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On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms

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  • Lou, Xuyang
  • Cui, Baotong
  • Wu, Wei

Abstract

Both exponential stability and existence of periodic solutions are considered for a class of bi-directional associative memory (BAM) neural networks with distributed delays and reaction–diffusion terms by constructing suitable Lyapunov functional and Young inequality technique. The general sufficient conditions are given ensuring the global exponential stability and existence of periodic solutions of BAM neural networks with distributed delays and reaction–diffusion terms. The earlier results are extended and improved, and an illustrative example is given to demonstrate the effectiveness of the results in this paper.

Suggested Citation

  • Lou, Xuyang & Cui, Baotong & Wu, Wei, 2008. "On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction–diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1044-1054.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:1044-1054
    DOI: 10.1016/j.chaos.2006.08.005
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    References listed on IDEAS

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    1. Cui, Bao Tong & Lou, Xu Yang, 2006. "Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1347-1354.
    2. Lou, Xu Yang & Cui, Bao Tong, 2006. "Global asymptotic stability of delay BAM neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 1023-1031.
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    Cited by:

    1. Senan, Sibel & Arik, Sabri, 2009. "New results for global robust stability of bidirectional associative memory neural networks with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2106-2114.
    2. Sun, Jitao & Wang, Qing-Guo & Gao, Hanqiao, 2009. "Periodic solution for nonautonomous cellular neural networks with impulses," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1423-1427.
    3. Yunjian Peng & Birong Zhao & Weijie Sun & Feiqi Deng, 2018. "Exponential Stabilization of Coupled Hybrid Stochastic Delayed BAM Neural Networks: A Periodically Intermittent Control Method," Complexity, Hindawi, vol. 2018, pages 1-14, December.

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