M. Bar et M. Eiswirth, TURBULENCE DUE TO SPIRAL BREAKUP IN A CONTINUOUS EXCITABLE MEDIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(3), 1993, pp. 180001635-180001637
Excitable media are extended spatial systems, which support the propag
ation of waves including pulses and rotating spirals. They are well de
scribed by sets of partial differential equations involving a fast act
ivator and a slow inhibitor variable. Here we show that spiral breakup
, leading to turbulence, can occur in a two-dimensional reaction-diffu
sion system with delayed-inhibitor production. Upon a decrease of exci
tability, spirals become unstable because their wavelengths and period
s are too short to be sustained in the system.