36 citations · 55 across the 4 of their papers we have counts for
4 papers
Point vortices on the sphere: stability of relative equilibria
Frédéric Laurent-Polz, James Montaldi, Mark Roberts
We describe the linear and nonlinear stability and instability of certain symmetric configurations of point vortices on the sphere forming relative equilibria. These configurations…
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…
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…
Point vortices on the sphere: a case with opposite vorticities
Frederic Laurent-Polz
We study systems formed of 2N point vortices on a sphere with N vortices of strength +1 and N vortices of strength -1. In this case, the Hamiltonian is conserved by the symmetry wh…