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, 2021, Volume 26, Issue 6, paper published in the English version journal
DOI: https://doi.org/10.1134/S1560354721060058 (Mi rcd1137) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Special Issue: 200th birthday of Hermann von Helmholtz

Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex

Ivan A. Bizyaeva, Ivan S. Mamaevb

a Ural Mathematical Center, Udmurt State University, ul. Universitetskaya 1, 426034 Izhevsk, Russia
b Izhevsk State Technical University, ul. Studencheskaya 7, 426069 Izhevsk, Russia
Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S1560354721060058
Abstract: This paper investigates the dynamics of a point vortex and a balanced circular foil in an ideal fluid. An explicit reduction to quadratures is performed. A bifurcation diagram is constructed and a classification of the types of integral manifolds is carried out. The stability of critical solutions is studied in which the foil and the vortex move in a circle or in a straight line.
Keywords: point vortex, ideal fluid, bifurcation diagram, stability, relative equilibria.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10050-mk
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1383
FZZN-2020-0011
The work of I. S. Mamaev (Sections 2 and 5) was carried out within the framework of the state assignment of the Ministry of Education and Science of Russia (FZZN-2020-0011) and supported by the RFBR Grant no. 18-29-10050-mk. The work of I.A. Bizyaev (Sections 3 and 4) was performed at the Ural Mathematical Center (Agreement no. 075-02-2021-1383).
Received: 27.09.2021
Accepted: 29.10.2021
Bibliographic databases:
Document Type: Article
MSC: 76M23, 34A05
Language: English
Citation: Ivan A. Bizyaev, Ivan S. Mamaev
Citation in format AMSBIB
\Bibitem{BizMam21}
\by Ivan A. Bizyaev, Ivan S. Mamaev
\mathnet{http://mi.mathnet.ru/rcd1137}
\crossref{https://doi.org/10.1134/S1560354721060058}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000727365900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85120817631}
Linking options:
  • https://www.mathnet.ru/eng/rcd1137
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:109
    References:23
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024