F-1216 フラクタル次元を利用したカオス波形の複雑性評価(J28-2 複雑現象の情報処理と制御)(J28 機械・メカトロシステムにおける複雑系の発現機構の解析・制御・応用)

概要

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In previous study, the characteristics of bifurcation-chaos have been investigated by the map functions that draw an asymmetric parabolic curve. The characteristics of bifurcation-chaos change with the shape of parabolic curve, especially it has been clarified that the location of the lowest value of the first threshold point of bifurcation occurs when the peak position of parabola shifts to a little left location from the center. Thus the occurrence of the first threshold point of bifurcation isn't on the basis of symmetric parabola. In this study, the complexity evaluation of chaos wave, which is produced by the original map function, has been investigated by using a fractal dimension. From simulated results, it has been found that the complexity of chaos wave is closely related to bifurcation-chaos characteristics, and the fractal dimension is depending on the distribution pattern of power spectrum density.
一般社団法人日本機械学会の論文
2001-08-22