• DocumentCode
    761528
  • Title

    Matrix tests for period 1 and 2 limit cycles in discrete threshold networks

  • Author

    Brown, David P.

  • Author_Institution
    Dept. of Electr. Eng., Southern Illinois Univ., Carbondale, IL, USA
  • Volume
    22
  • Issue
    3
  • fYear
    1992
  • Firstpage
    552
  • Lastpage
    554
  • Abstract
    The dynamics of discrete threshold neural networks is studied using a matrix inequality which is shown to be equivalent to the nonlinear state transition equation of the network. Some matrix tests for the existence of period 1 and 2 limit cycles are presented. Some types of vector sequences are shown not to be limit cycles
  • Keywords
    limit cycles; neural nets; discrete threshold neural networks; matrix inequality; matrix tests; nonlinear state transition equation; period 1 limit cycles; period 2 limit cycles; vector sequences; Associative memory; Convergence; Intelligent networks; Limit-cycles; Linear matrix inequalities; Neurons; Nonlinear equations; Pattern recognition; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/21.155955
  • Filename
    155955
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=761528