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math.DS2004
Relative periodic orbits in point vortex systems
Frederic Laurent-Polz
We give a method to determine relative periodic orbits in point vortex systems: it consists mainly into perform a symplectic reduction on a fixed point submanifold in order to obta…
math.DS2003★ 6 cited
Point vortices on a rotating sphere
Frederic Laurent-Polz
We study the dynamics of point vortices on a rotating sphere. The Hamiltonian system becomes infinite dimensional due to the non-uniform background vorticity coming from the Co…