On the stability of Thomson's vortex pentagon inside a circular domain

Leonid G. Kurakin

Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 465-488.

Résumé

We investigate the stability problem for a system of five stationary rotation 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 the author in paper (Doklady Physics, 2004, vol. 49, no. 11, pp. 658–661).

Détail

Mots-clés : point vortex
Keywords: stationary motion, stability, resonance.

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