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 {λ}{~}ε2/3 and {ω}{~}ε^-1/3. In simulation of the models, the small-{ε} rotation regime appears to always be non-steady-state but, remarkably, it remains partially describable in terms of these solutions.