Reduction and chaotic behavior of point vortices on a plane and a sphere

zbMath1144.37458arXivnlin/0507057MaRDI QIDQ934385

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

Publication date: 29 July 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0507057

zbMATH Keywords

vortex dynamicsreductionPoincaré mappoint vortices

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47)

Related Items (8)

Integrability of point-vortex dynamics via symplectic reduction: a survey ⋮ On mathematical modeling of the dynamics of multilink systems and exoskeletons ⋮ The dynamics of vortex rings: leapfrogging, choreographies and the stability problem ⋮ Transition to chaos in dynamics of four point vortices on a plane ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ Integrability and chaos in vortex lattice dynamics ⋮ Dynamics of three vortices on a sphere ⋮ Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave

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