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Stability and bifurcation of a discrete BAM neural network model with delays

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  • Zheng, Baodong
  • Zhang, Yang
  • Zhang, Chunrui

Abstract

A map modelling a discrete bidirectional associative memory neural network with delays is investigated. Its dynamics is studied in terms of local analysis and Hopf bifurcation analysis. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. It is found that there exist Hopf bifurcations when the delay passes a sequence of critical values. Numerical simulation is performed to verify the analytical results.

Suggested Citation

  • Zheng, Baodong & Zhang, Yang & Zhang, Chunrui, 2008. "Stability and bifurcation of a discrete BAM neural network model with delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 612-616.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:612-616
    DOI: 10.1016/j.chaos.2006.06.073
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    References listed on IDEAS

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    1. Zhang, Chunrui & Zheng, Baodong, 2005. "Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 129-146.
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    Cited by:

    1. Alfifi, H.Y., 2022. "Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Gan, Qintao & Xu, Rui & Hu, Wenhua & Yang, Pinghua, 2009. "Bifurcation analysis for a tri-neuron discrete-time BAM neural network with delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2502-2511.
    3. Yang, Yu & Ye, Jin, 2009. "Stability and bifurcation in a simplified five-neuron BAM neural network with delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2357-2363.

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