• DocumentCode
    1709987
  • Title

    Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps

  • Author

    Dejun, Yan ; Rijing, Yang ; Huijie, Xin ; Jiangchao, Zheng

  • Author_Institution
    Res. Inst. of Non-linear Inf. Technol., Dalian Nat. Univ., Dalian, China
  • fYear
    2010
  • Firstpage
    416
  • Lastpage
    419
  • Abstract
    In this paper we investigate the generalized Mandelbrot sets and Julia sets generated from non-analytic complex maps. We use the escaping time algorithm to construct the generalized Mandelbrot set and Julia sets. We find that the structures of the generalized Mandelbrot sets and the Julia sets are similar to the analytic complex iterated function systems.
  • Keywords
    iterative methods; set theory; Julia sets; Mandelbrot sets; complex iterated function systems; nonanalytic complex maps; Conferences; Fractals; Frequency modulation; Information technology; Jacobian matrices; Orbits; Polynomials; Generalized Mandelbrot Set; Julia Set; Non-analytic Complex Maps;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
  • Conference_Location
    Kunming, Yunnan
  • Print_ISBN
    978-1-4244-8815-5
  • Type

    conf

  • DOI
    10.1109/IWCFTA.2010.42
  • Filename
    5671270
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1709987