Hopfield Model of a Neuron Action under Dynamical Thresholds
Arun Verma, Ruby Khan · International Journal of Computer Applications · 2011
In this paper we present Hopfield model of a neuron dynamics given by the neuronic equation.In the first model second order neuronic equation describe the behavior of a neuron in the presence of some local positive feedback.The second model portray two neurons in which first order neuronic equation represents dynamics of the second neuron in the presence of a discharged pulse coded signal function from the first neuron.We have shown that the solution is bounded and the paths surrounding the equilibrium point are not closed curves in the phase plane.Some conditions ensuring the existence and uniqueness of the equilibrium point are derived.