Nonintegrability of Hamiltonian Systems in Vortex Dynamics. II. The motion of four point vortices on a sphere

    1997, Volume 2, Number 2, pp.  58-64

    Author(s): Bagrets A. A., Bagrets D. A.

    Using the separatrix split method the nonintegrability of Hamiltonian system describing the motion of four point vortices on a sphere is proved.
    Citation: Bagrets A. A., Bagrets D. A., Nonintegrability of Hamiltonian Systems in Vortex Dynamics. II. The motion of four point vortices on a sphere, Regular and Chaotic Dynamics, 1997, Volume 2, Number 2, pp. 58-64
    DOI: 10.1070/RD1997v002n02ABEH000036


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