• DocumentCode
    2800714
  • Title

    Distributional chaos in coupled map lattices

  • Author

    Wang, Lidong ; Li, Bing ; Chu, Zhenyan

  • Author_Institution
    Math. Dept., Dalian Nat. Univ., Dalian, China
  • fYear
    2009
  • fDate
    17-19 June 2009
  • Firstpage
    1067
  • Lastpage
    1070
  • Abstract
    This paper is mainly concerned with coupled map lattice (CML) of the form xm+1,n=(1-epsiv)f(xm,n)+0.5epsiv{f(xm,n-1)+f(xm,n+1)} where f:RrarrR is a continuous function and misinN0={0, 1,hellip} and nisinZ={hellip, -1, 0, 1,hellip}. A new definition of chaos on recurrent points set in discrete spatiotemporal systems is given and one sufficient condition for this system to be distributionally chaotic is derived.
  • Keywords
    chaos; lattice theory; set theory; spatiotemporal phenomena; continuous function; coupled map lattices; discrete spatiotemporal system; discrete spatiotemporal systems; distributional chaos; Chaos; Interference; Lattices; Partial response channels; Sociology; Spatiotemporal phenomena; Sufficient conditions; Coupled map lattices; Discrete spatiotemporal system; Distributional chaos;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference, 2009. CCDC '09. Chinese
  • Conference_Location
    Guilin
  • Print_ISBN
    978-1-4244-2722-2
  • Electronic_ISBN
    978-1-4244-2723-9
  • Type

    conf

  • DOI
    10.1109/CCDC.2009.5192877
  • Filename
    5192877