• DocumentCode
    2558922
  • Title

    Sensitive dependence on initial of chaotic semi-group actions

  • Author

    Guan Peng ; Qian Yun

  • Author_Institution
    Dept. of Math., Chaohu Univ., Chaohu, China
  • fYear
    2012
  • fDate
    29-31 May 2012
  • Firstpage
    950
  • Lastpage
    952
  • Abstract
    In this paper, let X a non-empty compact metric place and S a semi-group. By topological transitivity and sensitive dependence on the initial, we introduces a concept of Devaney´s chaos. We prove that topologically strong mixing implies Devaney´s chaos when semi-group S continuously acts on the compact metric space X. At the same time, we popularize the concept of sensitive dependence on initial.
  • Keywords
    chaos; group theory; topology; Devaney chaos; chaotic semigroup action; compact metric space; nonempty compact metric place; sensitive dependence; topological transitivity; topologically strong mixing; Chaos; Entropy; Extraterrestrial measurements; Sensitivity; Space vehicles; Topology; Devaney´s chaos; semi-group action; sensitive dependence on initial;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Natural Computation (ICNC), 2012 Eighth International Conference on
  • Conference_Location
    Chongqing
  • ISSN
    2157-9555
  • Print_ISBN
    978-1-4577-2130-4
  • Type

    conf

  • DOI
    10.1109/ICNC.2012.6234653
  • Filename
    6234653
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2558922