Measurement Method of Fractal Dimension Using Norm Integration Method : Application to Discrete Dynamical Systems after Omega-Logistic Conversion

12 References
  • KAMIJO Kenichi
    Department of Life Sciences, Faculty of Life Sciences, Toyo University
  • YONEYAMA Masahide
    Department of Information and Computer Sciences, Faculty of Engineering, Toyo University

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Other Title
  • ノルム累積法によるフラクタル次元測定法 : オメガ・ロジスティック変換後の離散力学系軌道への適用

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Description

In order to investigate the Fractal Information Structure for the general Orbit of Discrete Dynamical Systems in multi-dimensional Space, a Measuring Method of Fractal Dimension using the Norm Integration Method has been proposed. Paying attention to the norm of the Displacement Vector in the multi-dimensional Space, Cell Integration Algorithm has also been shown for the real time Simulation with various graphs in order to analyze the complex Information Structure. As an example, this method has been applied to the 3-dimensional Discrete Dynamical Systems after Omega-Logistic Conversion. In general, quantities ranged in(0, 1)can be converted into(0, ∞)on the Omega Measure, and also can easily be inverse-converted into the original range(0, 1)after various calculations. Furthermore, the so-called chaotic and complex orbits can be obtained, provided that the orbit follows the logistic time development.

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Details 詳細情報について

  • CRID
    1573387452166124544
  • NII Article ID
    110003198382
  • NII Book ID
    AN10013094
  • Text Lang
    ja
  • Data Source
    • CiNii Articles

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