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

Chunguang Li (), Guangrong Chen, Xiaofeng Liao and Juebang Yu

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 41, issue 3, 337-343

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. Copyright Springer-Verlag Berlin/Heidelberg 2004

Date: 2004
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DOI: 10.1140/epjb/e2004-00327-2

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