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Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay

Chunguang Li·Guanrong Chen·Xiaofeng Liao·Juebang Yu
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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.

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Chunguang Li, Guanrong Chen, Xiaofeng Liao, Juebang Yu. 2004-11-10. Hopf Bifurcation and Chaos in a Single Inertial Neuron Model with Time Delay. https://doi.org/10.1140/epjb%2Fe2004-00327-2

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