Core Breakup

Reaction-diffusion equations with M. Bär and M. Eiswirth kinetics [8] are simulated. The initial condition is a stable rotating spiral for $\epsilon=0.072$. At the beginning of the simulation $\epsilon$ is changed to $0.0741$. The spiral wave breaks up close to the core (center) of the spiral. Linear stability computations as these parameter values show that the spiral is linearly unstable.

Model Parameters for simulation:

$$\begin{eqnarray*}a=0.75, b=0.0006, \epsilon=0.0741, D_v=0, L_x=L_y=160.\end{eqnarray*}$$