Thanks, but I steer clear of any chaotic formulations. I think it's a no-win situation -- once a behavior is deemed chaotic (or turbulent), there's not much you can do about it (especially in terms of predictability)
That's why I am concentrating on the equatorial behaviors. For example, it’s known from condensed matter physics that vortices cannot form directly along an equator. The vortex-free zone is known as a Meissner belt in superconducting spherical shells. No vortices means there is no turbulence, so there is hope in analyzing the behavior.
> Coexistence of the Meissner and vortex states on a nanoscale superconducting spherical shell, April 2009, Physical review. B, Condensed matter 79(13)