Chaotic motion of the ring conguration of N-vortex points on sphere

Abstract submitted to EE250 We consider the evolution of the vortex points on a sphere, which is often used to describe geophysical ows on Earth. The governing equations are derived from the two-dimensional incompressible Euler equations on the sphere by assuming that the vorticity is concentrated in points discretely. Speci cally, the motion of the vortex point with the strength m, located at (m; m) in the spherical coordinates, is given b