Reduction of the Soto–Alexandrov Model of Activity of the Afferent Primary Neuron

Abstract

We consider a nonlinear ordinary differential system of the third order—the Hodgkin–Huxley model with Soto–Alexandrov modifications. The system is reduced to a second-order system and an algebraic equation in the vicinity of the equilibrium point which corresponds to the Andronov–Hopf bifurcation. This results in the transition to the second-order model with the value refinement