Nonintegrability of two problems in vortex dynamics.
作者信息
Bagrets A. A., Bagrets D. A.
机构信息
Department of Physics, Udmurt State University, 71 Krasnogeroiskaya St., 426034 Izhevsk, Russia.
出版信息
Chaos. 1997 Sep;7(3):368-375. doi: 10.1063/1.166210.
DOI:10.1063/1.166210
PMID:12779664
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.
摘要
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