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This article is cited in 5 scientific papers (total in 5 papers)
On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain
Leonid G. Kurakinab a Southern Mathematical Institute VSC RAS, Vladikavkaz, 362027 Russia
b Department of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, Milchakova St. 8a, Rostov-on-Don, 344090 Russia
Abstract:
We investigate the stability problem for stationary rotation of five identical point vortices located at the vertices of a regular pentagon inside a circular domain. The main result is the proof of theorems which have been announced by the author in Doklady Physics (2004, vol. 49, no. 11, pp. 658–661).
Keywords:
point vortices, stationary motion, stability, resonance.
Received: 29.08.2011 Accepted: 17.12.2011
Citation:
Leonid G. Kurakin, “On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain”, Regul. Chaotic Dyn., 17:2 (2012), 150–169
Linking options:
https://www.mathnet.ru/eng/rcd397 https://www.mathnet.ru/eng/rcd/v17/i2/p150
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