Reduction and chaotic behavior of point vortices on a plane and a sphere

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dc.creatorBorisov, A. V.
dc.creatorKilin, A. A.
dc.creatorMamaev, I. S.
dc.date2005-07-26
dc.date.accessioned2026-07-07T05:36:35Z
dc.date.available2026-07-07T05:36:35Z
dc.descriptionWe 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 Poincare surface-of-section technique to perform the reduction a four-vortex system on a sphere.
dc.description10 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0507057
dc.identifierhttp://arxiv.org/abs/nlin/0507057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81042
dc.subjectExactly Solvable and Integrable Systems
dc.titleReduction and chaotic behavior of point vortices on a plane and a sphere
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