Geodesic
On the stability of Thomson's vortex pentagon inside a circular domain
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 465-488

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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).
Mots-clés : point vortex
Keywords: stationary motion, stability, resonance. 
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     author = {Leonid G. Kurakin},
     title = {On the stability of {Thomson's} vortex pentagon inside a circular domain},
     journal = {Russian journal of nonlinear dynamics},
     pages = {465--488},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_3_a4/}
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Leonid G. Kurakin. On the stability of Thomson's vortex pentagon inside a circular domain. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 465-488. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a4/