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

2012, Volume 17, Number 2, pp. 150-169

Author(s): Kurakin L. G.

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

Citation: Kurakin L. G., On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain, Regular and Chaotic Dynamics, 2012, Volume 17, Number 2, pp. 150-169

DOI: 10.1134/S1560354712020050

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