中文摘要：

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。

英文摘要：

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 componentsénergy 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.