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

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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.

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Authors and Affiliations

  1. Institute of Electronic Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Chunguang Li, Xiaofeng Liao & Juebang Yu

  2. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, P.R. China

    Guangrong Chen

Authors
  1. Chunguang Li
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  2. Guangrong Chen
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  3. Xiaofeng Liao
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  4. Juebang Yu
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Corresponding author

Correspondence to Chunguang Li.

Additional information

Received: 19 December 2003, Published online: 21 October 2004

PACS:

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

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Li, C., Chen, G., Liao, X. et al. Hopf bifurcation and chaos in a single inertial neuron model with time delay. Eur. Phys. J. B 41, 337–343 (2004). https://doi.org/10.1140/epjb/e2004-00327-2

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  • DOI: https://doi.org/10.1140/epjb/e2004-00327-2

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