• DocumentCode
    1230118
  • Title

    Linearization, stability, and oscillation of the discrete delayed logistic system

  • Author

    Chen, Guanrong ; Liu, Shu Tang

  • Author_Institution
    Dept. of Electron. Eng., City Univ. of Hong Kong, China
  • Volume
    50
  • Issue
    6
  • fYear
    2003
  • fDate
    6/1/2003 12:00:00 AM
  • Firstpage
    822
  • Lastpage
    826
  • Abstract
    Asymptotic behavior of all solutions of the delayed logistic system xn+1+axn=μnxn(1-xn-σ) is investigated. Some sufficient conditions for this equation to be stable are derived, and some necessary and sufficient conditions for oscillations of its solutions are also obtained.
  • Keywords
    asymptotic stability; delay systems; discrete systems; linearisation techniques; oscillations; asymptotic stability; discrete delayed logistic system; linearization; oscillation; Automatic control; Chaos; Circuit stability; Circuits and systems; Delay systems; Difference equations; Logistics; Numerical analysis; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/TCSI.2003.812618
  • Filename
    1208631
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1230118