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具时滞的联想记忆神经网络模型动力学性质

李秀玲

李秀玲. 具时滞的联想记忆神经网络模型动力学性质[J]. 北京航空航天大学学报, 2013, 39(3): 371-375.
引用本文: 李秀玲. 具时滞的联想记忆神经网络模型动力学性质[J]. 北京航空航天大学学报, 2013, 39(3): 371-375.
Li Xiuling. Dynamical quality in bidirectional associative memory neural network model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(3): 371-375. (in Chinese)
Citation: Li Xiuling. Dynamical quality in bidirectional associative memory neural network model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2013, 39(3): 371-375. (in Chinese)

具时滞的联想记忆神经网络模型动力学性质

基金项目: 国家自然科学基金资助项目(10671031)
详细信息
    作者简介:

    李秀玲(1973-),女,吉林长春人,副教授,xlli2003@yahoo.com.cn.

  • 中图分类号: TP183

Dynamical quality in bidirectional associative memory neural network model

  • 摘要: 为了研究时滞对联想记忆神经网络模型动力学行为的影响,考虑了一个含有n+1个神经元的具多时滞的双向联想记忆神经网络模型.以模型中的时滞为参数,利用泛函微分方程的全局Hopf分支存在定理和常微分方程的Bendixson周期解不存在定理,给出该模型非平凡周期解全局存在的充分条件,为双向联想记忆神经网络的设计和应用提供了重要的理论依据.最后利用一个例子进行了数值仿真,仿真结果表明了结论的有效性.

     

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  • 被引次数: 0
出版历程
  • 收稿日期:  2012-03-19
  • 网络出版日期:  2013-03-31

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