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本文对一类离散混沌系统提出一种新的多分辨小波模型 .利用小波时频局域化特性确定最初的小波模型 ,根据匹配寻优准则选择最小的模型结构 .模型的降维分解结构消除了张量积构造多维小波基在高维空间中的“维数灾”问题 .仿真研究不仅表明了该方法辨识混沌系统的有效性 ,还计算了模型的动态不变量 ,并与原系统进行了比较
In this paper, a new multiresolution wavelet model is proposed for a class of discrete chaotic systems. The initial wavelet model is determined by the wavelet time-frequency localization features and the smallest model structure is selected according to the matching optimization criterion. The dimensionless decomposition structure of the model eliminates The tensor product constructs the problem of “dimensionality disaster” in multidimensional wavelet bases in high-dimensional space. The simulation study not only shows the effectiveness of the method in identifying the chaotic system, but also calculates the dynamic invariant of the model and compared with the original system