Dynamics and statics of vortices on a plane and a sphere - I

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dc.creatorBorisov, A. V.
dc.creatorPavlov, A. E.
dc.date2005-03-23
dc.date.accessioned2026-07-07T05:36:22Z
dc.date.available2026-07-07T05:36:22Z
dc.descriptionIn the present paper a description of a problem of point vortices on a plane and a sphere in the "internal" variables is discussed. The hamiltonian equations of motion of vortices on a plane are built on the Lie-Poisson algebras, and in the case of vortices on a sphere on the quadratic Jacobi algebras. The last ones are obtained by deformation of the corresponding linear algebras. Some partial solutions of the systems of three and four vortices are considered. Stationary and static vortex configurations are found.
dc.description16 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0503049
dc.identifierhttp://arxiv.org/abs/nlin/0503049
dc.identifierRegular and Chaotic Dynamics, 1998 Volume 3 Number 1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80966
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleDynamics and statics of vortices on a plane and a sphere - I
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