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

Chunguang Li, Guangrong Chen, Xiaofeng Liao, Juebang Yu

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

98 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)337-343
JournalEuropean Physical Journal B
Volume41
Issue number3
DOIs
Publication statusPublished - Oct 2004

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