We consider a mean-field dynamo where the α-effect and β-effect interact. The inclusion of the β term introduces a hyperbolicity into the model. We present a phase plane analysis for two scalar fields in a model of a galactic dynamo. Unlike a modal analysis, the specific boundary conditions are not crucial to most of our analysis. However, we consider only special initial conditions, and these are of dipole or quadrupole symmetry.
Available at: http://works.bepress.com/tom_svobodny/8/