Bifurcation of stationary vortex configurations. II. Topology and integrability

Julian I. Palmore

doi:10.1016/0167-2789(83)90135-5

Bifurcation of stationary vortex configurations. II. Topology and integrability

Julian I. Palmore

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the dynamics of finitely many vortices in a circular disk and compare the integrability of this problem with that of Kirchhoff's problem of vortices in the plane. The effect of the topology of the phase space on the two Hamiltonian systems is compared. Our goal is to apply topological methods uniformly to investigate the flow of these dynamical systems.

Original language	English (US)
Pages (from-to)	324-329
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	7
Issue number	1-3
DOIs	https://doi.org/10.1016/0167-2789(83)90135-5
State	Published - May 1983

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(83)90135-5

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abstract = "We study the dynamics of finitely many vortices in a circular disk and compare the integrability of this problem with that of Kirchhoff's problem of vortices in the plane. The effect of the topology of the phase space on the two Hamiltonian systems is compared. Our goal is to apply topological methods uniformly to investigate the flow of these dynamical systems.",

author = "Palmore, {Julian I.}",

note = "Funding Information: This researchw as supportedin part by a grant from the National Science Foundation MCS81-21106.",

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AB - We study the dynamics of finitely many vortices in a circular disk and compare the integrability of this problem with that of Kirchhoff's problem of vortices in the plane. The effect of the topology of the phase space on the two Hamiltonian systems is compared. Our goal is to apply topological methods uniformly to investigate the flow of these dynamical systems.

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Bifurcation of stationary vortex configurations. II. Topology and integrability

Abstract

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