淡江大學機構典藏:Item 987654321/58792
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 55499/89835 (62%)
造访人次 : 10954116      在线人数 : 31
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜寻范围 查询小技巧:
  • 您可在西文检索词汇前后加上"双引号",以获取较精准的检索结果
  • 若欲以作者姓名搜寻,建议至进阶搜寻限定作者字段,可获得较完整数据
  • 进阶搜寻


    jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58792


    题名: Stability and Bifurcation of a Two-Neuron Network with Distributed Time Delays
    作者: Hsu, Cheng-Hsiung;Yang, Suh-Yuh;Yang, Ting-Hui;Yang, Tzi-Sheng
    贡献者: 淡江大學數學學系
    关键词: Neural network;Distributed time delay;Characteristic equation;Hopf bifurcation;Pitchfork bifurcation;Normal form
    日期: 2010-06
    上传时间: 2011-10-01 21:11:32 (UTC+8)
    出版者: London: Elsevier Ltd
    摘要: In this paper we study the stability and bifurcation of the trivial solution of a two-neuron network model with distributed time delays. This model consists of two identical neurons, each possessing nonlinear instantaneous self-feedback and connected to the other neuron with continuously distributed time delays. We first examine the local asymptotic stability of the trivial solution by studying the roots of the corresponding characteristic equation, and then describe the stability and instability regions in the parameter space consisting of the self-feedback strength and the product of the connection strengths between the neurons. It is further shown that the trivial solution may lose its stability via a certain type of bifurcation such as a Hopf bifurcation or a pitchfork bifurcation. In addition, the criticality of Hopf bifurcation is investigated by means of the normal form theory. We also provide numerical evidence to support our theoretical analyses.
    關聯: Nonlinear Analysis: Real World Applications 11(3), pp.1472-1490
    DOI: 10.1016/j.nonrwa.2009.03.004
    显示于类别:[數學學系暨研究所] 期刊論文

    文件中的档案:

    档案 描述 大小格式浏览次数
    1468-1218_11(3)p1472-1490.pdf1404KbAdobe PDF188检视/开启
    1468-1218_11(3)p1472-1490.pdf1404KbAdobe PDF1检视/开启

    在機構典藏中所有的数据项都受到原著作权保护.

    TAIR相关文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回馈