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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 1-2, Pages 184–193
DOI: https://doi.org/10.1134/S1560354713010139 (Mi rcd104) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Falling Motion of a Circular Cylinder Interacting Dynamically with a Point Vortex

Sergei V. Sokolov, Sergei M. Ramodanov

Institute of Computer Science, Udmurt State University, 426034, Russia, Izhevsk, Universitetskaya str., 1
Citations (14)
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DOI: https://doi.org/10.1134/S1560354713010139
Abstract: The dynamical behavior of a heavy circular cylinder and a point vortex in an unbounded volume of ideal liquid is considered. The liquid is assumed to be irrotational and at rest at infinity. The circulation about the cylinder is different from zero. The governing equations are Hamiltonian and admit an evident autonomous integral of motion — the horizontal component of the linear momentum. Using the integral we reduce the order and thereby obtain a system with two degrees of freedom. The stability of equilibrium solutions is investigated and some remarkable types of partial solutions of the system are presented.
Keywords: point vortices, Hamiltonian systems, reduction, stability of equilibrium solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1.
The work of the second author was supported by the Support grant of leading scientific schools NSh-2519.2012.1.
Received: 11.08.2012
Accepted: 14.09.2012
Bibliographic databases:
Document Type: Article
MSC: 70Hxx, 70G65
Language: English
Citation: Sergei V. Sokolov, Sergei M. Ramodanov, “Falling Motion of a Circular Cylinder Interacting Dynamically with a Point Vortex”, Regul. Chaotic Dyn., 18:1-2 (2013), 184–193
Citation in format AMSBIB
\Bibitem{SokRam13}
\by Sergei V. Sokolov, Sergei M. Ramodanov
\paper Falling Motion of a Circular Cylinder Interacting Dynamically with a Point Vortex
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 1-2
\pages 184--193
\mathnet{http://mi.mathnet.ru/rcd104}
\crossref{https://doi.org/10.1134/S1560354713010139}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3040991}
\zmath{https://zbmath.org/?q=an:1273.70022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317623400013}
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  • https://www.mathnet.ru/eng/rcd/v18/i1/p184
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:181
    References:48
     
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