SCALING REGIME OF SPIRAL WAVE-PROPAGATION IN SINGLE-DIFFUSIVE MEDIA

We report uniformly scaling rotor solutions of the free-boundary problem of wave propagation in reaction-diffusion models of single-diffusive excitable-oscillatory media with a unique wavelength and rotation frequency obeying the Fife scaling lambda approximately epsilon--2/3 and omega approximately epsilon-1/3. In simulation of the models, the small-epsilon rotation regime appears to always be non-steady-state but, remarkably, it remains partially describable in terms of these solutions.