• DocumentCode
    727165
  • Title

    Detection of all low-period windows for the logistic map

  • Author

    Galias, Zbigniew ; Garda, Bartlomiej

  • Author_Institution
    Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Kraków, Poland
  • fYear
    2015
  • fDate
    24-27 May 2015
  • Firstpage
    1698
  • Lastpage
    1700
  • Abstract
    A systematic method to find all low-period windows for the logistic map fa(x) = ax(1 - x) is proposed. The method is used to obtain very good approximations of positions of periodic windows with periods p ≤ 20. For each window using the forward shooting based interval Newton operator we confirm its existence by proving the existence of a sink for several parameter values inside the window and compute a very accurate rigorous lower bound of the window width.
  • Keywords
    Newton method; approximation theory; nonlinear dynamical systems; all low-period window detection; approximation method; forward shooting; interval Newton operator; logistic map; sink existence; systematic method; window width; Approximation methods; Bifurcation; Extraterrestrial measurements; Logistics; Newton method; Orbits; Systematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems (ISCAS), 2015 IEEE International Symposium on
  • Conference_Location
    Lisbon
  • Type

    conf

  • DOI
    10.1109/ISCAS.2015.7168979
  • Filename
    7168979
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=727165