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Dynamics Of A Fractional-Order Bam Neural Network With Leakage Delay And Communication Delay

Author

Listed:
  • CHENGDAI HUANG

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China)

  • HENG LIU

    (School of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, P. R. China)

  • YUEFEN CHEN

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China)

  • XIAOPING CHEN

    (Department of Mathematics, Taizhou University, Taizhou 225300, P. R. China)

  • FANG SONG

    (Microsoft Corporation, Redmond, WA 98052, USA)

Abstract

This paper lucubrates the bifurcations of a fractional-order bidirectional associative memory neural network (FOBAMNN) with leakage and communication delays. Firstly, leakage delay is taken as a bifurcation parameter to detect the bifurcations of the proposed neural network (NN). Leakage delay-induced bifurcation results are commendably established. Then communication delay is regarded as a bifurcation parameter to investigate the bifurcations of the developed FOBAMNN, and the stability interval and bifurcation point are derived. It reveals that the devised FOBAMNN possesses outstanding stability performance if selecting a lesser value of them, while the bifurcation emerges of FOBAMNN and eventually leads to performance deterioration with an outsize one. Besides, the influence of fractional order on the bifurcation points is carefully studied. It perceives that a proper fractional order can heighten the stability performance of the developed FOBAMNN. Ultimately, numerical simulations are exploited to underpin the developed theory.

Suggested Citation

  • Chengdai Huang & Heng Liu & Yuefen Chen & Xiaoping Chen & Fang Song, 2021. "Dynamics Of A Fractional-Order Bam Neural Network With Leakage Delay And Communication Delay," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-14, May.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500730
    DOI: 10.1142/S0218348X21500730
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    Citations

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    Cited by:

    1. Wang, Yangling & Cao, Jinde & Huang, Chengdai, 2022. "Exploration of bifurcation for a fractional-order BAM neural network with n+2 neurons and mixed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Bazán Navarro, Ciro Eduardo & Benazic Tomé, Renato Mario, 2024. "Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 425-443.

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