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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 3, Pages 313–318
DOI: https://doi.org/10.1070/RD2003v008n03ABEH000247
(Mi rcd785)
 

Motion of two circular cylinders in a perfect fluid

S. M. Ramodanov

Moscow, Russia
Abstract: A planar analog of the Bjeknes problem of interaction of two spheres in a perfect fluid is considered. For the case of equal circulations around the cylinders, the equations of motion in the Poincare–Chetaev form are obtained, the integrals of motion are indicated. The problem is then reduced to a problem with two degrees of freedom. Most probably, this reduced problem is not integrable.
Received: 14.03.2003
Bibliographic databases:
Document Type: Article
MSC: 37J60
Language: English
Citation: S. M. Ramodanov, “Motion of two circular cylinders in a perfect fluid”, Regul. Chaotic Dyn., 8:3 (2003), 313–318
Citation in format AMSBIB
\Bibitem{Ram03}
\by S. M. Ramodanov
\paper Motion of two circular cylinders in a perfect fluid
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 3
\pages 313--318
\mathnet{http://mi.mathnet.ru/rcd785}
\crossref{https://doi.org/10.1070/RD2003v008n03ABEH000247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2020847}
\zmath{https://zbmath.org/?q=an:1049.37526}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..313R}
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