Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay
Chaotic Dynamics
2007-05-23 v1
Abstract
A delayed differential equation modelling a single neuron with inertial term 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.
Keywords
Cite
@article{arxiv.nlin/0411027,
title = {Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay},
author = {Chunguang Li and Guanrong Chen and Xiaofeng Liao and Juebang Yu},
journal= {arXiv preprint arXiv:nlin/0411027},
year = {2007}
}
Comments
12 pages, 7 figures