写像関数と周期倍分岐カオス特性 : 転がり出し変位曲線を利用した写像関数の場合

概要

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The bifurcation phenomena and chaotic characteristics have been investigated using the previously reported map function. The map function has the parameters m, A and B, and the peak position of curve can be continually changed by the parameter m. The bifurcation point for a cycle of period two (A_1) appeared initially in the map function where m=2, and it shifted to larger values as m increased or decreased. The first bifurcation in the position of accumulation for a cycle of period 2^n(A_c), was generated in case where m=4.59…,. Thus, a bifurcation point 'A_n' clearly indicates a minimum value depending on m in each period. The values of Lyapunov exponent in the chaotic region varied with m, and showed a maximum in the case of m=2. Thus, the parameter m which is contained in the map function greatly infuluences the bifurcation points and chaotic characteristics.
一般社団法人日本機械学会の論文
1995-08-25