D.E. Pelinovsky and V.G. Yakhno
Generation of collective-activity structures in a homogeneous
neuron-like medium
I. Bifurcation analysis of static structures
Int. J. Bifurcation and Chaos 6, 81-87 (1996)
Abstract:
A general model of the neuron-like medium with
a selfconsistent excitation threshold is considered.
The necessary and sufficient conditions of stability of static
collective-activity structures in this model are found.
The structure bifurcations which are possible by
additional inertial inhibition introduced by a local excitation
threshold are analyzed using a linear approach.
Keywords:
MATHEMATICAL-THEORY, NETWORKS, DYNAMICS