Abstract: In order to describe the kinetics characteristics of Lorenz system, it proposes a algorithm of multi-resolution complexity. The signal is decomposed by wavelet transform and turned into various components of different scales, then all components’ energy and the signal’s information entropy are calculated under a series of sliding window, the dynamic wavelet entropy——wavelet entropy sequence is obtained. Simulation results show that the algorithm of multi-resolution complexity can well characterize Lorenz system’s transition characteristics and evolution characteristics, which can provide a way in chaotic control and synchronization areas.

Key words: multi-resolution complexity, Lorenz system, wavelet entropy sequence

摘要： 为表征Lorenz系统复杂的动力学特征，提出了一种多分辨率复杂度算法。运用小波变换将信号分解成不同尺度下的各分量，采用滑动窗口依次计算了窗口内各分量的能量值、各能量值的信息熵，获取了动态的小波熵值——小波熵序列。仿真结果表明，多分辨率复杂度算法能够很好地表征Lorenz系统的过渡特征和演变特征，为Lorenz系统在混沌控制、同步等领域的应用提供了一种途径。

关键词: 多分辨率复杂度, Lorenz系统, 小波熵序列