D.E. Pelinovsky and V.G. Yakhno
Generation of collective-activity structures in a homogeneous
II. Dynamics of propagating and pulsating structures
Int. J. Bifurcation and Chaos 6, 89-100 (1996)
The correspondence between a general model of the neuron-like
medium with a self-consistent activation threshold and a broad
class of active two-component
(''activator-inhibitor'') diffusion systems is established.
The transformation of static collective-activity structures
into dynamical (propagating and pulsating) structures
is investigated for two types of active systems with positive
and negative diffusion.