SINGLE EFFECTIVE NEURON - MACROSCOPIC POTENTIAL AND NOISE-INDUCED BIFURCATIONS

We consider a network of N symmetrically interconnected neutrons subject to additive as well as multiplicative (in the synaptic connections) noise. In a previous paper, the dynamics of a single neuron, in the presence of additive and multiplicative noise, was obtained through the procedure of adiabatic elimination. We analyze the macroscopic potential that describes the steady-state properties of this effective neuron, considering the effects of additive as well as multiplicative noise (in the synaptic connections).