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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/rcd104
https://www.mathnet.ru/eng/rcd/v18/i1/p184
This publication is cited in the following 14 articles:
Citation in format AMSBIB
Contact us: