Dynamics of perturbed equilateral and collinear configurations of three point vortices

DOI10.1134/S1560354708020032zbMath1229.37116MaRDI QIDQ652947

A. I. Gudimenko

Publication date: 6 January 2012

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

zbMATH Keywords

perturbation theorypoint vorticesintegrable dynamics

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (3)

Stability of the relative equilibrium of three vortex charges with zero total intensity ⋮ Three-vortex motion with zero total circulation ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions

Cites Work

• Absolute and relative choreographies in the problem of point vortices moving on a plane

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