  Rotating spiral waves without phase singularity are found to arise in a
certain class of three-component reaction-diffusion systems of biological
relevance. It is argued that this phenomenon is universal when some chemical
components involved are diffusion-free. Some more detailed mathematical and
numerical analyses are carried out on a complex Ginzburg-Landau equation with
non-local coupling to which the original system is reduced close to a
codimension-two parameter set.
