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

Author

Listed:
  • Chunguang Li
  • Guangrong Chen
  • Xiaofeng Liao
  • Juebang Yu

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

Suggested Citation

  • Chunguang Li & Guangrong Chen & Xiaofeng Liao & Juebang Yu, 2004. "Hopf bifurcation and chaos in a single inertial neuron model with time delay," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(3), pages 337-343, October.
    • Handle: RePEc:spr:eurphb:v:41:y:2004:i:3:p:337-343
    DOI: 10.1140/epjb/e2004-00327-2
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    Cited by:

    1. Yang, Xiaofan & Yang, Maobin & Liu, Huaiyi & Liao, Xiaofeng, 2008. "Bautin bifurcation in a class of two-neuron networks with resonant bilinear terms," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 575-589.
    2. Huang, Chuangxia & Huang, Lihong & Feng, Jianfeng & Nai, Mingyong & He, Yigang, 2007. "Hopf bifurcation analysis for a two-neuron network with four delays," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 795-812.
    3. Li, Yi & Zhou, Xiaobing & Wu, Yue & Zhou, Mingtian, 2006. "Hopf bifurcation analysis of a tabu learning two-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 190-197.

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