• DocumentCode
    2438650
  • Title

    Horseshoes in Changeful Systems

  • Author

    Huang, Wen-zhi ; Huang, Yan

  • Author_Institution
    Sch. of Comput. Sci. & Eng., Wuhan Inst. of Technol., Wuhan
  • Volume
    2
  • fYear
    2008
  • fDate
    19-20 Dec. 2008
  • Firstpage
    545
  • Lastpage
    550
  • Abstract
    In this paper we study a changeful system. We show that the system is chaotic by giving a rigorous verification for existence of horseshoes in these systems. We prove that the Poincare maps derived from the system is semi-conjugate to the 2-shift map, and its entropy is no less than log2. Although the system is changeful, the chaotic behavior is robust in the following sense: chaos exists when one parameter varies from 10.91 to 11.05.
  • Keywords
    chaos; Poincare maps; changeful systems; chaotic behavior; horseshoes existence; Chaos; Computational intelligence; Computer industry; Conferences; Differential equations; Displays; Entropy; Fluctuations; Robustness; Switches;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Industrial Application, 2008. PACIIA '08. Pacific-Asia Workshop on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-0-7695-3490-9
  • Type

    conf

  • DOI
    10.1109/PACIIA.2008.397
  • Filename
    4756835