• DocumentCode
    2191665
  • Title

    On oscillations in a class of nearly symmetric neural networks

  • Author

    Marco, M. Di ; Forti, M. ; Tesi, A.

  • Author_Institution
    Dipt. di Ingegneria dell´´Informazione, Siena Univ., Italy
  • Volume
    3
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    2738
  • Abstract
    This paper provides a structural condition on the nominal symmetric interconnection matrix of a neural network, which implies the existence of stable limit cycles generated via Hopf bifurcations, even for arbitrarily small perturbations of the interconnections
  • Keywords
    bifurcation; circuit stability; eigenvalues and eigenfunctions; limit cycles; matrix algebra; neural nets; Hopf bifurcations; eigenvalues; limit cycles; neural networks; oscillations; perturbations; stability; structural condition; symmetric interconnection matrix; Bifurcation; Differential equations; Eigenvalues and eigenfunctions; Intelligent networks; Limit-cycles; Neural networks; Neurons; Robust stability; Stationary state; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980686
  • Filename
    980686