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)

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.