The Wada index based on the weighted and truncated Shannon entropy is presented in this paper. The proposed Wada index can detect if a given basin boundary is a Wada boundary. Moreover, the Wada index does represent the number and the distribution of different colors (attractors) in the two-dimensional phase space of initial conditions. The Wada index is based on the standard box counting algorithm, but computations in each box are based on the weighted and truncated Shannon entropy. That makes the algorithm for the computation of the Wada index conveniently applicable for different basins of attraction represented as color digital images. Computational experiments are used to demonstrate the advantages of the proposed index and compare it with other existing techniques and algorithms for the numerical analysis of Wada boundaries.

提出了基于加权和截断的香农熵的Wada指数。建议的Wada指数可以检测给定的盆地边界是否为Wada边界。而且，和田指数确实代表了初始条件的二维相空间中不同颜色（吸引子）的数量和分布。Wada指数基于标准盒计数算法，但是每个盒中的计算均基于加权和截断后的香农熵。这使得用于计算Wada指数的算法方便地适用于以彩色数字图像表示的不同吸引盆地。计算实验用于证明所提出的索引的优点，并将其与其他现有技术和算法进行和田边界数值分析。