Leonid G. Kurakin, “On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain”, Regul. Chaotic Dyn., 2012, Volume 17, Issue 2,Pages <nobr>150

This article is cited in 5 papers

On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain

Leonid G. Kurakin^ab

^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.

MSC: 76B47, 34D20, 70K30

Received: 29.08.2011
Accepted: 17.12.2011

Language: English

DOI: 10.1134/S1560354712020050