• Title of article

    LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS

  • Author/Authors

    Ayatollah Zadeh Shirazi ، F. - University of Tehran , Nazarian Sarkooh ، J. - Ferdowsi University of Mashhad

  • Pages
    7
  • From page
    289
  • To page
    295
  • Abstract
    ‎In this text we prove that in generalized shift dynamical system (XGamma,sigmavarphi)‎ ‎for finite discrete X with at least two elements‎, ‎infinite countable set Gamma and‎ ‎arbitrary map varphi:GammatoGamma‎, ‎the following statements are equivalent‎: - the dynamical system (XGamma,sigmavarphi) is‎ Li-Yorke chaotic;‎ - the dynamical system (XGamma,sigmavarphi) has‎ an scrambled pair;‎ ‎- the map varphi:GammatoGamma has at least‎ one non-quasi-periodic point‎.
  • Keywords
    Generalized shift , Li , Yorke chaos , Scrambled pair
  • Journal title
    Caspian Journal of Mathematical Sciences
  • Serial Year
    2014
  • Journal title
    Caspian Journal of Mathematical Sciences
  • Record number

    2462088

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2462088