Av. Panfilov et P. Hogeweg, SCROLL BREAKUP IN A 3-DIMENSIONAL EXCITABLE MEDIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1740-1743
We show that a scroll wave in a homogeneous three-dimensional (3D) exc
itable medium can spontaneously break up into an irregular spatial pat
tern. This occurs in a FitzHugh-Nagumo model with modified dynamics of
the slow variable (shortened relative refractory period of the excita
ble medium). The mechanism of the scroll breakup in 3D is similar to t
he mechanism of the spiral breakup in 2D and is associated with the in
stability of wave propagation under high frequency forcing.