English  |  正體中文  |  简体中文  |  Items with full text/Total items : 60861/93638 (65%)
Visitors : 1110377      Online Users : 26
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/53530

    Title: Existence of periodic solutions for a system of delay differential equations
    Authors: Hsu, Cheng-Hsiung;Yang, Suh-Yuh;Yang, Ting-Hui;Yang, Tzi-Sheng
    Contributors: 淡江大學數學學系
    Keywords: Delay differential equation;Poincaré–Bendixson theorem;Periodic solution;Lyapunov functional;Global exponential stability
    Date: 2009-12
    Issue Date: 2011-05-20 09:42:02 (UTC+8)
    Publisher: Kidlington: Pergamon
    Abstract: In this paper we mainly study the existence of periodic solutions for a system of delay differential equations representing a simple two-neuron network model of Hopfield type with time-delayed connections between the neurons. We first examine the local stability of the trivial solution, propose some sufficient conditions for the uniqueness of equilibria and then apply the Poincaré–Bendixson theorem for monotone cyclic feedback delayed systems to establish the existence of periodic solutions. In addition, a sufficient condition that ensures the trivial solution to be globally exponentially stable is also given. Numerical examples are provided to support the theoretical analysis.
    Relation: Nonlinear Analysis: Theory, Methods & Applications 71(12), pp.6222–6231
    DOI: 10.1016/j.na.2009.06.032
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

    Files in This Item:

    File Description SizeFormat
    0362-546X_71(12)_p6222-6231.pdf1128KbAdobe PDF221View/Open

    All items in 機構典藏 are protected by copyright, with all rights reserved.

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