Eur. Phys. J. B 41, 337-343 (2004)
https://doi.org/10.1140/epjb/e2004-00327-2

Hopf bifurcation and chaos in a single inertial neuron model with time delay

¹ Institute of Electronic Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, P.R. China
² Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, P.R. China

Corresponding author: ^a cgli@uestc.edu.cn

Received: 19 December 2003
Published online: 21 October 2004

Abstract

A delayed differential equation modelling a single neuron with inertial term subject to time delay is considered in this paper. Hopf bifurcation is studied by using the normal form theory of retarded functional differential equations. When adopting a nonmonotonic activation function, chaotic behavior is observed. Phase plots, waveform plots, and power spectra are presented to confirm the chaoticity.