Mathematics – Dynamical Systems
Scientific paper
2002-10-02
Mathematics
Dynamical Systems
LaTeX2e, 13 pages, 5 figures
Scientific paper
10.1137/S1111111102415569
Point vortices on a cylinder (periodic strip) are studied geometrically. The
Hamiltonian formalism is developed, a non-existence theorem for relative
equilibria is proved, equilibria are classified when all vorticities have the
same sign, and several results on relative periodic orbits are established,
including as corollaries classical results on vortex streets and leapfrogging.
Montaldi James
Soulière Anik
Tokieda Tadashi
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