title: Nonintegrability of two problems in vortex dynamics.
abstract: An analysis is presented of two problems in vortex dynamics whose equations can be written in the Hamiltonian form. They are: the interaction of three coaxial vortex rings and the motion of four point vortices on a sphere. The nonintegrability of these problems in the restricted formulation is demonstrated analytically by the method of split separatrices, using a small parameter. (c) 1997 American Institute of Physics.
authors.affiliation: Department of Physics, Udmurt State University, 71 Krasnogeroiskaya St., 426034 Izhevsk, Russia.
authors.forename: A. A.
authors.initials: AA
authors.lastname: Bagrets
authors.forename: D. A.
authors.initials: DA
authors.lastname: Bagrets