Spiral waves are induced in a thin layer of the light-sensitive Belousov-Zh
abotinsky reaction and controlled by a time-dependent uniform illumination.
The intensity of the illumination is taken to be proportional to the avera
ge wave activity observed within a circular domain of the reaction layer. S
tabilization and destabilization of spiral waves, as well as the existence
of additional types of attractors, are demonstrated. A simple mathematical
description is proposed in order to explain the existence of the attractors
and the dependence of their size on the time delay in the feedback loop.