Global dynamics in a restricted five vortices problem on the plane

DOI10.1007/s10884-019-09800-yzbMath1456.37102OpenAlexW2979466160MaRDI QIDQ2211282

Claudio Vidal, Marcelo Marchesin

Publication date: 11 November 2020

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-019-09800-y

zbMATH Keywords

vortex dynamicsHamiltonian systemsrestricted problem of five vortices on the plane

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) (n)-body problems (70F10)

Cites Work

• Unnamed Item
• Relative equilibria in the four-vortex problem with two pairs of equal vorticities
• Mathematical theory of incompressible nonviscous fluids
• Qualitative theory of planar differential systems
• Dynamics of restricted three and four vortices problem on the plane
• Stability of Relative Equilibria in the Planar $n$-Vortex Problem
• Classification of Continuous Flows on 2-Manifolds
• The vortex dynamics analogue of the restricted three-body problem: advection in the field of three identical point vortices
• Trapping of passive tracers in a point vortex system
• Dynamics of a passive tracer in a velocity field of four identical point vortices
• Global Structure of Ordinary Differential Equations in the Plane

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