Deformation of geometry and bifurcations of vortex rings

نویسندگان

  • James Montaldi
  • Tadashi Tokieda
چکیده

We construct a smooth family of Hamiltonian systems, together with a family of group symmetries and momentum maps, for the dynamics of point vortices on surfaces parametrized by the curvature of the surface. Equivariant bifurcations in this family are characterized, whence the stability of the Thomson heptagon is deduced without recourse to the Birkhoff normal form, which has hitherto been a necessary tool.

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تاریخ انتشار 2012