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
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.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004