru/rcd915}
\crossref{https://doi.org/10.1070/RD1999v004n03ABEH000119}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1777883}
\zmath{https://zbmath.org/?q=an:1137.76326}
Linking options:
  • https://www.mathnet.ru/eng/rcd915
  • https://www.mathnet.ru/eng/rcd/v4/i3/p70
    • 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
    Statistics & downloads:
    Abstract page:52
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024