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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2005, Volume 1, Number 2, Pages 233–246
(Mi nd201)
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This article is cited in 5 scientific papers (total in 5 papers)
Reduction and chaotic behavior of point vortices on a plane and a sphere
A. V. Borisovab, A. A. Kilinab, I. S. Mamaevab a Udmurt State University
b Institute of Computer Science
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. We also use the Poincaré surface-of-section technique to perform the reduction a four-vortex system on a sphere.
Keywords:
reduction, point vortex, equations of motion, Poincaré map.
Citation:
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Reduction and chaotic behavior of point vortices on a plane and a sphere”, Nelin. Dinam., 1:2 (2005), 233–246
Linking options:
https://www.mathnet.ru/eng/nd201 https://www.mathnet.ru/eng/nd/v1/i2/p233
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Statistics & downloads: |
Abstract page: | 256 | Full-text PDF : | 83 | First page: | 1 |
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