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Bifurcation analysis for a tri-neuron discrete-time BAM neural network with delays

Author

Listed:
  • Gan, Qintao
  • Xu, Rui
  • Hu, Wenhua
  • Yang, Pinghua

Abstract

In this paper, a tri-neuron discrete-time BAM neural network with delays is investigated. By analyzing the corresponding characteristic equations, the local asymptotic stability of the null solution and the existence of Neimark–Sacker bifurcations are discussed. By using the normal form theory and center manifold reduction, we derive explicit formulae to determine the stability and direction. Numerical simulations are carried out to illustrate the main results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2502-2511
    DOI: 10.1016/j.chaos.2009.03.151
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Zhang, Chunrui & Zheng, Baodong, 2007. "Stability and bifurcation of a two-dimension discrete neural network model with multi-delays," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1232-1242.
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