Rounding Logistic Maps over Integers and the Properties of the Generated Sequences

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著者

    • ARAKI Shunsuke
    • Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology
    • NOGAMI Yasuyuki
    • Communication Network Engineering, Natural Science and Technology, Okayama University
    • UEHARA Satoshi
    • Faculty of Environmental Engineering, the University of Kitakyushu

抄録

Because of its simple structure, many reports on the logistic map have been presented. To implement this map on computers, finite precision is usually used, and therefore rounding is required. There are five major methods to implement rounding, but, to date, no study of rounding applied to the logistic map has been reported. In the present paper, we present experimental results showing that the properties of sequences generated by the logistic map are heavily dependent on the rounding method used and give a theoretical analysis of each method. Then, we describe why using the map with a floor function for rounding generates long aperiodic subsequences.

収録刊行物

  • IEICE transactions on fundamentals of electronics, communications and computer sciences

    IEICE transactions on fundamentals of electronics, communications and computer sciences 94(9), 1817-1825, 2011-09-01

    一般社団法人 電子情報通信学会

参考文献:  15件中 1-15件 を表示

被引用文献:  1件中 1-1件 を表示

各種コード

  • NII論文ID(NAID)
    10030190802
  • NII書誌ID(NCID)
    AA10826239
  • 本文言語コード
    ENG
  • 資料種別
    ART
  • ISSN
    09168508
  • データ提供元
    CJP書誌  CJP引用  J-STAGE 
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