I. Sendinanadal et al., WAVE COMPETITION IN EXCITABLE MODULATED MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 6298-6301
The propagation of an initially planar front is studied within the fra
mework of the photosensitive Belousov-Zhabotinsky reaction modulated b
y a smooth spatial variation of the local front velocity in the direct
ion perpendicular to front propagation. Under this modulation, the wav
e front develops several fingers corresponding to the local maxima of
the modulation function. After a transient, the wave front achieves a
stationary shape that does not necessarily coincide with the one exter
nally imposed by the modulation. Theoretical predictions for the selec
tion criteria of fingers and steady-state velocity are experimentally
validated.