一维Hopfield神经网络模型的多稳态分析
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

O175; TP183

基金项目:

国家自然科学基金


Multistable analysis for one dimensional Hopfield neural networks
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    该文讨论一维Hopfield神经网络模型的多稳态问题.当模型所含S型激活函数没有有界性限制时,该文首先讨论了模型平衡点的存在性,并进一步给出了模型取得一个, 二个, 或三个平衡点的参数条件以及每个平衡点的稳定性.然后该文获得了模型在参数所有取值情况下的平衡点个数及其稳定性的结论.最后, 通过两个实例及其数值模拟说明了结论的有效性.

    Abstract:

    This paper focuses on multistable analysis of one dimensional Hopfield neural networks, whose sigmoid activation function may not be bounded. Firstly, the condition for the existence of equilibria is established. Moreover, the conditions for exactly 1, 2, or 3 equilibria and their stability respectively are proposed with some constraints for network parameters. Then, the corresponding results about the equilibria features are supplemented in the remaining cases for the parameters. Thus, we obtain the relationships between all the different values of the parameters and the number of equilibria as well as their stability. Finally, by employing bounded and unbounded activation functions, two examples and numerical simulations are used to illustrate the theory developed in this paper.

    参考文献
    相似文献
    引证文献
引用本文

引用本文格式: 宿娟,何志蓉. 一维Hopfield神经网络模型的多稳态分析[J]. 四川大学学报: 自然科学版, 2016, 53: 260.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2014-09-25
  • 最后修改日期:2014-12-15
  • 录用日期:2015-01-13
  • 在线发布日期: 2016-05-30
  • 出版日期: