逻辑斯蒂映像混沌区的几个非线性特征量

Nonlinear Values of Logistic Map in Chaostic Area

运用非线性动力学的方法分析了逻辑斯蒂(Logistic)映像混沌区的几个非线性特征量。采用重现图形(Recurrence plot analysis．RPA)和重现定量(Recurrence quantification analysis．RQA)分析法得出系统存在确定性的规律；计算了序列的关联维数、最大Lyapunov指数和近似熵(Approximate entropy，ApEn)。结果表明：关联维数介于1～2之间，系统的最大Lyapunov指数大于0，ApEn的值为0．676460。

We use several nonlinear means to analysis the nonlinear values of chaostic Logistic map. We use the method of recurrence plot analysis (RPA) and recurrence quantification analysis (RQA) to get the conclusion that the data obeys the deterministic rule. We calculate the correlation dimension (Dc), the largest Lyapunov exponent (λ1) and the approximate entropy (ApEn). It shows that the correlation dimension is between 1 to 2, the largest Lyapunov exponent greater than 0 and the value of approximate entropy is 0. 676460.