Dynamics of three vortices on a sphere

DOI10.1134/S1560354718010100zbMath1400.76055MaRDI QIDQ1795611

Alexey V. Borisov, Alexander A. Kilin, Ivan. S. Mamaev

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

reductionpoint vorticesspace of constant curvaturenonlinear Poisson bracket

Mathematics Subject Classification ID

Vortex methods applied to problems in fluid mechanics (76M23)

Related Items

Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere, Equilibria and stability of four point vortices on a sphere, On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

Cites Work

• Reduction and chaotic behavior of point vortices on a plane and a sphere
• Dynamics of three vortices on a plane and a sphere. II: General compact case
• Motion of three point vortices on a sphere
• The \(N\)-vortex problem. Analytical techniques
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