Point Vortices

Planar system applet

• Vortex applet (java applet; code written by compter science students)

On the sphere

• Relative equilibria of point vortices on the sphere (joint with Chjan Lim and Mark Roberts):
  we use symmetry methods to show the existence of many symmetric configurations of point vortices.
• Point vortices on the sphere: stability of symmetric relative equilibria (with Frédéric Laurent-Polz and Mark Roberts)
• Stability diagrams for configurations of point vortices on the sphere
To be viewed in conjunction with this paper

Other vortex papers

• Vortex dynamics on a cylinder (with Tadashi Tokieda)
• Dynamics of poles with position-dependent strengths and its optical analogues (with Tadashi Tokieda)
• Deformation of geometry and bifurcations of vortex rings (with Tadashi Tokieda)

Maple

• Maple code to accompany the paper on stability of relative equilibria on the sphere (see above)