• DocumentCode
    3036349
  • Title

    Dpq chaos for subshifts of finite type

  • Author

    Liu, Xin ; Wang, Huoyun ; Wu, Hongying

  • Author_Institution
    Dept. of Math., Guangzhou Univ., Guangzhou, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    2447
  • Lastpage
    2449
  • Abstract
    Given 0 ≤ p ≤ q ≤ 1, a dynamical system is said to be Dpq chaotic, if there is an uncountable set in which any two different points have trajectory approaching time set with lower density p and upper density q . In this paper, we show that if a subshift of finite type has positive topological entropy then it is Dpq chaos for any 0 ≤ p ≤ q ≤ 1 .
  • Keywords
    chaos; entropy; nonlinear dynamical systems; set theory; topology; Dpq chaos; dynamical system; finite type subshift; lower density; positive topological entropy; trajectory approaching time set; upper density; Chaos; Education; Entropy; Measurement; Strontium; Trajectory; Dpq chaos; positive entropy; subshifts of finite type;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002379
  • Filename
    6002379
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3036349