Integrability and chaos in vortex lattice dynamics

DOI10.1134/S1560354719010064zbMath1458.76021OpenAlexW2913254368WikidataQ128425217 ScholiaQ128425217MaRDI QIDQ1739585

Elizaveta M. Artemova, Alexander A. Kilin

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1134/s1560354719010064

zbMATH Keywords

reduced systeminvariant manifoldPoincaré maptopological analysispoint vortices on torus

Mathematics Subject Classification ID

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

Related Items (3)

Integrability of point-vortex dynamics via symplectic reduction: a survey ⋮ Essential self-adjointness of Liouville operator for 2D Euler point vortices ⋮ The \(N\)-vortex problem in a doubly periodic rectangular domain with constant background vorticity

Cites Work

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• Point vortex interactions on a toroidal surface
• Stability of Thomson's configurations of vortices on a sphere

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