D.E. Pelinovsky and V.G. Yakhno
Generation of collective-activity structures in a homogeneous 
neuron-like medium 
II. Dynamics of propagating and pulsating structures
Int. J. Bifurcation and Chaos 6, 89-100 (1996) 
Abstract:
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.