• DocumentCode
    389953
  • Title

    Hopf bifurcation analysis on a two-neuron system in the frequency domain

  • Author

    Li, Shaowen ; Li, Shaorong ; Liao, Xiaofeng

  • Author_Institution
    Dept. of Math., Southwest Univ. of Finance & Econ. of China, Chengdu, China
  • Volume
    2
  • fYear
    2002
  • fDate
    29 June-1 July 2002
  • Firstpage
    1652
  • Abstract
    In this paper, we study a two-neuron system with distributed delays in the frequency domain. Allowing the mean delay as a-bifurcating parameter and using the Nyquist criterion, we obtain that Hopf bifurcation occurs for a weak kernel, and analyze the direction and stability of the bifurcating periodic solutions.
  • Keywords
    bifurcation; delays; frequency-domain analysis; neural nets; Hopf bifurcation analysis; Nyquist criterion; bifurcating periodic solutions; distributed delays; frequency domain; mean delay; stability; two-neuron system; weak kernel; Bifurcation; Delay systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Kernel; Neurofeedback; Neurons; Stability analysis; Stability criteria; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications, Circuits and Systems and West Sino Expositions, IEEE 2002 International Conference on
  • Print_ISBN
    0-7803-7547-5
  • Type

    conf

  • DOI
    10.1109/ICCCAS.2002.1179094
  • Filename
    1179094