Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2008, Issue 1, Pages 127–132
DOI: https://doi.org/10.20537/vm080108 (Mi vuu180) 		 
COMPUTER SCIENCE

Numerical integration of differential dynamical equations. Vortex dynamics applications

A. V. Borisov

Institute of Computer Science
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DOI: https://doi.org/10.20537/vm080108
Abstract: We offer a new method of reduction for a system of point vortices on a plane and a sphere. This method is similar to the classical node elimination procedure. However, as applied to the vortex dynamics, it requires substantial modification. Reduction of four vortices on a sphere is given in more detail.
Keywords: reduction, point vortex, equations of motion, Poincaré map.
Received: 01.10.2007
Document Type: Article
UDC: 532.5.013
MSC: 76M23, 34A05
Language: Russian
Citation: A. V. Borisov, “Numerical integration of differential dynamical equations. Vortex dynamics applications”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 1, 127–132
Citation in format AMSBIB
\Bibitem{Bor08}
\by A.~V.~Borisov
\paper Numerical integration of differential dynamical equations. Vortex dynamics applications
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2008
\issue 1
\pages 127--132
\mathnet{http://mi.mathnet.ru/vuu180}
\crossref{https://doi.org/10.20537/vm080108}
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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