Oscillations in a refractory neural net.
A functional differential equation that arises from the classic theory of neural networks is considered. As the length of the absolute refractory period is varied, there is, as shown here, a super-critical Hopf bifurcation. As the ratio of the refractory period to the time constant of the network increases, a novel relaxation oscillation occurs. Some approximations are made and the period of this oscillation is computed.
Curtu
R
R
Department of Mathematics, University of Pittsburgh, PA 15260, USA.
Ermentrout
B
B
D008959:Models, Neurological; D009415:Nerve Net / Q000166:cytology / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009991:Oscillometry; D013997:Time Factors