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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2012, том 17, выпуск 2, страницы 150–169 (Mi rcd397)

Эта публикация цитируется в 5 статьях

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

Аннотация: 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).

Ключевые слова: point vortices, stationary motion, stability, resonance.

MSC: 76B47, 34D20, 70K30

Поступила в редакцию: 29.08.2011
Принята в печать: 17.12.2011

Язык публикации: английский

DOI: 10.1134/S1560354712020050



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