SPIRALS IN EXCITABLE MEDIA - THE FREE-BOUNDARY LIMIT WITH DIFFUSION

We solve numerically for the steady-state spiral in the thin-interface limit, including the effects of diffusion of the slow field. The calc ulation is performed using a generalization of the hybrid scheme of Ke ener. In this method, the diffusion equation is solved on a suitable m apped lattice while the eikonal equation relating the field on the int erface to the interfacial velocity and curvature is solved independent ly. We present results for the selected frequency and tip radius as a function of the various parameters. We note that a stability analysis based on these results may be performed.