Email this article Dynamics of Three Vortices on a Sphere
- Authors: Borisov A.V.1,2, Mamaev I.S.2,3, Kilin A.A.1,2
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Affiliations:
- Udmurt State University
- Moscow Institute of Physics and Technology
- Izhevsk State Technical University
- Issue: Vol 23, No 1 (2018)
- Pages: 127-134
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218933
- DOI: https://doi.org/10.1134/S1560354718010100
- ID: 218933
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Abstract
This paper is concerned with the dynamics of vortices on a sphere. It is shown that, as a result of reduction, the problem reduces to investigating a system with a nonlinear Poisson bracket. The topology of a symplectic leaf in the case of three vortices is studied.
About the authors
Alexey V. Borisov
Udmurt State University; Moscow Institute of Physics and Technology
Author for correspondence.
Email: borisov@rcd.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700
Ivan S. Mamaev
Moscow Institute of Physics and Technology; Izhevsk State Technical University
Email: borisov@rcd.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, 141700; ul. Studencheskaya 7, Izhevsk, 426069
Alexander A. Kilin
Udmurt State University; Moscow Institute of Physics and Technology
Email: borisov@rcd.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700
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