Synaptic regulation of the state of excitable membranes

Hodgkin-Huxly equations accounting for (stationary) control signals (synaptic conductivity and current) have stationary and periodic solutions. The domain of unstability of stationary solutions determined on the control signals plane (excitation and inhibition). On one part of the domain boundary a decrease of excitation and increase of inhibition suppress oscillations. On another part of the boundary they induced oscillations, which were not explained previously in accordance with the experimental data.