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This article is cited in 16 scientific papers (total in 16 papers)
The Dynamics of Three Vortex Sources
Ivan A. Bizyaeva, Alexey V. Borisovba, Ivan S. Mamaevca a Udmurt State University,
ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Mathematics and Mechanics of the Ural Branch of RAS,
ul. S. Kovalevskoi 16, Ekaterinburg, 620990 Russia
c Moscow Institute of Physics and Technology,
Inststitutskii per. 9, Dolgoprudnyi, 141700 Russia
Abstract:
In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.
Keywords:
integrability, vortex sources, shape sphere, reduction, homothetic configurations.
Received: 14.08.2014 Accepted: 08.09.2014
Citation:
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701
Linking options:
https://www.mathnet.ru/eng/rcd192 https://www.mathnet.ru/eng/rcd/v19/i6/p694
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Abstract page: | 188 | References: | 52 |
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