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

Chunguang Li; Guangrong Chen; Xiaofeng Liao; Juebang Yu

doi:10.1140/epjb/e2004-00327-2

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

Chunguang Li
, Guangrong Chen
, Xiaofeng Liao
, Juebang Yu

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

100 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 language	English
Pages (from-to)	337-343
Journal	European Physical Journal B
Volume	41
Issue number	3
DOIs	https://doi.org/10.1140/epjb/e2004-00327-2
Publication status	Published - Oct 2004

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@article{b724395957b442be9b90c2f413750033,

title = "Hopf bifurcation and chaos in a single inertial neuron model with time delay",

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.",

author = "Chunguang Li and Guangrong Chen and Xiaofeng Liao and Juebang Yu",

year = "2004",

month = oct,

doi = "10.1140/epjb/e2004-00327-2",

language = "English",

volume = "41",

pages = "337--343",

journal = "European Physical Journal B",

issn = "1434-6028",

publisher = "Springer New York",

number = "3",

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TY - JOUR

T1 - Hopf bifurcation and chaos in a single inertial neuron model with time delay

AU - Li, Chunguang

AU - Chen, Guangrong

AU - Liao, Xiaofeng

AU - Yu, Juebang

PY - 2004/10

Y1 - 2004/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/10044219824

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-10044219824&origin=recordpage

U2 - 10.1140/epjb/e2004-00327-2

DO - 10.1140/epjb/e2004-00327-2

M3 - RGC 21 - Publication in refereed journal

SN - 1434-6028

VL - 41

SP - 337

EP - 343

JO - European Physical Journal B

JF - European Physical Journal B

IS - 3

ER -

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

Abstract

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