Hannay-Berry phase and the restricted three-vortex problem

DOI10.1016/S0167-2789(05)80018-1zbMath0899.76096OpenAlexW4238742403MaRDI QIDQ1341025

Paul K. Newton

Publication date: 21 December 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80018-1

zbMATH Keywords

asymptotic expansionstracer particleparticle trajectorymulti-scale perturbation methodcompletely integrable configuration of two co-rotating point vortices

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hamilton's equations (70H05) Applications of dynamical systems (37N99)

Related Items (2)

Reconstruction phases in the planar three- and four-vortex problems ⋮ Geometric phases for corotating elliptical vortex patches

Cites Work

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• Perturbation methods in applied mathematics
• On geometric phases for soliton equations
• Motion of three vortices
• Four vortices on doubly periodic paths
• On The Motion of Three Vortices
• Three-vortex motion with zero total circulation

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